Ferret-only Syntax

Adaptivity

Adaptivity/Markers

Ferret App
PolarDomainMarkerMark elements for adaptivity based on the supplied upper and lower bounds and the specified variable.
PolarizationNWEMarkerThe the refinement state based on a threshold value compared to the specified variable.

AuxKernels

Ferret App
AFDWallEnergyDensityCalculates the free energy density due to the local gradients in the antiphase tilt vector field
AFMEasyPlaneAnisotropyEnergyDensityCalculates the free energy density due easy-plane (or easy-axis) anisotropy
AFMExchangeStiffnessEnergyDensityCalculates the energy density due to inhomogeneous AFM exchange stiffness.
AFMSingleIonCubicSixthAnisotropyEnergyDensityCalculates the energy density due to corrections of single-ion environment of the sixth order in the spin.
AFMSpinCurrentLLdotCalculates the AFM spin current component corresponding to the cross product of $var element = document.getElementById("moose-equation-e1611df7-3899-40d2-9b13-2c3fb93f148b");katex.render("\\mathbf{L}", element, {displayMode:false,throwOnError:false,macros:{"\\bs":"\\boldsymbol{#1}","\\normal":"\\bs{n}","\\grad":"\\bs{\\nabla}","\\divergence":"\\grad \\cdot","\\norm":"\\left\\lVert#1\\right\\rVert","\\abs":"\\left\\lvert#1\\right\\rvert","\\tr":"\\text{tr}","\\dev":"\\text{dev}","\\sym":"\\text{sym}","\\diff":"\\text{ d}#1","\\activepart":"{\\left< A \\right>}","\\inactivepart":"{\\left}","\\Gc":"{\\mathcal{G}_c}","\\strain":"\\bs{\\varepsilon}","\\stress":"\\bs{\\sigma}","\\macaulay":"\\left<#1\\right>","\\body":"\\Omega","\\bodyboundary":"{\\partial\\body}","\\ep":"{\\varepsilon^p}","\\ep0":"{\\varepsilon_0^p}","\\epdot":"{\\dot{\\varepsilon}}^p","\\epdot0":"{\\dot{\\varepsilon}}_0^p","\\bfa":"\\boldsymbol{a}","\\bfb":"\\boldsymbol{b}","\\bfc":"\\boldsymbol{c}","\\bfd":"\\boldsymbol{d}","\\bfe":"\\boldsymbol{e}","\\bff":"\\boldsymbol{f}","\\bfg":"\\boldsymbol{g}","\\bfh":"\\boldsymbol{h}","\\bfi":"\\boldsymbol{i}","\\bfj":"\\boldsymbol{j}","\\bfk":"\\boldsymbol{k}","\\bfl":"\\boldsymbol{l}","\\bfm":"\\boldsymbol{m}","\\bfn":"\\boldsymbol{n}","\\bfo":"\\boldsymbol{o}","\\bfp":"\\boldsymbol{p}","\\bfq":"\\boldsymbol{q}","\\bfr":"\\boldsymbol{r}","\\bfs":"\\boldsymbol{s}","\\bft":"\\boldsymbol{t}","\\bfu":"\\boldsymbol{u}","\\bfv":"\\boldsymbol{v}","\\bfw":"\\boldsymbol{w}","\\bfx":"\\boldsymbol{x}","\\bfy":"\\boldsymbol{y}","\\bfz":"\\boldsymbol{z}","\\bfA":"\\boldsymbol{A}","\\bfB":"\\boldsymbol{B}","\\bfC":"\\boldsymbol{C}","\\bfD":"\\boldsymbol{D}","\\bfE":"\\boldsymbol{E}","\\bfF":"\\boldsymbol{F}","\\bfG":"\\boldsymbol{G}","\\bfH":"\\boldsymbol{H}","\\bfI":"\\boldsymbol{I}","\\bfJ":"\\boldsymbol{J}","\\bfK":"\\boldsymbol{K}","\\bfL":"\\boldsymbol{L}","\\bfM":"\\boldsymbol{M}","\\bfN":"\\boldsymbol{N}","\\bfO":"\\boldsymbol{O}","\\bfP":"\\boldsymbol{P}","\\bfQ":"\\boldsymbol{Q}","\\bfR":"\\boldsymbol{R}","\\bfS":"\\boldsymbol{S}","\\bfT":"\\boldsymbol{T}","\\bfU":"\\boldsymbol{U}","\\bfV":"\\boldsymbol{V}","\\bfW":"\\boldsymbol{W}","\\bfX":"\\boldsymbol{X}","\\bfY":"\\boldsymbol{Y}","\\bfZ":"\\boldsymbol{Z}"}});$ with d $var element = document.getElementById("moose-equation-5be9d41a-bcac-4ad1-96f8-c0a2a5724120");katex.render("\\mathbf{L}", element, {displayMode:false,throwOnError:false,macros:{"\\bs":"\\boldsymbol{#1}","\\normal":"\\bs{n}","\\grad":"\\bs{\\nabla}","\\divergence":"\\grad \\cdot","\\norm":"\\left\\lVert#1\\right\\rVert","\\abs":"\\left\\lvert#1\\right\\rvert","\\tr":"\\text{tr}","\\dev":"\\text{dev}","\\sym":"\\text{sym}","\\diff":"\\text{ d}#1","\\activepart":"{\\left< A \\right>}","\\inactivepart":"{\\left}","\\Gc":"{\\mathcal{G}_c}","\\strain":"\\bs{\\varepsilon}","\\stress":"\\bs{\\sigma}","\\macaulay":"\\left<#1\\right>","\\body":"\\Omega","\\bodyboundary":"{\\partial\\body}","\\ep":"{\\varepsilon^p}","\\ep0":"{\\varepsilon_0^p}","\\epdot":"{\\dot{\\varepsilon}}^p","\\epdot0":"{\\dot{\\varepsilon}}_0^p","\\bfa":"\\boldsymbol{a}","\\bfb":"\\boldsymbol{b}","\\bfc":"\\boldsymbol{c}","\\bfd":"\\boldsymbol{d}","\\bfe":"\\boldsymbol{e}","\\bff":"\\boldsymbol{f}","\\bfg":"\\boldsymbol{g}","\\bfh":"\\boldsymbol{h}","\\bfi":"\\boldsymbol{i}","\\bfj":"\\boldsymbol{j}","\\bfk":"\\boldsymbol{k}","\\bfl":"\\boldsymbol{l}","\\bfm":"\\boldsymbol{m}","\\bfn":"\\boldsymbol{n}","\\bfo":"\\boldsymbol{o}","\\bfp":"\\boldsymbol{p}","\\bfq":"\\boldsymbol{q}","\\bfr":"\\boldsymbol{r}","\\bfs":"\\boldsymbol{s}","\\bft":"\\boldsymbol{t}","\\bfu":"\\boldsymbol{u}","\\bfv":"\\boldsymbol{v}","\\bfw":"\\boldsymbol{w}","\\bfx":"\\boldsymbol{x}","\\bfy":"\\boldsymbol{y}","\\bfz":"\\boldsymbol{z}","\\bfA":"\\boldsymbol{A}","\\bfB":"\\boldsymbol{B}","\\bfC":"\\boldsymbol{C}","\\bfD":"\\boldsymbol{D}","\\bfE":"\\boldsymbol{E}","\\bfF":"\\boldsymbol{F}","\\bfG":"\\boldsymbol{G}","\\bfH":"\\boldsymbol{H}","\\bfI":"\\boldsymbol{I}","\\bfJ":"\\boldsymbol{J}","\\bfK":"\\boldsymbol{K}","\\bfL":"\\boldsymbol{L}","\\bfM":"\\boldsymbol{M}","\\bfN":"\\boldsymbol{N}","\\bfO":"\\boldsymbol{O}","\\bfP":"\\boldsymbol{P}","\\bfQ":"\\boldsymbol{Q}","\\bfR":"\\boldsymbol{R}","\\bfS":"\\boldsymbol{S}","\\bfT":"\\boldsymbol{T}","\\bfU":"\\boldsymbol{U}","\\bfV":"\\boldsymbol{V}","\\bfW":"\\boldsymbol{W}","\\bfX":"\\boldsymbol{X}","\\bfY":"\\boldsymbol{Y}","\\bfZ":"\\boldsymbol{Z}"}});$ /dt.
AFMSpinCurrentLMdotCalculates the AFM spin current component corresponding to the cross product of L with dm/dt
AFMSpinCurrentMLdotCalculates the AFM spin current component corresponding to the cross product of m with dL/dt
AFMSpinCurrentMMdotCalculates the AFM spin current component corresponding to the cross product of M with dM/dt
AFMSublatticeDMInteractionEnergyDensityCalculates the DM interaction free energy density (coupling AFD and magnetic ordering).
AFMSublatticeSuperexchangeEnergyDensityCalculates the free energy density corresponding to the AFM superexchange coupling.
AFMTotalEnergyDensityCalculates the sum of energy densities
AngleBetweenTwoVectorsUseful calculation of the angle between two vectors
BirefringenceComputes the difference between refractive indices (birefringence).
BulkEnergyDensityCalculates the free energy density from the bulk energy (up to eighth order)
ChangeInRefractiveIndexCalculates the changes to local refractive index.
ChangeInRefractiveIndexElectroCalculates the changes to local refractive index due to the electric field.
ChangeInRefractiveIndexWithGCoeffPolarCalculates the changes to local refractive index due to the polar-optic effect.
ChangeInRefractiveIndexWithPolarCalculates the changes to local refractive index due to the polar-optic effect.
DemagFieldAuxConverts magnetostatic potential to the vector demagnetization field.
DemagFieldAuxPMLConverts magnetostatic potential to the vector demagnetization field.
DivPCalculates div P
ElasticEnergyDensityComputes the free energy density due to the local elastic interaction
ElastoChangeInRefractiveIndexCalculates the changes to local refractive index due to the elastooptic effect.
ElecFieldAuxConverts electrostatic potential to the vector electric field.
ElectricFluxTensorElectric flux generated
ExchangeFieldAuxComputes the exchange field
FourierHeatCalculates a residual contribution due to k*deltaT = 0
HarmonicFieldAuxCalculates a harmonic field
HeatFluxTensorheat flux generated
HoleDensityAux
IsotropicTEMaterialElecFluxNeeds documentation
IsotropicTEMaterialHeatFluxElectric potential generated due to heat flux
MagneticExchangeEnergyDensityCart
PolarOpticChangeInRefractiveIndexCalculates the changes to local refractive index due to the polar-optic effect.
PontryaginDensity
QuasistaticFieldAuxConverts potential to the vector field.
RefractiveIndex
ReworkedRefractiveIndex
RotoBulkEnergyDensity
RotoPolarCouplingEnergyDensity
RotostrictiveCouplingEnergyDensity
SDBulkEnergyDensityCalculates the free energy density dependent on the local polarization field.
SurfaceChargePCalculates P*n
ThermoelectricZTAuxCalculates thermoelectric figure of merit
TimeDependentFieldAuxAdds time-dependence to a spatial-varying field
VectorDiffOrSumCalculates the difference or sum of a variable
WallEnergyDensity

