- Eca1The cubic anisotropy energy density for sublattice 1
C++ Type:std::vector<VariableName>
Controllable:No
Description:The cubic anisotropy energy density for sublattice 1
- Eca2The cubic anisotropy energy density for sublattice 2
C++ Type:std::vector<VariableName>
Controllable:No
Description:The cubic anisotropy energy density for sublattice 2
- EdmiThe DMI energy density
C++ Type:std::vector<VariableName>
Controllable:No
Description:The DMI energy density
- Eepa1The easy-plane anisotropy energy density for sublattice 1
C++ Type:std::vector<VariableName>
Controllable:No
Description:The easy-plane anisotropy energy density for sublattice 1
- Eepa2The easy-plane anisotropy energy density for sublattice 2
C++ Type:std::vector<VariableName>
Controllable:No
Description:The easy-plane anisotropy energy density for sublattice 2
- EnlexchThe non-local exchange stiffness energy density
C++ Type:std::vector<VariableName>
Controllable:No
Description:The non-local exchange stiffness energy density
- EsupexchThe superexchange energy density
C++ Type:std::vector<VariableName>
Controllable:No
Description:The superexchange energy density
- variableThe name of the variable that this object applies to
C++ Type:AuxVariableName
Controllable:No
Description:The name of the variable that this object applies to
AFMTotalEnergyDensity
Calculates the sum of energy densities
Overview
Computes the sum of the energy densities relevant for the antiferromagnetic (AFM) ferroelectric (i.e. ),
where , , , , and are the short-range superexchange, Dzyaloshinskii–Moriya interaction, easy-plane anisotropy, weak in-plane anisotropy, and long-range AFM exchange.
Example Input File Syntax
Input Parameters
- blockThe list of blocks (ids or names) that this object will be applied
C++ Type:std::vector<SubdomainName>
Controllable:No
Description:The list of blocks (ids or names) that this object will be applied
- boundaryThe list of boundaries (ids or names) from the mesh where this object applies
C++ Type:std::vector<BoundaryName>
Controllable:No
Description:The list of boundaries (ids or names) from the mesh where this object applies
- check_boundary_restrictedTrueWhether to check for multiple element sides on the boundary in the case of a boundary restricted, element aux variable. Setting this to false will allow contribution to a single element's elemental value(s) from multiple boundary sides on the same element (example: when the restricted boundary exists on two or more sides of an element, such as at a corner of a mesh
Default:True
C++ Type:bool
Controllable:No
Description:Whether to check for multiple element sides on the boundary in the case of a boundary restricted, element aux variable. Setting this to false will allow contribution to a single element's elemental value(s) from multiple boundary sides on the same element (example: when the restricted boundary exists on two or more sides of an element, such as at a corner of a mesh
- execute_onLINEAR TIMESTEP_ENDThe list of flag(s) indicating when this object should be executed, the available options include NONE, INITIAL, LINEAR, NONLINEAR, TIMESTEP_END, TIMESTEP_BEGIN, MULTIAPP_FIXED_POINT_END, MULTIAPP_FIXED_POINT_BEGIN, FINAL, CUSTOM, ALWAYS, PRE_DISPLACE.
Default:LINEAR TIMESTEP_END
C++ Type:ExecFlagEnum
Options:NONE, INITIAL, LINEAR, NONLINEAR, TIMESTEP_END, TIMESTEP_BEGIN, MULTIAPP_FIXED_POINT_END, MULTIAPP_FIXED_POINT_BEGIN, FINAL, CUSTOM, ALWAYS, PRE_DISPLACE
Controllable:No
Description:The list of flag(s) indicating when this object should be executed, the available options include NONE, INITIAL, LINEAR, NONLINEAR, TIMESTEP_END, TIMESTEP_BEGIN, MULTIAPP_FIXED_POINT_END, MULTIAPP_FIXED_POINT_BEGIN, FINAL, CUSTOM, ALWAYS, PRE_DISPLACE.
- prop_getter_suffixAn optional suffix parameter that can be appended to any attempt to retrieve/get material properties. The suffix will be prepended with a '_' character.
C++ Type:MaterialPropertyName
Controllable:No
Description:An optional suffix parameter that can be appended to any attempt to retrieve/get material properties. The suffix will be prepended with a '_' character.
Optional Parameters
- control_tagsAdds user-defined labels for accessing object parameters via control logic.
C++ Type:std::vector<std::string>
Controllable:No
Description:Adds user-defined labels for accessing object parameters via control logic.
- enableTrueSet the enabled status of the MooseObject.
Default:True
C++ Type:bool
Controllable:Yes
Description:Set the enabled status of the MooseObject.
- seed0The seed for the master random number generator
Default:0
C++ Type:unsigned int
Controllable:No
Description:The seed for the master random number generator
- use_displaced_meshFalseWhether or not this object should use the displaced mesh for computation. Note that in the case this is true but no displacements are provided in the Mesh block the undisplaced mesh will still be used.
Default:False
C++ Type:bool
Controllable:No
Description:Whether or not this object should use the displaced mesh for computation. Note that in the case this is true but no displacements are provided in the Mesh block the undisplaced mesh will still be used.
Advanced Parameters
Input Files
(tutorial/BFOspw_P111A111-P111bA111b_m1_H111_alp0a0f7DW.i)
sfreq = 5.0e6
pulseloc = 15.0
[Mesh]
[fileload]
type = FileMeshGenerator
file = out_BFO_P111A111-P111bA111b_m1.e
use_for_exodus_restart = true
[]
[]
[GlobalParams]
mag1_x = mag1_x
mag1_y = mag1_y
mag1_z = mag1_z
mag2_x = mag2_x
mag2_y = mag2_y
mag2_z = mag2_z
antiphase_A_x = antiphase_A_x
antiphase_A_y = antiphase_A_y
antiphase_A_z = antiphase_A_z
polar_x = polar_x
polar_y = polar_y
polar_z = polar_z
H_x = H_x
H_y = H_y
H_z = H_z
[]
[Materials]
[./constants] # Constants used in other material properties
type = GenericConstantMaterial
prop_names = ' De D0 g0mu0Ms g0 K1 K1c Kt permittivity Ae Ms'
prop_values = ' 3.7551 0.003 48291.9 48291.9 -5.0068 -0.0550748 -0.00365997 1.0 0.75 1.0'
[../]
[./a_long]
type = GenericFunctionMaterial
prop_names = 'alpha_long'
prop_values = 'bc_func_1'
[../]
[./alpha]
type = GenericFunctionMaterial
prop_names = 'alpha'
prop_values = '0.0'
[../]
[]
[Functions]
[./bc_func_1]
type = ParsedFunction
value = 'st'
vars = 'st'
vals = '1e5'
[../]
[./pulse1]
type = ParsedFunction
vars = 't0 t1 A'
vals = '0.0 100.0 0.707107'
value = 1.0*A*0.2*exp(-0.16*(x-${pulseloc})*(x-${pulseloc}))*(sin(10.0*(x-${pulseloc}))/(10.0*(x-${pulseloc})))*sin(${sfreq}*(t-1e-6))/(${sfreq}*(t-1e-6))
[../]
[./pulse2]
type = ParsedFunction
vars = 't0 t1 A'
vals = '0.0 100.0 0.707107'
value = 1.0*A*0.2*exp(-0.16*(x-${pulseloc})*(x-${pulseloc}))*(sin(10.0*(x-${pulseloc}))/(10.0*(x-${pulseloc})))*sin(${sfreq}*(t-1e-6))/(${sfreq}*(t-1e-6))
[../]
[./pulse3]
type = ParsedFunction
vars = 't0 t1 A'
vals = '0.0 100.0 0.707107'
value = 1.0*A*0.2*exp(-0.16*(x-${pulseloc})*(x-${pulseloc}))*(sin(10.0*(x-${pulseloc}))/(10.0*(x-${pulseloc})))*sin(${sfreq}*(t-1e-6))/(${sfreq}*(t-1e-6))
[../]
[]
[Variables]
[./mag1_x]
order = FIRST
family = LAGRANGE
initial_from_file_var = mag1_x
initial_from_file_timestep = 'LATEST'
[../]
[./mag1_y]
order = FIRST
family = LAGRANGE
initial_from_file_var = mag1_y
initial_from_file_timestep = 'LATEST'
[../]
[./mag1_z]
order = FIRST
family = LAGRANGE
initial_from_file_var = mag1_z
initial_from_file_timestep = 'LATEST'
[../]
[./mag2_x]
order = FIRST
family = LAGRANGE
initial_from_file_var = mag2_x
initial_from_file_timestep = 'LATEST'
[../]
[./mag2_y]
order = FIRST
family = LAGRANGE
initial_from_file_var = mag2_y
initial_from_file_timestep = 'LATEST'
[../]
[./mag2_z]
order = FIRST
family = LAGRANGE
initial_from_file_var = mag2_z
initial_from_file_timestep = 'LATEST'
[../]
[]
[AuxVariables]
[./mag1_s]
order = FIRST
family = LAGRANGE
[../]
[./mag2_s]
order = FIRST
family = LAGRANGE
[../]
[./Neel_L_x]
order = FIRST
family = LAGRANGE
[../]
[./Neel_L_y]
order = FIRST
family = LAGRANGE
[../]
[./Neel_L_z]
order = FIRST
family = LAGRANGE
[../]
[./SSMag_x]
order = CONSTANT
family = MONOMIAL
[../]
[./SSMag_y]
order = CONSTANT
family = MONOMIAL
[../]
[./SSMag_z]
order = CONSTANT
family = MONOMIAL
[../]
[./antiphase_A_x]
order = FIRST
family = LAGRANGE
initial_from_file_var = antiphase_A_x
initial_from_file_timestep = 'LATEST'
[../]
[./antiphase_A_y]
order = FIRST
family = LAGRANGE
initial_from_file_var = antiphase_A_y
initial_from_file_timestep = 'LATEST'
[../]
[./antiphase_A_z]
order = FIRST
family = LAGRANGE
initial_from_file_var = antiphase_A_z
initial_from_file_timestep = 'LATEST'
[../]
[./polar_x]
order = FIRST
family = LAGRANGE
initial_from_file_var = polar_x
initial_from_file_timestep = 'LATEST'
[../]
[./polar_y]
order = FIRST
family = LAGRANGE
initial_from_file_var = polar_y
initial_from_file_timestep = 'LATEST'
[../]
[./polar_z]
order = FIRST
family = LAGRANGE
initial_from_file_var = polar_z
initial_from_file_timestep = 'LATEST'
[../]
#############################################################
##
## other angles
##
###########################################################
[./ph]
order = FIRST
family = LAGRANGE
[../]
[./th1]
order = FIRST
family = LAGRANGE
[../]
[./th2]
order = FIRST
family = LAGRANGE
[../]
[./H_x]
order = FIRST
family = LAGRANGE
[./InitialCondition]
type = FunctionIC
function = pulse1
[../]
[../]
[./H_y]
order = FIRST
family = LAGRANGE
[./InitialCondition]
type = FunctionIC
function = pulse2
[../]
[../]
[./H_z]
order = FIRST
family = LAGRANGE
[./InitialCondition]
type = FunctionIC
function = pulse3
[../]
[../]
##############################
## ##
## Initial energy density ##
## ##
##############################
[./t0Etot]
order = CONSTANT
family = MONOMIAL
[../]
######################
## ##
## Energy density ##
## ##
######################
[./Edmi]
order = CONSTANT
family = MONOMIAL
[../]
[./Esupexch]
order = CONSTANT
family = MONOMIAL
[../]
[./Enlexch]
order = CONSTANT
family = MONOMIAL
[../]
[./Eepa1]
order = CONSTANT
family = MONOMIAL
[../]
[./Eepa2]
order = CONSTANT
family = MONOMIAL
[../]
[./Eca1]
order = CONSTANT
family = MONOMIAL
[../]
[./Eca2]
order = CONSTANT
family = MONOMIAL
[../]
[./Etot]
order = CONSTANT
family = MONOMIAL
[../]
#############################
## ##
## Excess energy density ##
## ##
#############################
[./excessEtot]
order = CONSTANT
family = MONOMIAL
[../]
[]
[Kernels]
#---------------------------------------#
# #
# Time dependence #
# #
#---------------------------------------#
[./mag1_x_time]
type = TimeDerivative
variable = mag1_x
[../]
[./mag1_y_time]
type = TimeDerivative
variable = mag1_y
[../]
[./mag1_z_time]
type = TimeDerivative
variable = mag1_z
[../]
[./mag2_x_time]
type = TimeDerivative
variable = mag2_x
[../]
[./mag2_y_time]
type = TimeDerivative
variable = mag2_y
[../]
[./mag2_z_time]
type = TimeDerivative
variable = mag2_z
[../]
#---------------------------------------#
# #
# AFM sublattice exchange #
# #
#---------------------------------------#
[./afmex1_x]
type = AFMSublatticeSuperexchange
variable = mag1_x
mag_sub = 0
component = 0
[../]
[./afmex1_y]
type = AFMSublatticeSuperexchange
variable = mag1_y
mag_sub = 0
component = 1
[../]
[./afmex1_z]
type = AFMSublatticeSuperexchange
variable = mag1_z
mag_sub = 0
component = 2
[../]
[./afmex2_x]
type = AFMSublatticeSuperexchange
variable = mag2_x
mag_sub = 1
component = 0
[../]
[./afmex2_y]
type = AFMSublatticeSuperexchange
variable = mag2_y
mag_sub = 1
component = 1
[../]
[./afmex2_z]
type = AFMSublatticeSuperexchange
variable = mag2_z
mag_sub = 1
component = 2
[../]
#---------------------------------------#