AuxVariables

BCs

Ferret

Ferret App
CubicParentFEPhaseField

Ferret/CubicParentFEPhaseField

Ferret App
CubicParentFEPhaseFieldActionSet up a cubic-parent-phase ferroelectric problem: the polarization variables, the Landau bulk and gradient kernels, the optional electrostatic and electrostrictive couplings, the constant material properties and the free energy postprocessors. The mechanics themselves are left to the SolidMechanics QuasiStatic physics, which this action is designed to be used alongside; couple the two by listing 'eigenstrain_name' in its 'eigenstrain_names'.

Functions

Ferret App
S3DFourierNoiseGenerate noise from a fourier series
SDFourierNoiseGenerate noise from a fourier series

ICs

Kernels

Ferret App
AFDWall2EnergyDerivative
AFDWallEnergyDerivative
AFMEasyPlaneAnisotropyCalculates a residual contribution for the magnetic anisotropy energy.
AFMEasyPlaneAnisotropySCCalculates a residual contribution for the magnetic anisotropy energy.
AFMHomogeneousSublatticeExchangeCalculates a residual contribution for the sublattice exchange in an antiferromagnet
AFMInteractionCartLLCalculates a residual contribution for the sublattice exchange in an antiferromagnet
AFMInteractionCartLLHConstCalculates a residual contribution for the sublattice exchange in an antiferromagnet
AFMLocalSublatticeExchangeCartLLCalculates a residual contribution for the magnetic exchange energy.
AFMSingleIonCubicSixthAnisotropyCalculates a residual contribution for the magnetic anisotropy energy.
AFMSingleIonCubicSixthAnisotropySCCalculates a residual contribution for the magnetic anisotropy energy.
AFMSublatticeAnisotropyCalculates a residual contribution for the magnetic anisotropy energy.
AFMSublatticeDMInteractionCalculates a residual contribution for the DMI interaction on an AFM sublattice that supports such a thing
AFMSublatticeDMInteractionSCCalculates a residual contribution for the DMI interaction on an AFM sublattice that supports such a thing
AFMSublatticeSuperexchangeCalculates a residual contribution for the sublattice exchange in an antiferromagnet
AnisotropicElectrostaticsCalculates a residual contribution due to nabla squared Phi = 0
AnisotropyCartLLCalculates a residual contribution for the magnetic anisotropy energy.
BulkEnergyDerivativeEighthCalculates the residual for the local free energy which is an eighth order expansion in the polarization.
BulkEnergyDerivativeSixthCalculates the residual for the local free energy which is an sixth order expansion in the polarization.
BulkEnergyDerivativeSixthCoupledTCalculates the residual for the local free energy which is an sixth order expansion in the polarization coupled to the thermal field through the first Landau coefficient.
ConstFieldThis is just a test kernel. It is a residual contribution due to a constant electric field term along the z-direction of polarization
ConversePiezoelectricStrainCalculates the residual for additional piezoelectric strain arising in the conditions for mechanical equilibrium.
CorrectedElectrostrictiveCouplingPolarDerivativeCalculates a residual contribution due to the variation w.r.t polarization of the electrostrictive coupling energy. Note: for cubic parent phase only.
CubicAnisotropyCartLLGLLG torque from cubic magnetocrystalline anisotropy, F = Kc1 (mx^{2 my}2 + my^{2 mz}2 + mz^{2 mx}2), single lattice.
CubicParentElasticADerivativeCalculates a residual contribution due to the variation w.r.t antiphase tilt of the rotostrictive coupling energy. Note: for cubic parent phase only.
CubicParentElasticPDerivativeCalculates a residual contribution due to the variation w.r.t polarization of the electrostrictive coupling energy. Note: for cubic parent phase only.
DivCurrentVCalculates a residual contribution due to modified ohm's law
ElectrostaticsCalculates a residual contribution due to div*Phi = 0
ElectrostrictiveCouplingDispDerivativeCalculates a residual contribution due to the spontaneous ferroelectric strain in the condition for mechanical equilibrium.