# #
# AFM sublattice DMI #
# #
#---------------------------------------#
[./afmdmi1_x]
type = AFMSublatticeDMInteraction
variable = mag1_x
mag_sub = 0
component = 0
[../]
[./afmdmi1_y]
type = AFMSublatticeDMInteraction
variable = mag1_y
mag_sub = 0
component = 1
[../]
[./afmdmi1_z]
type = AFMSublatticeDMInteraction
variable = mag1_z
mag_sub = 0
component = 2
[../]
[./afmdmi2_x]
type = AFMSublatticeDMInteraction
variable = mag2_x
mag_sub = 1
component = 0
[../]
[./afmdmi2_y]
type = AFMSublatticeDMInteraction
variable = mag2_y
mag_sub = 1
component = 1
[../]
[./afmdmi2_z]
type = AFMSublatticeDMInteraction
variable = mag2_z
mag_sub = 1
component = 2
[../]
#---------------------------------------#
# #
# Magnetocrystalline anisotropy for #
# the AFM sublattice in easy-plane #
# #
#---------------------------------------#
[./afma1_x]
type = AFMEasyPlaneAnisotropy
variable = mag1_x
mag_sub = 0
component = 0
[../]
[./afma1_y]
type = AFMEasyPlaneAnisotropy
variable = mag1_y
mag_sub = 0
component = 1
[../]
[./afma1_z]
type = AFMEasyPlaneAnisotropy
variable = mag1_z
mag_sub = 0
component = 2
[../]
[./afma2_x]
type = AFMEasyPlaneAnisotropy
variable = mag2_x
mag_sub = 1
component = 0
[../]
[./afma2_y]
type = AFMEasyPlaneAnisotropy
variable = mag2_y
mag_sub = 1
component = 1
[../]
[./afma2_z]
type = AFMEasyPlaneAnisotropy
variable = mag2_z
mag_sub = 1
component = 2
[../]
#---------------------------------------#
# #
# Single-ion anisotropy environment #
# for the AFM sublattice in the #
# degenerate easy-plane #
# #
#---------------------------------------#
[./afmsia1_x]
type = AFMSingleIonCubicSixthAnisotropy
variable = mag1_x
mag_sub = 0
component = 0
[../]
[./afmsia1_y]
type = AFMSingleIonCubicSixthAnisotropy
variable = mag1_y
mag_sub = 0
component = 1
[../]
[./afmsia1_z]
type = AFMSingleIonCubicSixthAnisotropy
variable = mag1_z
mag_sub = 0
component = 2
[../]
[./afmsia2_x]
type = AFMSingleIonCubicSixthAnisotropy
variable = mag2_x
mag_sub = 1
component = 0
[../]
[./afmsia2_y]
type = AFMSingleIonCubicSixthAnisotropy
variable = mag2_y
mag_sub = 1
component = 1
[../]
[./afmsia2_z]
type = AFMSingleIonCubicSixthAnisotropy
variable = mag2_z
mag_sub = 1
component = 2
[../]
#---------------------------------------#
# #
# LLB constraint terms #
# #
#---------------------------------------#
[./llb1_x]
type = LongitudinalLLB
variable = mag1_x
mag_x = mag1_x
mag_y = mag1_y
mag_z = mag1_z
component = 0
[../]
[./llb1_y]
type = LongitudinalLLB
variable = mag1_y
mag_x = mag1_x
mag_y = mag1_y
mag_z = mag1_z
component = 1
[../]
[./llb1_z]
type = LongitudinalLLB
variable = mag1_z
mag_x = mag1_x
mag_y = mag1_y
mag_z = mag1_z
component = 2
[../]
[./llb2_x]
type = LongitudinalLLB
variable = mag2_x
mag_x = mag2_x
mag_y = mag2_y
mag_z = mag2_z
component = 0
[../]
[./llb2_y]
type = LongitudinalLLB
variable = mag2_y
mag_x = mag2_x
mag_y = mag2_y
mag_z = mag2_z
component = 1
[../]
[./llb2_z]
type = LongitudinalLLB
variable = mag2_z
mag_x = mag2_x
mag_y = mag2_y
mag_z = mag2_z
component = 2
[../]
#---------------------------------------#
# #
# Local magnetic exchange #
# #
#---------------------------------------#
[./dllg1_x_exch]
type = ExchangeCartLL
variable = mag1_x
component = 0
mag_x = mag1_x
mag_y = mag1_y
mag_z = mag1_z
[../]
[./dllg1_y_exch]
type = ExchangeCartLL
variable = mag1_y
component = 1
mag_x = mag1_x
mag_y = mag1_y
mag_z = mag1_z
[../]
[./dllg1_z_exch]
type = ExchangeCartLL
variable = mag1_z
component = 2
mag_x = mag1_x
mag_y = mag1_y
mag_z = mag1_z
[../]
[./dllg2_x_exch]
type = ExchangeCartLL
variable = mag2_x
component = 0
mag_x = mag2_x
mag_y = mag2_y
mag_z = mag2_z
[../]
[./dllg2_y_exch]
type = ExchangeCartLL
variable = mag2_y
component = 1
mag_x = mag2_x
mag_y = mag2_y
mag_z = mag2_z
[../]
[./dllg2_z_exch]
type = ExchangeCartLL
variable = mag2_z
component = 2
mag_x = mag2_x
mag_y = mag2_y
mag_z = mag2_z
[../]
#---------------------------------------#
# #
# Local AFM magnetic exchange #
# (Local-term) #
#---------------------------------------#
[./dllg1afm_x_exch]
type = AFMLocalSublatticeExchangeCartLL
variable = mag1_x
mag_sub = 0
component = 0
[../]
[./dllg1afm_y_exch]
type = AFMLocalSublatticeExchangeCartLL
variable = mag1_y
mag_sub = 0
component = 1
[../]
[./dllg1afm_z_exch]
type = AFMLocalSublatticeExchangeCartLL
variable = mag1_z
mag_sub = 0
component = 2
[../]
[./dllg2afm_x_exch]
type = AFMLocalSublatticeExchangeCartLL
variable = mag2_x
mag_sub = 1
component = 0
[../]
[./dllg2afm_y_exch]
type = AFMLocalSublatticeExchangeCartLL
variable = mag2_y
mag_sub = 1
component = 1
[../]
[./dllg2afm_z_exch]
type = AFMLocalSublatticeExchangeCartLL
variable = mag2_z
mag_sub = 1
component = 2
[../]
#---------------------------------------#
# #
# Interaction with demag and #
# applied field #
# #
#---------------------------------------#
[./dllg1_x_int]
type = AFMInteractionCartLLHConst
variable = mag1_x
mag_sub = 0
component = 0
[../]
[./dllg1_y_int]
type = AFMInteractionCartLLHConst
variable = mag1_y
mag_sub = 0
component = 1
[../]
[./dllg1_z_int]
type = AFMInteractionCartLLHConst
variable = mag1_z
mag_sub = 0
component = 2
[../]
[./dllg2_x_int]
type = AFMInteractionCartLLHConst
variable = mag2_x
mag_sub = 1
component = 0
[../]
[./dllg2_y_int]
type = AFMInteractionCartLLHConst
variable = mag2_y
mag_sub = 1
component = 1
[../]
[./dllg2_z_int]
type = AFMInteractionCartLLHConst
variable = mag2_z
mag_sub = 1
component = 2
[../]
[]
[AuxKernels]
[./hx]
type = FunctionAux
variable = H_x
function = pulse1
execute_on = 'initial timestep_end final'
[../]
[./hy]
type = FunctionAux
variable = H_y
function = pulse2
execute_on = 'initial timestep_end final'
[../]
[./hz]
type = FunctionAux
variable = H_z
function = pulse3
execute_on = 'initial timestep_end final'
[../]
[./mag1_mag]
type = VectorMag
variable = mag1_s
vector_x = mag1_x
vector_y = mag1_y
vector_z = mag1_z
execute_on = 'initial timestep_end final'
[../]
[./mag2_mag]
type = VectorMag
variable = mag2_s
vector_x = mag2_x
vector_y = mag2_y
vector_z = mag2_z
execute_on = 'initial timestep_end final'
[../]
[./Neel_Lx]
type = VectorDiffOrSum
variable = Neel_L_x
var1 = mag1_x
var2 = mag2_x
diffOrSum = 0
execute_on = 'initial timestep_end final'
[../]
[./Neel_Ly]
type = VectorDiffOrSum
variable = Neel_L_y
var1 = mag1_y
var2 = mag2_y
diffOrSum = 0
execute_on = 'initial timestep_end final'
[../]
[./Neel_Lz]
type = VectorDiffOrSum
variable = Neel_L_z
var1 = mag1_z
var2 = mag2_z
diffOrSum = 0
execute_on = 'initial timestep_end final'
[../]
[./smallSignalMag_x]
type = VectorDiffOrSum
variable = SSMag_x
var1 = mag1_x
var2 = mag2_x
diffOrSum = 1
execute_on = 'initial timestep_end final'
[../]
[./smallSignalMag_y]
type = VectorDiffOrSum
variable = SSMag_y
var1 = mag1_y
var2 = mag2_y
diffOrSum = 1
execute_on = 'initial timestep_end final'
[../]
[./smallSignalMag_z]
type = VectorDiffOrSum
variable = SSMag_z
var1 = mag1_z
var2 = mag2_z
diffOrSum = 1
execute_on = 'initial timestep_end final'
[../]
[./phc]
type = AngleBetweenTwoVectors
variable = ph
var1x = mag1_x
var1y = mag1_y
var1z = mag1_z
var2x = mag2_x
var2y = mag2_y
var2z = mag2_z
execute_on = 'initial timestep_end final'
[../]
[./th1c]
type = AngleBetweenTwoVectors
variable = th1
var1x = mag1_x
var1y = mag1_y
var1z = mag1_z
var2x = polar_x
var2y = polar_y
var2z = polar_z
execute_on = 'initial timestep_end final'
[../]
[./th2c]
type = AngleBetweenTwoVectors
variable = th2
var1x = mag2_x
var1y = mag2_y
var1z = mag2_z
var2x = polar_x
var2y = polar_y
var2z = polar_z
execute_on = 'initial timestep_end final'
[../]
#---------------------------------------#
# #
# Energy density #
# #
#---------------------------------------#
[./cEdmi]
type = AFMSublatticeDMInteractionEnergyDensity
variable = Edmi
execute_on = 'initial timestep_end final'
energy_scale = -6241.51
[../]
[./cEsupexch]
type = AFMSublatticeSuperexchangeEnergyDensity
variable = Esupexch
execute_on = 'initial timestep_end final'
energy_scale = 6241.51
[../]
[./cEnlexch]
type = AFMExchangeStiffnessEnergyDensity
variable = Enlexch
Neel_L_x = Neel_L_x
Neel_L_y = Neel_L_y
Neel_L_z = Neel_L_z
execute_on = 'initial timestep_end final'
energy_scale = 6241.51
[../]
[./cEepa1]
type = AFMEasyPlaneAnisotropyEnergyDensity
variable = Eepa1
execute_on = 'initial timestep_end final'
mag_x = mag1_x
mag_y = mag1_y
mag_z = mag1_z
energy_scale = 6241.51
[../]
[./cEepa2]
type = AFMEasyPlaneAnisotropyEnergyDensity
variable = Eepa2
execute_on = 'initial timestep_end final'
mag_x = mag2_x
mag_y = mag2_y
mag_z = mag2_z
energy_scale = 6241.51
[../]
[./cEca1]
type = AFMSingleIonCubicSixthAnisotropyEnergyDensity
variable = Eca1
execute_on = 'initial timestep_end final'
mag_x = mag1_x
mag_y = mag1_y
mag_z = mag1_z
energy_scale = 6241.51
[../]
[./cEca2]
type = AFMSingleIonCubicSixthAnisotropyEnergyDensity
variable = Eca2
execute_on = 'initial timestep_end final'
mag_x = mag2_x
mag_y = mag2_y
mag_z = mag2_z
energy_scale = 6241.51
[../]
[./cEdtot]
type = AFMTotalEnergyDensity
variable = Etot
execute_on = 'initial timestep_end final'
Edmi = Edmi
Esupexch = Esupexch
Enlexch = Enlexch
Eepa1 = Eepa1
Eepa2 = Eepa2
Eca1 = Eca1
Eca2 = Eca2
[../]
[./ct0Edtot]
type = AFMTotalEnergyDensity
variable = t0Etot
execute_on = 'initial'
Edmi = Edmi
Esupexch = Esupexch
Enlexch = Enlexch
Eepa1 = Eepa1
Eepa2 = Eepa2
Eca1 = Eca1
Eca2 = Eca2
[../]
[./excessEdtot]
type = VectorDiffOrSum
variable = excessEtot
diffOrSum = 0
var1 = Etot
var2 = t0Etot
execute_on = 'initial timestep_end final'
[../]
[]
[BCs]
#---------------------------------------#
# #
# periodic magnetization distribution #
# #
#---------------------------------------#
[./Periodic]
[./xyz]
auto_direction = 'x y z'
variable = 'mag1_x mag1_y mag1_z mag2_x mag2_y mag2_z'
[../]
[../]
[]
[Postprocessors]
[./dt]
type = TimestepSize
[../]
#---------------------------------------#
# #
# Average Mk = |m_k| and along #
# other directions #
# #
#---------------------------------------#
[./M1]
type = ElementAverageValue
variable = mag1_s
execute_on = 'initial timestep_end final'
[../]
[./M2]
type = ElementAverageValue
variable = mag2_s
execute_on = 'initial timestep_end final'
[../]
#---------------------------------------#
# #
# Calculate exchange energy of #
# the magnetic body #
# #
#---------------------------------------#
[./FafmSLexch]
type = AFMSublatticeSuperexchangeEnergy
execute_on = 'initial timestep_end final'
mag1_x = mag1_x
mag1_y = mag1_y
mag1_z = mag1_z
mag2_x = mag2_x
mag2_y = mag2_y
mag2_z = mag2_z
energy_scale = 6241.51
[../]
[./FafmSLdmi]
type = AFMSublatticeDMInteractionEnergy
execute_on = 'initial timestep_end final'
energy_scale = -6241.51
[../]
#----------------------------------------#
# #
# Calculate excess energy from missed #
# LLB targets #
# #
#----------------------------------------#
[./Fllb1]
type = MagneticExcessLLBEnergy
mag_x = mag1_x
mag_y = mag1_y
mag_z = mag1_z
execute_on = 'initial timestep_end final'
[../]
[./Fllb2]
type = MagneticExcessLLBEnergy
mag_x = mag2_x
mag_y = mag2_y
mag_z = mag2_z
execute_on = 'initial timestep_end final'
[../]
#---------------------------------------#
# #
# Calculate the anisotropy energy #
# #
#---------------------------------------#
[./Fa1]
type = AFMEasyPlaneAnisotropyEnergy
execute_on = 'initial timestep_end final'
mag_x = mag1_x
mag_y = mag1_y
mag_z = mag1_z
energy_scale = 6241.51
[../]
[./Fa2]
type = AFMEasyPlaneAnisotropyEnergy
execute_on = 'initial timestep_end final'
mag_x = mag2_x
mag_y = mag2_y
mag_z = mag2_z
energy_scale = 6241.51
[../]
[./Fsia1]
type = AFMSingleIonCubicSixthAnisotropyEnergy