ElectrostrictiveCouplingPolarDerivativeCalculates a residual contribution due to the variation w.r.t polarization of the electrostrictive coupling energy. Note: for cubic parent phase only.
ExchangeCartLLCalculates a residual contribution due to the magnetic exchange energy.
FluctuationKernelCalculates a residual contribution introducing fluctuations useful in quasi-static hysteretic switching.
HeatFlowElectricTCalculates a residual contribution due to modified ohm's law
InPlaneSusceptibilityDerivativeCalculates the residual for the local free energy which is an eighth order expansion in the polarization.
InteractionCartLLCalculates a residual contribution - M $var element = document.getElementById("moose-equation-79b023de-af2d-4afb-b626-0618822d58e4");katex.render("*", element, {displayMode:false,throwOnError:false,macros:{"\\bs":"\\boldsymbol{#1}","\\normal":"\\bs{n}","\\grad":"\\bs{\\nabla}","\\divergence":"\\grad \\cdot","\\norm":"\\left\\lVert#1\\right\\rVert","\\abs":"\\left\\lvert#1\\right\\rvert","\\tr":"\\text{tr}","\\dev":"\\text{dev}","\\sym":"\\text{sym}","\\diff":"\\text{ d}#1","\\activepart":"{\\left< A \\right>}","\\inactivepart":"{\\left}","\\Gc":"{\\mathcal{G}_c}","\\strain":"\\bs{\\varepsilon}","\\stress":"\\bs{\\sigma}","\\macaulay":"\\left<#1\\right>","\\body":"\\Omega","\\bodyboundary":"{\\partial\\body}","\\ep":"{\\varepsilon^p}","\\ep0":"{\\varepsilon_0^p}","\\epdot":"{\\dot{\\varepsilon}}^p","\\epdot0":"{\\dot{\\varepsilon}}_0^p","\\bfa":"\\boldsymbol{a}","\\bfb":"\\boldsymbol{b}","\\bfc":"\\boldsymbol{c}","\\bfd":"\\boldsymbol{d}","\\bfe":"\\boldsymbol{e}","\\bff":"\\boldsymbol{f}","\\bfg":"\\boldsymbol{g}","\\bfh":"\\boldsymbol{h}","\\bfi":"\\boldsymbol{i}","\\bfj":"\\boldsymbol{j}","\\bfk":"\\boldsymbol{k}","\\bfl":"\\boldsymbol{l}","\\bfm":"\\boldsymbol{m}","\\bfn":"\\boldsymbol{n}","\\bfo":"\\boldsymbol{o}","\\bfp":"\\boldsymbol{p}","\\bfq":"\\boldsymbol{q}","\\bfr":"\\boldsymbol{r}","\\bfs":"\\boldsymbol{s}","\\bft":"\\boldsymbol{t}","\\bfu":"\\boldsymbol{u}","\\bfv":"\\boldsymbol{v}","\\bfw":"\\boldsymbol{w}","\\bfx":"\\boldsymbol{x}","\\bfy":"\\boldsymbol{y}","\\bfz":"\\boldsymbol{z}","\\bfA":"\\boldsymbol{A}","\\bfB":"\\boldsymbol{B}","\\bfC":"\\boldsymbol{C}","\\bfD":"\\boldsymbol{D}","\\bfE":"\\boldsymbol{E}","\\bfF":"\\boldsymbol{F}","\\bfG":"\\boldsymbol{G}","\\bfH":"\\boldsymbol{H}","\\bfI":"\\boldsymbol{I}","\\bfJ":"\\boldsymbol{J}","\\bfK":"\\boldsymbol{K}","\\bfL":"\\boldsymbol{L}","\\bfM":"\\boldsymbol{M}","\\bfN":"\\boldsymbol{N}","\\bfO":"\\boldsymbol{O}","\\bfP":"\\boldsymbol{P}","\\bfQ":"\\boldsymbol{Q}","\\bfR":"\\boldsymbol{R}","\\bfS":"\\boldsymbol{S}","\\bfT":"\\boldsymbol{T}","\\bfU":"\\boldsymbol{U}","\\bfV":"\\boldsymbol{V}","\\bfW":"\\boldsymbol{W}","\\bfX":"\\boldsymbol{X}","\\bfY":"\\boldsymbol{Y}","\\bfZ":"\\boldsymbol{Z}"}});$ H in the total energy, assuming H = - div * potential.
LocalConservedLangevinNoiseSource term for noise from a ConservedNoise userobject
LocalLangevinNoiseSource term for non-conserved Langevin noise
LongitudinalLLBCalculates a residual contribution for the magnetic anisotropy energy.
MagHStrongCartCalculates a residual contribution for bound magnetic charge (div M)
MagHStrongSublatticesCartCalculates a residual contribution for bound magnetic charge (div M1 + div M2)
MagneticPMLCartCalculates a residual contribution to Laplacian in a stretched region
MagnetostrictiveCouplingCubicHeffCalculates a residual contribution due to the magnetoelectric effective field. Note for cubic magnets only.
MagnetostrictiveCouplingDispDerivativeCalculates a residual contribution due to the differentiation w.r.t spartial coordinates of the magnetoelastic self-strain in the condition for mechanical equilibrium. Note for cubic magnets only.
MasterAnisotropyCartLLGCalculates a residual contribution for the magnetic anisotropy energy.
MasterExchangeCartLLGCalculates a residual contribution due to the magnetic exchange energy.
MasterInteractionCartLLGCalculates the Rij contribution (due to energy -M*H), assuming H = - div*Phi.
MasterInteractionCartLLGHConstCalculates a residual contribution - M $var element = document.getElementById("moose-equation-a2c5e4de-b92c-4346-88dd-87341b71b320");katex.render("*", element, {displayMode:false,throwOnError:false,macros:{"\\bs":"\\boldsymbol{#1}","\\normal":"\\bs{n}","\\grad":"\\bs{\\nabla}","\\divergence":"\\grad \\cdot","\\norm":"\\left\\lVert#1\\right\\rVert","\\abs":"\\left\\lvert#1\\right\\rvert","\\tr":"\\text{tr}","\\dev":"\\text{dev}","\\sym":"\\text{sym}","\\diff":"\\text{ d}#1","\\activepart":"{\\left< A \\right>}","\\inactivepart":"{\\left}","\\Gc":"{\\mathcal{G}_c}","\\strain":"\\bs{\\varepsilon}","\\stress":"\\bs{\\sigma}","\\macaulay":"\\left<#1\\right>","\\body":"\\Omega","\\bodyboundary":"{\\partial\\body}","\\ep":"{\\varepsilon^p}","\\ep0":"{\\varepsilon_0^p}","\\epdot":"{\\dot{\\varepsilon}}^p","\\epdot0":"{\\dot{\\varepsilon}}_0^p","\\bfa":"\\boldsymbol{a}","\\bfb":"\\boldsymbol{b}","\\bfc":"\\boldsymbol{c}","\\bfd":"\\boldsymbol{d}","\\bfe":"\\boldsymbol{e}","\\bff":"\\boldsymbol{f}","\\bfg":"\\boldsymbol{g}","\\bfh":"\\boldsymbol{h}","\\bfi":"\\boldsymbol{i}","\\bfj":"\\boldsymbol{j}","\\bfk":"\\boldsymbol{k}","\\bfl":"\\boldsymbol{l}","\\bfm":"\\boldsymbol{m}","\\bfn":"\\boldsymbol{n}","\\bfo":"\\boldsymbol{o}","\\bfp":"\\boldsymbol{p}","\\bfq":"\\boldsymbol{q}","\\bfr":"\\boldsymbol{r}","\\bfs":"\\boldsymbol{s}","\\bft":"\\boldsymbol{t}","\\bfu":"\\boldsymbol{u}","\\bfv":"\\boldsymbol{v}","\\bfw":"\\boldsymbol{w}","\\bfx":"\\boldsymbol{x}","\\bfy":"\\boldsymbol{y}","\\bfz":"\\boldsymbol{z}","\\bfA":"\\boldsymbol{A}","\\bfB":"\\boldsymbol{B}","\\bfC":"\\boldsymbol{C}","\\bfD":"\\boldsymbol{D}","\\bfE":"\\boldsymbol{E}","\\bfF":"\\boldsymbol{F}","\\bfG":"\\boldsymbol{G}","\\bfH":"\\boldsymbol{H}","\\bfI":"\\boldsymbol{I}","\\bfJ":"\\boldsymbol{J}","\\bfK":"\\boldsymbol{K}","\\bfL":"\\boldsymbol{L}","\\bfM":"\\boldsymbol{M}","\\bfN":"\\boldsymbol{N}","\\bfO":"\\boldsymbol{O}","\\bfP":"\\boldsymbol{P}","\\bfQ":"\\boldsymbol{Q}","\\bfR":"\\boldsymbol{R}","\\bfS":"\\boldsymbol{S}","\\bfT":"\\boldsymbol{T}","\\bfU":"\\boldsymbol{U}","\\bfV":"\\boldsymbol{V}","\\bfW":"\\boldsymbol{W}","\\bfX":"\\boldsymbol{X}","\\bfY":"\\boldsymbol{Y}","\\bfZ":"\\boldsymbol{Z}"}});$ H in the total energy, assuming H = - div * potential.
MasterLongitudinalLLBCalculates a residual contribution for the magnetic anisotropy energy.
PiezoelectricStrainChargeCalculates a residual contribution due to a charge arising via piezoelectric coupling in the Poisson equation.
PolarElectricEStrongCalculates a residual contribution due to divP (to be used with the electrostatics (Laplace) kernel).
PolarElectricPStrongCalculates a residual contribution due to -P $var element = document.getElementById("moose-equation-3c234718-7597-4541-aafd-eb0453caa17a");katex.render("*", element, {displayMode:false,throwOnError:false,macros:{"\\bs":"\\boldsymbol{#1}","\\normal":"\\bs{n}","\\grad":"\\bs{\\nabla}","\\divergence":"\\grad \\cdot","\\norm":"\\left\\lVert#1\\right\\rVert","\\abs":"\\left\\lvert#1\\right\\rvert","\\tr":"\\text{tr}","\\dev":"\\text{dev}","\\sym":"\\text{sym}","\\diff":"\\text{ d}#1","\\activepart":"{\\left< A \\right>}","\\inactivepart":"{\\left}","\\Gc":"{\\mathcal{G}_c}","\\strain":"\\bs{\\varepsilon}","\\stress":"\\bs{\\sigma}","\\macaulay":"\\left<#1\\right>","\\body":"\\Omega","\\bodyboundary":"{\\partial\\body}","\\ep":"{\\varepsilon^p}","\\ep0":"{\\varepsilon_0^p}","\\epdot":"{\\dot{\\varepsilon}}^p","\\epdot0":"{\\dot{\\varepsilon}}_0^p","\\bfa":"\\boldsymbol{a}","\\bfb":"\\boldsymbol{b}","\\bfc":"\\boldsymbol{c}","\\bfd":"\\boldsymbol{d}","\\bfe":"\\boldsymbol{e}","\\bff":"\\boldsymbol{f}","\\bfg":"\\boldsymbol{g}","\\bfh":"\\boldsymbol{h}","\\bfi":"\\boldsymbol{i}","\\bfj":"\\boldsymbol{j}","\\bfk":"\\boldsymbol{k}","\\bfl":"\\boldsymbol{l}","\\bfm":"\\boldsymbol{m}","\\bfn":"\\boldsymbol{n}","\\bfo":"\\boldsymbol{o}","\\bfp":"\\boldsymbol{p}","\\bfq":"\\boldsymbol{q}","\\bfr":"\\boldsymbol{r}","\\bfs":"\\boldsymbol{s}","\\bft":"\\boldsymbol{t}","\\bfu":"\\boldsymbol{u}","\\bfv":"\\boldsymbol{v}","\\bfw":"\\boldsymbol{w}","\\bfx":"\\boldsymbol{x}","\\bfy":"\\boldsymbol{y}","\\bfz":"\\boldsymbol{z}","\\bfA":"\\boldsymbol{A}","\\bfB":"\\boldsymbol{B}","\\bfC":"\\boldsymbol{C}","\\bfD":"\\boldsymbol{D}","\\bfE":"\\boldsymbol{E}","\\bfF":"\\boldsymbol{F}","\\bfG":"\\boldsymbol{G}","\\bfH":"\\boldsymbol{H}","\\bfI":"\\boldsymbol{I}","\\bfJ":"\\boldsymbol{J}","\\bfK":"\\boldsymbol{K}","\\bfL":"\\boldsymbol{L}","\\bfM":"\\boldsymbol{M}","\\bfN":"\\boldsymbol{N}","\\bfO":"\\boldsymbol{O}","\\bfP":"\\boldsymbol{P}","\\bfQ":"\\boldsymbol{Q}","\\bfR":"\\boldsymbol{R}","\\bfS":"\\boldsymbol{S}","\\bfT":"\\boldsymbol{T}","\\bfU":"\\boldsymbol{U}","\\bfV":"\\boldsymbol{V}","\\bfW":"\\boldsymbol{W}","\\bfX":"\\boldsymbol{X}","\\bfY":"\\boldsymbol{Y}","\\bfZ":"\\boldsymbol{Z}"}});$ E term in the total energy.
PolarElectricPStrongEConstCalculates a residual contribution due to -P $var element = document.getElementById("moose-equation-684dcf30-3329-41f2-be51-01ec5f6ad115");katex.render("*", element, {displayMode:false,throwOnError:false,macros:{"\\bs":"\\boldsymbol{#1}","\\normal":"\\bs{n}","\\grad":"\\bs{\\nabla}","\\divergence":"\\grad \\cdot","\\norm":"\\left\\lVert#1\\right\\rVert","\\abs":"\\left\\lvert#1\\right\\rvert","\\tr":"\\text{tr}","\\dev":"\\text{dev}","\\sym":"\\text{sym}","\\diff":"\\text{ d}#1","\\activepart":"{\\left< A \\right>}","\\inactivepart":"{\\left}","\\Gc":"{\\mathcal{G}_c}","\\strain":"\\bs{\\varepsilon}","\\stress":"\\bs{\\sigma}","\\macaulay":"\\left<#1\\right>","\\body":"\\Omega","\\bodyboundary":"{\\partial\\body}","\\ep":"{\\varepsilon^p}","\\ep0":"{\\varepsilon_0^p}","\\epdot":"{\\dot{\\varepsilon}}^p","\\epdot0":"{\\dot{\\varepsilon}}_0^p","\\bfa":"\\boldsymbol{a}","\\bfb":"\\boldsymbol{b}","\\bfc":"\\boldsymbol{c}","\\bfd":"\\boldsymbol{d}","\\bfe":"\\boldsymbol{e}","\\bff":"\\boldsymbol{f}","\\bfg":"\\boldsymbol{g}","\\bfh":"\\boldsymbol{h}","\\bfi":"\\boldsymbol{i}","\\bfj":"\\boldsymbol{j}","\\bfk":"\\boldsymbol{k}","\\bfl":"\\boldsymbol{l}","\\bfm":"\\boldsymbol{m}","\\bfn":"\\boldsymbol{n}","\\bfo":"\\boldsymbol{o}","\\bfp":"\\boldsymbol{p}","\\bfq":"\\boldsymbol{q}","\\bfr":"\\boldsymbol{r}","\\bfs":"\\boldsymbol{s}","\\bft":"\\boldsymbol{t}","\\bfu":"\\boldsymbol{u}","\\bfv":"\\boldsymbol{v}","\\bfw":"\\boldsymbol{w}","\\bfx":"\\boldsymbol{x}","\\bfy":"\\boldsymbol{y}","\\bfz":"\\boldsymbol{z}","\\bfA":"\\boldsymbol{A}","\\bfB":"\\boldsymbol{B}","\\bfC":"\\boldsymbol{C}","\\bfD":"\\boldsymbol{D}","\\bfE":"\\boldsymbol{E}","\\bfF":"\\boldsymbol{F}","\\bfG":"\\boldsymbol{G}","\\bfH":"\\boldsymbol{H}","\\bfI":"\\boldsymbol{I}","\\bfJ":"\\boldsymbol{J}","\\bfK":"\\boldsymbol{K}","\\bfL":"\\boldsymbol{L}","\\bfM":"\\boldsymbol{M}","\\bfN":"\\boldsymbol{N}","\\bfO":"\\boldsymbol{O}","\\bfP":"\\boldsymbol{P}","\\bfQ":"\\boldsymbol{Q}","\\bfR":"\\boldsymbol{R}","\\bfS":"\\boldsymbol{S}","\\bfT":"\\boldsymbol{T}","\\bfU":"\\boldsymbol{U}","\\bfV":"\\boldsymbol{V}","\\bfW":"\\boldsymbol{W}","\\bfX":"\\boldsymbol{X}","\\bfY":"\\boldsymbol{Y}","\\bfZ":"\\boldsymbol{Z}"}});$ E term in the total energy.
RotatedBulkEnergyDerivativeSixthCalculates the residual for the local free energy which is an sixth order expansion in the polarization.
RotoBulkEnergyDerivativeEighthAlt
RotoPolarCoupledEnergyDistortDerivativeAlt
RotoPolarCoupledEnergyPolarDerivativeAlt
RotostrictiveCouplingDispDerivative
RotostrictiveCouplingDistortDerivative
SecondTimeDerivativeScaled
SeebeckEffectCalculates a contribution due to nabla.j = 0
TensorDivCurrentVCalculates a residual contribution due to modified ohm's law
TensorHeatFlowElectricTCalculates a residual contribution due to modified ohm's law
ThermalDiffusionCalculates a residual contribution due to ∇(k∇*T) = 0
TimeDerivativeScaled
UniaxialAFMSublatticeCalculates a residual contribution for an uniaxial AFM sublattice
Wall2EnergyDerivativeCalculates a residual contribution due to the variation w.r.t polarization of the gradient energy. This Kernel should be used in conjunction with WallEnergyDerivative!
WallEnergyDerivativeCalculates a residual contribution due to the variation w.r.t polarization of the gradient energy. This Kernel should be used in conjunction with Wall2EnergyDerivative!