execute_on = 'initial timestep_end final'
mag_x = mag1_x
mag_y = mag1_y
mag_z = mag1_z
energy_scale = 6241.51
[../]
[./Fsia2]
type = AFMSingleIonCubicSixthAnisotropyEnergy
execute_on = 'initial timestep_end final'
mag_x = mag2_x
mag_y = mag2_y
mag_z = mag2_z
energy_scale = 6241.51
[../]
#---------------------------------------#
# #
# add all the energy contributions #
# and calculate their percent change #
# #
#---------------------------------------#
[./Ftot]
type = LinearCombinationPostprocessor
pp_names = 'FafmSLexch FafmSLdmi Fa1 Fa2 Fsia1 Fsia2'
pp_coefs = ' 1.0 1.0 1.0 1.0 1.0 1.0'
execute_on = 'initial timestep_end final'
[../]
[./FtotLLB]
type = LinearCombinationPostprocessor
pp_names = 'Fllb1 Fllb2'
pp_coefs = ' 1.0 1.0'
execute_on = 'initial timestep_end final'
[../]
[./perc_change]
type = EnergyRatePostprocessor
postprocessor = Ftot
dt = dt
execute_on = 'timestep_end final'
[../]
[./elapsed]
type = PerfGraphData
section_name = "Root" # for profiling the problem
data_type = total
[../]
#---------------------------------------#
# #
# PointValue postprocessors of the #
# excess energy #
# #
#---------------------------------------#
[./p1_excessEtot]
type = PointValue
variable = excessEtot
point = '4.95 0.5 0.5'
execute_on = 'initial timestep_end final'
[../]
[./p2_excessEtot]
type = PointValue
variable = excessEtot
point = '11.0 0.5 0.5'
execute_on = 'initial timestep_end final'
[../]
[./DW_excessEtot]
type = PointValue
variable = excessEtot
point = '7.95 0.5 0.5'
execute_on = 'initial timestep_end final'
[../]
[]
[UserObjects]
[]
[Preconditioning]
#---------------------------------------#
# #
# Solver options #
# #
#---------------------------------------#
[./smp]
type = SMP
full = true
petsc_options_iname = ' -ksp_gmres_restart -snes_atol -snes_rtol -ksp_rtol -pc_type '
petsc_options_value = ' 250 1e-7 1e-6 1e-4 bjacobi'
[../]
[]
[Executioner]
type = Transient
solve_type = 'NEWTON'
[./TimeIntegrator]
type = NewmarkBeta
[../]
dtmin = 1e-18
dtmax = 5.0e-8
[./TimeStepper]
type = IterationAdaptiveDT
optimal_iterations = 25 #usually 10
linear_iteration_ratio = 100
dt = 1e-8
growth_factor = 1.1
[../]
num_steps = 541
end_time = 3.5e-5
[]
[Outputs]
print_linear_residuals = false
[./out]
execute_on = 'timestep_end'
type = Exodus
file_base = out_BFOspw_P111A111-P111bA111b_m1_H111_alp0a0f7
elemental_as_nodal = true
interval = 5
[../]
[./outCSV]
type = CSV
execute_on = 'timestep_end'
file_base = out_BFOspw_P111A111-P111bA111b_m1_H111_alp0a0f7
[../]
[]
(tutorial/BFO_mag_wall_rd.i)
##############################
##
## UNITS:
##
## gamma = (2.2101*10^5 / 2 pi) m/C
##
## gamma/(mu*0Ms) = 48291.9 nm*mus/pg
##
## coefficients given in (pg/nm*mus)
## which is equivalent to an energy/vol
##
## Effective fields are 1/(mu0*Ms)*coeff
## which gives units of aC/(nm*mus)
##
## Energies are natively printed in units
## of 0.160218 pg nm^2 / mus^2
## or 1.60218*10^{-22} J
## or 0.001 eV
##
##############################
Dedef = 3.7551
D0def = 0.003
K1def = -5.0068
K1cdef = -0.0550748
Ktdef = -0.00365997
alphadef = 0.8
#freq = 0.2
corr = 0.0005
dwid = 0.5
hamp = 0.35355339059327373
fDW = 7.88
sDW = 23.53
[Mesh]
[fileload]
type = FileMeshGenerator
file = BFO_dwP1A1_100_ref.e
use_for_exodus_restart = true
[]
[]
[GlobalParams]
mag1_x = mag1_x
mag1_y = mag1_y
mag1_z = mag1_z
mag2_x = mag2_x
mag2_y = mag2_y
mag2_z = mag2_z
antiphase_A_x = antiphase_A_x
antiphase_A_y = antiphase_A_y
antiphase_A_z = antiphase_A_z
polar_x = polar_x
polar_y = polar_y
polar_z = polar_z
[]
[Materials]
############################################################################
##==
## material constants used.
##
##
############################################################################
[./constants]
type = GenericConstantMaterial
prop_names = ' alpha De D0 g0mu0Ms g0 K1 K1c Kt permittivity Ae Ms '
prop_values = '${alphadef} ${Dedef} ${D0def} 48291.9 48291.9 ${K1def} ${K1cdef} ${Ktdef} 1.0 0.75 1.0 '
[../]
[./a_long]
type = GenericFunctionMaterial
prop_names = 'alpha_long'
prop_values = 'bc_func_1'
[../]
[]
[Functions]
##############################
##
## Define the ramping function
## expression to be used
##==
##############################
[./bc_func_1]
type = ParsedFunction
value = 'st'
vars = 'st'
vals = '1e8'
[../]
[./stripem1x]
type = ParsedFunction
value = 'if(x < 15.707963267948966,(${hamp}+${corr})*tanh(${dwid}*(x-${fDW}))+${hamp},-(${hamp}+${corr})*tanh(${dwid}*(x-${sDW}))+${hamp})'
[../]
[./stripem1y]
type = ParsedFunction
value = 'if(x < 15.707963267948966,-(2*${hamp}+${corr})*tanh(${dwid}*(x-${fDW})),(2*${hamp}+${corr})*tanh(${dwid}*(x-${sDW})))'
[../]
[./stripem1z]
type = ParsedFunction
value = 'if(x < 15.707963267948966,-(${hamp}+${corr})*tanh(${dwid}*(x-${fDW}))+${hamp},(${hamp}+${corr})*tanh(${dwid}*(x-${sDW}))+${hamp})'
[../]
[./stripem2x]
type = ParsedFunction
value = 'if(x < 15.707963267948966,-(${hamp}-${corr})*tanh(${dwid}*(x-${fDW}))-${hamp},(${hamp}-${corr})*tanh(${dwid}*(x-${sDW}))-${hamp})'
[../]
[./stripem2y]
type = ParsedFunction
value = 'if(x < 15.707963267948966,(2*${hamp}-${corr})*tanh(${dwid}*(x-${fDW})),-(2*${hamp}-${corr})*tanh(${dwid}*(x-${sDW})))'
[../]
[./stripem2z]
type = ParsedFunction
value = 'if(x < 15.707963267948966,(${hamp}-${corr})*tanh(${dwid}*(x-${fDW}))-${hamp},-(${hamp}-${corr})*tanh(${dwid}*(x-${sDW}))-${hamp})'
[../]
[]
#==
[Variables]
[./mag1_x]
order = FIRST
family = LAGRANGE
[./InitialCondition]
type = FunctionIC
function = stripem1x
[../]
[../]
[./mag1_y]
order = FIRST
family = LAGRANGE
[./InitialCondition]
type = FunctionIC
function = stripem1y
[../]
[../]
[./mag1_z]
order = FIRST
family = LAGRANGE
[./InitialCondition]
type = FunctionIC
function = stripem1z
[../]
[../]
[./mag2_x]
order = FIRST
family = LAGRANGE