Materials

Ferret App
ADThermoelectricMaterialGeneral-purpose material model for thermoelectrics
ComputeCubicParentElectrostrictiveStrainCompute the spontaneous polar contribution to the strain.
ComputeDeltaIndicatrixCompute the adjustments to the indicatrix (beta tensor).
ComputeDeltaIndicatrixElectroCompute the adjustments to the indicatrix (beta tensor).
ComputeElastoopticTensorCompute a photostrictive tensor.
ComputeElectricalConductivityTDepTensorStore a temperature dependent electrical conductivity tensor.
ComputeElectricalConductivityTensorStore an electric conductivity tensor
ComputeElectroopticTensorCompute an electrooptic tensor.
ComputeElectrostrictiveTensorCompute an electrostrictive tensor.
ComputeFerroelectricStrainCompute the spontaneous polar contribution to the strain.
ComputeGCoeffTensorCompute a polar-optic (g) tensor.
ComputeIndicatrixCompute the impermeability tensor, or indicatrix.
ComputePiezoTensorCompute the converse piezoelectric tensor.
ComputePiezostrictiveTensorCompute a piezostrictive tensor.
ComputePolarOpticGCoeffTensorCompute the adjustments to the indicatrix due to the polar-optic effect with gijkl coefficients.
ComputePolarOpticTensorCompute the adjustments to the indicatrix (beta tensor) due to the polar-optic effect.
ComputeSeebeckTDepTensorCompute a Seebeck tensor.
ComputeSeebeckTensorCompute a Seebeck tensor.
ComputeSpontaneousRotostrictiveStrainCompute the rotostrictive contributuon to the spontaneous strain.
ComputeThermalConductivityTDepTensorCompute a ThermalConductivity tensor.
ComputeThermalConductivityTensorCompute a ThermalConductivity tensor.
ThermoelectricMaterialGeneral-purpose material model for thermoelectrics