[./InitialCondition]
type = FunctionIC
function = stripem2x
[../]
[../]
[./mag2_y]
order = FIRST
family = LAGRANGE
[./InitialCondition]
type = FunctionIC
function = stripem2y
[../]
[../]
[./mag2_z]
order = FIRST
family = LAGRANGE
[./InitialCondition]
type = FunctionIC
function = stripem2z
[../]
[../]
[]
[AuxVariables]
[./mag1_s]
order = FIRST
family = LAGRANGE
[../]
[./mag2_s]
order = FIRST
family = LAGRANGE
[../]
[./Neel_L_x]
order = FIRST
family = LAGRANGE
[../]
[./Neel_L_y]
order = FIRST
family = LAGRANGE
[../]
[./Neel_L_z]
order = FIRST
family = LAGRANGE
[../]
[./SSMag_x]
order = FIRST
family = LAGRANGE
[../]
[./SSMag_y]
order = FIRST
family = LAGRANGE
[../]
[./SSMag_z]
order = FIRST
family = LAGRANGE
[../]
[./antiphase_A_x]
order = FIRST
family = LAGRANGE
initial_from_file_var = antiphase_A_x
initial_from_file_timestep = 'LATEST'
[../]
[./antiphase_A_y]
order = FIRST
family = LAGRANGE
initial_from_file_var = antiphase_A_y
initial_from_file_timestep = 'LATEST'
[../]
[./antiphase_A_z]
order = FIRST
family = LAGRANGE
initial_from_file_var = antiphase_A_z
initial_from_file_timestep = 'LATEST'
[../]
[./polar_x]
order = FIRST
family = LAGRANGE
initial_from_file_var = polar_x
initial_from_file_timestep = 'LATEST'
[../]
[./polar_y]
order = FIRST
family = LAGRANGE
initial_from_file_var = polar_y
initial_from_file_timestep = 'LATEST'
[../]
[./polar_z]
order = FIRST
family = LAGRANGE
initial_from_file_var = polar_z
initial_from_file_timestep = 'LATEST'
[../]
[./dSSMag_dt_x]
order = CONSTANT
family = MONOMIAL
[../]
[./dSSMag_dt_y]
order = CONSTANT
family = MONOMIAL
[../]
[./dSSMag_dt_z]
order = CONSTANT
family = MONOMIAL
[../]
[./dL_dt_x]
order = CONSTANT
family = MONOMIAL
[../]
[./dL_dt_y]
order = CONSTANT
family = MONOMIAL
[../]
[./dL_dt_z]
order = CONSTANT
family = MONOMIAL
[../]
#############################################################
##
## other angles
##
###########################################################
[./ph]
order = FIRST
family = LAGRANGE
[../]
[./th1]
order = FIRST
family = LAGRANGE
[../]
[./th2]
order = FIRST
family = LAGRANGE
[../]
######################
## ##
## Energy density ##
## ##
######################
[./Edmi]
order = CONSTANT
family = MONOMIAL
[../]
[./Esupexch]
order = CONSTANT
family = MONOMIAL
[../]
[./Enlexch]
order = CONSTANT
family = MONOMIAL
[../]
[./Eepa1]
order = CONSTANT
family = MONOMIAL
[../]
[./Eepa2]
order = CONSTANT
family = MONOMIAL
[../]
[./Eca1]
order = CONSTANT
family = MONOMIAL
[../]
[./Eca2]
order = CONSTANT
family = MONOMIAL
[../]
[./Etot]
order = CONSTANT
family = MONOMIAL
[../]
[]
[Kernels]
#---------------------------------------#
# #
# Time dependence #
# #
#---------------------------------------#
[./mag1_x_time]
type = TimeDerivative
variable = mag1_x
[../]
[./mag1_y_time]
type = TimeDerivative
variable = mag1_y
[../]
[./mag1_z_time]
type = TimeDerivative
variable = mag1_z
[../]
[./mag2_x_time]
type = TimeDerivative
variable = mag2_x
[../]
[./mag2_y_time]
type = TimeDerivative
variable = mag2_y
[../]
[./mag2_z_time]
type = TimeDerivative
variable = mag2_z
[../]
#---------------------------------------#
# #
# AFM sublattice exchange #
# #
#---------------------------------------#
[./afmex1_x]
type = AFMSublatticeSuperexchange
variable = mag1_x
mag_sub = 0
component = 0
[../]
[./afmex1_y]
type = AFMSublatticeSuperexchange
variable = mag1_y
mag_sub = 0
component = 1
[../]
[./afmex1_z]
type = AFMSublatticeSuperexchange
variable = mag1_z
mag_sub = 0
component = 2
[../]
[./afmex2_x]
type = AFMSublatticeSuperexchange
variable = mag2_x
mag_sub = 1
component = 0
[../]
[./afmex2_y]
type = AFMSublatticeSuperexchange
variable = mag2_y
mag_sub = 1
component = 1
[../]
[./afmex2_z]
type = AFMSublatticeSuperexchange
variable = mag2_z
mag_sub = 1
component = 2
[../]
#---------------------------------------#
# #
# AFM sublattice DMI #
# #
#---------------------------------------#
[./afmdmi1_x]
type = AFMSublatticeDMInteraction
variable = mag1_x
mag_sub = 0
component = 0
[../]
[./afmdmi1_y]
type = AFMSublatticeDMInteraction
variable = mag1_y
mag_sub = 0
component = 1
[../]
[./afmdmi1_z]
type = AFMSublatticeDMInteraction
variable = mag1_z
mag_sub = 0
component = 2
[../]
[./afmdmi2_x]
type = AFMSublatticeDMInteraction
variable = mag2_x
mag_sub = 1
component = 0
[../]
[./afmdmi2_y]
type = AFMSublatticeDMInteraction
variable = mag2_y
mag_sub = 1
component = 1
[../]
[./afmdmi2_z]
type = AFMSublatticeDMInteraction
variable = mag2_z
mag_sub = 1
component = 2
[../]
#---------------------------------------#
# #
# Magnetocrystalline anisotropy for #
# the AFM sublattice in easy-plane #
# #
#---------------------------------------#
[./afma1_x]
type = AFMEasyPlaneAnisotropy
variable = mag1_x
mag_sub = 0
component = 0
[../]
[./afma1_y]
type = AFMEasyPlaneAnisotropy
variable = mag1_y
mag_sub = 0
component = 1
[../]
[./afma1_z]
type = AFMEasyPlaneAnisotropy
variable = mag1_z
mag_sub = 0
component = 2
[../]
[./afma2_x]
type = AFMEasyPlaneAnisotropy
variable = mag2_x
mag_sub = 1
component = 0
[../]
[./afma2_y]
type = AFMEasyPlaneAnisotropy
variable = mag2_y
mag_sub = 1
component = 1
[../]
[./afma2_z]
type = AFMEasyPlaneAnisotropy
variable = mag2_z
mag_sub = 1
component = 2
[../]
#---------------------------------------#
# #
# Single-ion anisotropy environment #
# for the AFM sublattice in the #
# degenerate easy-plane #
# #
#---------------------------------------#
[./afmsia1_x]
type = AFMSingleIonCubicSixthAnisotropy
variable = mag1_x
mag_sub = 0
component = 0
[../]
[./afmsia1_y]
type = AFMSingleIonCubicSixthAnisotropy
variable = mag1_y
mag_sub = 0
component = 1
[../]
[./afmsia1_z]
type = AFMSingleIonCubicSixthAnisotropy
variable = mag1_z
mag_sub = 0
component = 2
[../]
[./afmsia2_x]
type = AFMSingleIonCubicSixthAnisotropy
variable = mag2_x
mag_sub = 1
component = 0
[../]
[./afmsia2_y]
type = AFMSingleIonCubicSixthAnisotropy
variable = mag2_y
mag_sub = 1
component = 1
[../]
[./afmsia2_z]
type = AFMSingleIonCubicSixthAnisotropy
variable = mag2_z
mag_sub = 1
component = 2
[../]
#---------------------------------------#
# #
# LLB constraint terms #
# #
#---------------------------------------#
[./llb1_x]
type = LongitudinalLLB
variable = mag1_x
mag_x = mag1_x
mag_y = mag1_y
mag_z = mag1_z
component = 0
[../]
[./llb1_y]
type = LongitudinalLLB
variable = mag1_y
mag_x = mag1_x
mag_y = mag1_y
mag_z = mag1_z
component = 1
[../]
[./llb1_z]
type = LongitudinalLLB
variable = mag1_z
mag_x = mag1_x
mag_y = mag1_y
mag_z = mag1_z
component = 2
[../]
[./llb2_x]
type = LongitudinalLLB
variable = mag2_x
mag_x = mag2_x
mag_y = mag2_y
mag_z = mag2_z
component = 0
[../]
[./llb2_y]
type = LongitudinalLLB
variable = mag2_y
mag_x = mag2_x
mag_y = mag2_y
mag_z = mag2_z
component = 1
[../]
[./llb2_z]
type = LongitudinalLLB
variable = mag2_z
mag_x = mag2_x
mag_y = mag2_y
mag_z = mag2_z
component = 2
[../]
#---------------------------------------#
# #
# Local magnetic exchange #
# #
#---------------------------------------#
[./dllg1_x_exch]
type = ExchangeCartLL
variable = mag1_x
component = 0
mag_x = mag1_x
mag_y = mag1_y
mag_z = mag1_z
[../]
[./dllg1_y_exch]
type = ExchangeCartLL
variable = mag1_y
component = 1
mag_x = mag1_x
mag_y = mag1_y
mag_z = mag1_z
[../]
[./dllg1_z_exch]
type = ExchangeCartLL
variable = mag1_z
component = 2
mag_x = mag1_x
mag_y = mag1_y
mag_z = mag1_z
[../]
[./dllg2_x_exch]
type = ExchangeCartLL
variable = mag2_x
component = 0
mag_x = mag2_x
mag_y = mag2_y
mag_z = mag2_z
[../]
[./dllg2_y_exch]
type = ExchangeCartLL
variable = mag2_y
component = 1
mag_x = mag2_x
mag_y = mag2_y
mag_z = mag2_z
[../]
[./dllg2_z_exch]
type = ExchangeCartLL
variable = mag2_z
component = 2
mag_x = mag2_x
mag_y = mag2_y
mag_z = mag2_z
[../]
#---------------------------------------#
# #=
# Local AFM magnetic exchange #
# (Local-term) #
#---------------------------------------#
[./dllg1afm_x_exch]
type = AFMLocalSublatticeExchangeCartLL
variable = mag1_x
mag_sub = 0
component = 0
[../]
[./dllg1afm_y_exch]
type = AFMLocalSublatticeExchangeCartLL
variable = mag1_y
mag_sub = 0
component = 1
[../]
[./dllg1afm_z_exch]
type = AFMLocalSublatticeExchangeCartLL
variable = mag1_z
mag_sub = 0
component = 2
[../]
[./dllg2afm_x_exch]
type = AFMLocalSublatticeExchangeCartLL
variable = mag2_x
mag_sub = 1
component = 0
[../]
[./dllg2afm_y_exch]
type = AFMLocalSublatticeExchangeCartLL
variable = mag2_y
mag_sub = 1
component = 1
[../]
[./dllg2afm_z_exch]
type = AFMLocalSublatticeExchangeCartLL
variable = mag2_z
mag_sub = 1
component = 2
[../]
[]
[AuxKernels]
[./mag1_mag]
type = VectorMag
variable = mag1_s
vector_x = mag1_x
vector_y = mag1_y
vector_z = mag1_z
execute_on = 'initial timestep_end final'
[../]
[./mag2_mag]
type = VectorMag
variable = mag2_s
vector_x = mag2_x
vector_y = mag2_y
vector_z = mag2_z
execute_on = 'initial timestep_end final'
[../]
[./Neel_Lx]
type = VectorDiffOrSum
variable = Neel_L_x
var1 = mag1_x
var2 = mag2_x
diffOrSum = 0
execute_on = 'initial timestep_end final'
[../]
[./Neel_Ly]
type = VectorDiffOrSum
variable = Neel_L_y
var1 = mag1_y
var2 = mag2_y
diffOrSum = 0
execute_on = 'initial timestep_end final'
[../]
[./Neel_Lz]
type = VectorDiffOrSum
variable = Neel_L_z
var1 = mag1_z
var2 = mag2_z
diffOrSum = 0
execute_on = 'initial timestep_end final'
[../]
[./smallSignalMag_x]
type = VectorDiffOrSum
variable = SSMag_x
var1 = mag1_x
var2 = mag2_x
diffOrSum = 1
execute_on = 'initial timestep_end final'
[../]
[./smallSignalMag_y]
type = VectorDiffOrSum
variable = SSMag_y
var1 = mag1_y
var2 = mag2_y
diffOrSum = 1
execute_on = 'initial timestep_end final'
[../]
[./smallSignalMag_z]
type = VectorDiffOrSum
variable = SSMag_z
var1 = mag1_z
var2 = mag2_z
diffOrSum = 1
execute_on = 'initial timestep_end final'
[../]
[./phc]
type = AngleBetweenTwoVectors
variable = ph
var1x = mag1_x
var1y = mag1_y
var1z = mag1_z
var2x = mag2_x
var2y = mag2_y
var2z = mag2_z
execute_on = 'initial timestep_end final'
[../]
[./th1c]
type = AngleBetweenTwoVectors
variable = th1
var1x = mag1_x
var1y = mag1_y
var1z = mag1_z
var2x = polar_x
var2y = polar_y
var2z = polar_z
execute_on = 'initial timestep_end final'
[../]
[./th2c]
type = AngleBetweenTwoVectors
variable = th2
var1x = mag2_x
var1y = mag2_y
var1z = mag2_z
var2x = polar_x
var2y = polar_y
var2z = polar_z
execute_on = 'initial timestep_end final'
[../]
#---------------------------------------#
# #
# Energy density #
# #
#---------------------------------------#
[./cEdmi]
type = AFMSublatticeDMInteractionEnergyDensity
variable = Edmi
execute_on = 'initial timestep_end final'
energy_scale = -6241.51
[../]
[./cEsupexch]
type = AFMSublatticeSuperexchangeEnergyDensity
variable = Esupexch
execute_on = 'initial timestep_end final'
energy_scale = 6241.51
[../]
[./cEnlexch]
type = AFMExchangeStiffnessEnergyDensity
variable = Enlexch
Neel_L_x = Neel_L_x
Neel_L_y = Neel_L_y
Neel_L_z = Neel_L_z
execute_on = 'initial timestep_end final'
energy_scale = 6241.51
[../]
[./cEepa1]
type = AFMEasyPlaneAnisotropyEnergyDensity
variable = Eepa1
execute_on = 'initial timestep_end final'
mag_x = mag1_x
mag_y = mag1_y
mag_z = mag1_z
energy_scale = 6241.51
[../]
[./cEepa2]
type = AFMEasyPlaneAnisotropyEnergyDensity
variable = Eepa2
execute_on = 'initial timestep_end final'
mag_x = mag2_x
mag_y = mag2_y
mag_z = mag2_z
energy_scale = 6241.51
[../]
[./cEca1]
type = AFMSingleIonCubicSixthAnisotropyEnergyDensity
variable = Eca1
execute_on = 'initial timestep_end final'
mag_x = mag1_x
mag_y = mag1_y
mag_z = mag1_z
energy_scale = 6241.51
[../]
[./cEca2]
type = AFMSingleIonCubicSixthAnisotropyEnergyDensity