Postprocessors

Ferret App
AFDWallEnergyCalculates an integral over the computational volume of the free energy density due to afd vector field gradientscorresponding to gradients in the AFD field.
AFMEasyPlaneAnisotropyEnergy
AFMExchangeStiffnessEnergyCalculates an integral over the DM interaction free energy density (coupling AFD and magnetic ordering).
AFMHomogeneousSublatticeExchangeEnergyCalculates an integral over the DM interaction free energy density (coupling AFD and magnetic ordering).
AFMSingleIonAnisotropyAltEnergyCalculates an integral over the DM interaction free energy density (coupling AFD and magnetic ordering).
AFMSingleIonAnisotropyEnergyCalculates an integral over the DM interaction free energy density (coupling AFD and magnetic ordering).
AFMSingleIonCubicAnisotropyEnergyCalculates an integral over the DM interaction free energy density (coupling AFD and magnetic ordering).
AFMSingleIonCubicSixthAnisotropyEnergyCalculates an integral over the DM interaction free energy density (coupling AFD and magnetic ordering).
AFMSublatticeAnisotropyAltEnergy
AFMSublatticeAnisotropyEnergy
AFMSublatticeDMIEnergyCalculates an integral over the DM interaction free energy density (coupling AFD and magnetic ordering).
AFMSublatticeDMInteractionEnergyCalculates an integral over the DM interaction free energy density (coupling AFD and magnetic ordering).
AFMSublatticeSuperexchangeEnergyCalculates an integral over the DM interaction free energy density (coupling AFD and magnetic ordering).
BulkEnergyCalculates an integral over the local sixth order energy density.
BulkEnergyCoupledTCalculates an integral over the sixth order free energy density of local polarization coupled to temperature.
BulkEnergyEighthCalculates an integral whose integrand is the eighth order expansion of the polarization.
CorrectedElectrostrictiveCouplingEnergyCalculates a volume integral over the electrostrictive coupling energy density.
CubicParentElasticAEnergyCalculates a volume integral over the rotostrictive coupling energy density.
CubicParentElasticEnergyCalculates a volume integral over the electrostrictive coupling energy density.
DepolarizationEnergyCalculates an integral over a fictious depolarization field energy density
DomainVariantPopulationCalculates the fraction of volume of a given domain population (only works in tetragonal phase at the moment)
ElasticEnergyCalculates an integral over the elastic energy density. Note this file also exists in tensor mechanics.
ElectrostaticEnergyCalculates an integral over the P $var element = document.getElementById("moose-equation-fdf711dd-429c-4571-9be6-5b340aaf932b");katex.render("*", element, {displayMode:false,throwOnError:false,macros:{"\\bs":"\\boldsymbol{#1}","\\normal":"\\bs{n}","\\grad":"\\bs{\\nabla}","\\divergence":"\\grad \\cdot","\\norm":"\\left\\lVert#1\\right\\rVert","\\abs":"\\left\\lvert#1\\right\\rvert","\\tr":"\\text{tr}","\\dev":"\\text{dev}","\\sym":"\\text{sym}","\\diff":"\\text{ d}#1","\\activepart":"{\\left< A \\right>}","\\inactivepart":"{\\left}","\\Gc":"{\\mathcal{G}_c}","\\strain":"\\bs{\\varepsilon}","\\stress":"\\bs{\\sigma}","\\macaulay":"\\left<#1\\right>","\\body":"\\Omega","\\bodyboundary":"{\\partial\\body}","\\ep":"{\\varepsilon^p}","\\ep0":"{\\varepsilon_0^p}","\\epdot":"{\\dot{\\varepsilon}}^p","\\epdot0":"{\\dot{\\varepsilon}}_0^p","\\bfa":"\\boldsymbol{a}","\\bfb":"\\boldsymbol{b}","\\bfc":"\\boldsymbol{c}","\\bfd":"\\boldsymbol{d}","\\bfe":"\\boldsymbol{e}","\\bff":"\\boldsymbol{f}","\\bfg":"\\boldsymbol{g}","\\bfh":"\\boldsymbol{h}","\\bfi":"\\boldsymbol{i}","\\bfj":"\\boldsymbol{j}","\\bfk":"\\boldsymbol{k}","\\bfl":"\\boldsymbol{l}","\\bfm":"\\boldsymbol{m}","\\bfn":"\\boldsymbol{n}","\\bfo":"\\boldsymbol{o}","\\bfp":"\\boldsymbol{p}","\\bfq":"\\boldsymbol{q}","\\bfr":"\\boldsymbol{r}","\\bfs":"\\boldsymbol{s}","\\bft":"\\boldsymbol{t}","\\bfu":"\\boldsymbol{u}","\\bfv":"\\boldsymbol{v}","\\bfw":"\\boldsymbol{w}","\\bfx":"\\boldsymbol{x}","\\bfy":"\\boldsymbol{y}","\\bfz":"\\boldsymbol{z}","\\bfA":"\\boldsymbol{A}","\\bfB":"\\boldsymbol{B}","\\bfC":"\\boldsymbol{C}","\\bfD":"\\boldsymbol{D}","\\bfE":"\\boldsymbol{E}","\\bfF":"\\boldsymbol{F}","\\bfG":"\\boldsymbol{G}","\\bfH":"\\boldsymbol{H}","\\bfI":"\\boldsymbol{I}","\\bfJ":"\\boldsymbol{J}","\\bfK":"\\boldsymbol{K}","\\bfL":"\\boldsymbol{L}","\\bfM":"\\boldsymbol{M}","\\bfN":"\\boldsymbol{N}","\\bfO":"\\boldsymbol{O}","\\bfP":"\\boldsymbol{P}","\\bfQ":"\\boldsymbol{Q}","\\bfR":"\\boldsymbol{R}","\\bfS":"\\boldsymbol{S}","\\bfT":"\\boldsymbol{T}","\\bfU":"\\boldsymbol{U}","\\bfV":"\\boldsymbol{V}","\\bfW":"\\boldsymbol{W}","\\bfX":"\\boldsymbol{X}","\\bfY":"\\boldsymbol{Y}","\\bfZ":"\\boldsymbol{Z}"}});$ E term.
ElectrostrictiveCouplingEnergyCalculates a volume integral over the electrostrictive coupling energy density.
ElectrostrictiveCouplingEnergyRefactorCalculates a volume integral over the electrostrictive coupling energy density.
ElectrostrictiveCouplingPEnergyCalculates a volume integral over the electrostrictive coupling energy density.
ElectrostrictiveEnergyCalculates an integral whose integrand is the electrostrictive energy
EnergyRatePostprocessorCalculates the change of a postprocessor divided by the time step.
InhomogeneousBulkEnergyCalculates an integral whose integrand is the free energy density corresponding to the disordered materials coefficients.
MagneticAnisotropyEnergy
MagneticExcessLLBEnergy
MagnetostaticEnergyCart
MasterMagneticAnisotropyEnergy
MasterMagneticExchangeEnergyCalculates an integral over the magnetic exchange energy density.
MasterMagneticZeemanEnergyCartCalculates a volume integral over the Zeeman interaction energy.
RotoBulkEnergyEighthCalculates an integral whose integrand is the eighth order expansion of the AFD fields
RotoPolarCoupledEnergyEighthCalculates an integral over the eighth order coupling energy density between AFD and polarization fields.
RotopolarCouplingEnergyCalculates an integral over the fourth order coupling energy density between AFD and polarization fields.
RotostrictiveCouplingEnergyCalculates a volume integral over the rotostrictive coupling free energy density.
WallEnergyCalculates an integral over the Ginzburg term.

Problem

Ferret App
FerretProblem

ScalarKernels

UserObjects

Ferret App
BoundaryIntegralFMM
GlobalATiO3MaterialRVEUserObjectGlobal Strain UserObject to provide Residual and diagonal Jacobian entry
GlobalBFOMaterialRVEUserObjectGlobal Strain UserObject to provide Residual and diagonal Jacobian entry
LocalConservedNormalNoiseGaussian normal distributed random number noise provider for the ConservedLangevinNoise kernel.
LocalConservedUniformNoiseUniformly distributed random number noise provider for the ConservedLangevinNoise kernel.
Transformed111GlobalBFOMaterialRVEUserObjectGlobal Strain UserObject to provide Residual and diagonal Jacobian entry