variable = Eca2
execute_on = 'initial timestep_end final'
mag_x = mag2_x
mag_y = mag2_y
mag_z = mag2_z
energy_scale = 6241.51
[../]
[./cEdtot]
type = AFMTotalEnergyDensity
variable = Etot
execute_on = 'initial timestep_end final'
Edmi = Edmi
Esupexch = Esupexch
Enlexch = Enlexch
Eepa1 = Eepa1
Eepa2 = Eepa2
Eca1 = Eca1
Eca2 = Eca2
[../]
[]
[BCs]
#---------------------------------------#
# #
# periodic magnetization distribution #
# #
#---------------------------------------#
[./Periodic]
[./x]
auto_direction = 'x'
variable = 'mag1_x mag1_y mag1_z mag2_x mag2_y mag2_z'
[../]
[../]
[]
[Postprocessors]
[./dt]
type = TimestepSize
[../]
#---------------------------------------#
# #
# Average Mk = |m_k| and along #
# other directions #
# #
#---------------------------------------#
[./M1]
type = ElementAverageValue
variable = mag1_s
execute_on = 'initial timestep_end final'
[../]
[./M2]
type = ElementAverageValue
variable = mag2_s
execute_on = 'initial timestep_end final'
[../]
[./<Lx>]
type = ElementAverageValue
variable = Neel_L_x
execute_on = 'initial timestep_end final'
[../]
[./<Ly>]
type = ElementAverageValue
variable = Neel_L_y
execute_on = 'initial timestep_end final'
[../]
[./<Lz>]
type = ElementAverageValue
variable = Neel_L_z
execute_on = 'initial timestep_end final'
[../]
[./<m1x>]
type = ElementAverageValue
variable = mag1_x
execute_on = 'initial timestep_end final'
[../]
[./<m1y>]
type = ElementAverageValue
variable = mag1_y
execute_on = 'initial timestep_end final'
[../]
[./<m1z>]
type = ElementAverageValue
variable = mag1_z
execute_on = 'initial timestep_end final'
[../]
[./<m2x>]
type = ElementAverageValue
variable = mag2_x
execute_on = 'initial timestep_end final'
[../]
[./<m2y>]
type = ElementAverageValue
variable = mag2_y
execute_on = 'initial timestep_end final'
[../]
[./<m2z>]
type = ElementAverageValue
variable = mag2_z
execute_on = 'initial timestep_end final'
[../]
[./<ph>]
type = ElementAverageValue
variable = ph
execute_on = 'initial timestep_end final'
[../]
[./<th1>]
type = ElementAverageValue
variable = th1
execute_on = 'initial timestep_end final'
[../]
[./<th2>]
type = ElementAverageValue
variable = th2
execute_on = 'initial timestep_end final'
[../]
#---------------------------------------#
# #
# Calculate exchange energy of #
# the magnetic body #
# #
#---------------------------------------#
[./FafmSLexch]
type = AFMSublatticeSuperexchangeEnergy
execute_on = 'initial timestep_end final'
mag1_x = mag1_x
mag1_y = mag1_y
mag1_z = mag1_z
mag2_x = mag2_x
mag2_y = mag2_y
mag2_z = mag2_z
energy_scale = 0.001
[../]
[./FafmSLdmi]
type = AFMSublatticeDMInteractionEnergy
execute_on = 'initial timestep_end final'
energy_scale = 0.001
[../]
[./FexchS]
type = AFMExchangeStiffnessEnergy
execute_on = 'initial timestep_end final'
energy_scale = 0.001
Neel_L_x = Neel_L_x
Neel_L_y = Neel_L_y
Neel_L_z = Neel_L_z
[../]
#---------------------------------------#
# #
# Calculate excess energy from missed #
# LLB targets #
# #
#---------------------------------------#
[./Fllb1]
type = MagneticExcessLLBEnergy
mag_x = mag1_x
mag_y = mag1_y
mag_z = mag1_z
execute_on = 'initial timestep_end final'
[../]
[./Fllb2]
type = MagneticExcessLLBEnergy
mag_x = mag2_x
mag_y = mag2_y
mag_z = mag2_z
execute_on = 'initial timestep_end final'
[../]
#---------------------------------------#
# #
# Calculate the anisotropy energy #
# #
#---------------------------------------#
[./Fa1]
type = AFMEasyPlaneAnisotropyEnergy
execute_on = 'initial timestep_end final'
mag_x = mag1_x
mag_y = mag1_y
mag_z = mag1_z
energy_scale = 0.001
[../]
[./Fa2]
type = AFMEasyPlaneAnisotropyEnergy
execute_on = 'initial timestep_end final'
mag_x = mag2_x
mag_y = mag2_y
mag_z = mag2_z
energy_scale = 0.001
[../]
[./Fsia1]
type = AFMSingleIonCubicSixthAnisotropyEnergy
execute_on = 'initial timestep_end final'
mag_x = mag1_x
mag_y = mag1_y
mag_z = mag1_z
energy_scale = 0.001
[../]
[./Fsia2]
type = AFMSingleIonCubicSixthAnisotropyEnergy
execute_on = 'initial timestep_end final'
mag_x = mag2_x
mag_y = mag2_y
mag_z = mag2_z
energy_scale = 0.001
[../]
#---------------------------------------#
# #
# add all the energy contributions #
# and calculate their percent change #
# #
#---------------------------------------#
[./Ftot]
type = LinearCombinationPostprocessor
pp_names = 'FafmSLexch FafmSLdmi Fa1 Fa2 Fsia1 Fsia2 FexchS'
pp_coefs = ' 1.0 1.0 1.0 1.0 1.0 1.0 1.0'
execute_on = 'initial timestep_end final'
[../]
[./FtotLLB]
type = LinearCombinationPostprocessor
pp_names = 'Fllb1 Fllb2'
pp_coefs = ' 1.0 1.0'
execute_on = 'initial timestep_end final'
[../]
[./perc_change]
type = EnergyRatePostprocessor
postprocessor = Ftot
dt = dt
execute_on = 'timestep_end final'
[../]
[./elapsed]
type = PerfGraphData
section_name = "Root" # for profiling the problem
data_type = total
[../]
[]
[UserObjects]
[./kill]
type = Terminator
expression = 'perc_change <= 1.0e-8'
[../]
[]
[Preconditioning]
#---------------------------------------#
# #
# Solver options #
# #
#---------------------------------------#
[./smp]
type = SMP
full = true
petsc_options_iname = ' -ksp_gmres_restart -snes_atol -snes_rtol -ksp_rtol -pc_type '
petsc_options_value = ' 250 1e-8 1e-8 1e-5 bjacobi'
[../]
[]
[Executioner]
type = Transient
solve_type = 'NEWTON'
[./TimeIntegrator]
type = NewmarkBeta
[../]
dtmin = 1e-18
dtmax = 1e-7
[./TimeStepper]
type = IterationAdaptiveDT
optimal_iterations = 25 #usually 10
linear_iteration_ratio = 100
dt = 1e-9
growth_factor = 1.1
[../]
num_steps = 18001
[]
[Outputs]
print_linear_residuals = false
[./out]
type = Exodus
file_base = out_BFO_P111bA111b-P111bA111b_m1
elemental_as_nodal = true
interval = 20
[../]
[./outCSV]
type = CSV
file_base = out_BFO_P111bA111b-P111bA111b_m1
[../]
[]