some modifications in line with Davids analytical model
input some additional variables via material.config
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Franz Roters
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@ -58,6 +58,8 @@ real(pReal), dimension(:), allocatable :: constitutive_dislotwin
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constitutive_dislotwin_CEdgeDipMinDistance, & !
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constitutive_dislotwin_Cmfptwin, & !
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constitutive_dislotwin_Cthresholdtwin, & !
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constitutive_dislotwin_SolidSolutionStrength, & ! Strength due to elements in solid solution
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constitutive_dislotwin_L0, & ! Length of twin nuclei in Burgers vectors
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constitutive_dislotwin_relevantRho ! dislocation density considered relevant
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real(pReal), dimension(:,:,:), allocatable :: constitutive_dislotwin_Cslip_66 ! elasticity matrix in Mandel notation for each instance
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real(pReal), dimension(:,:,:,:), allocatable :: constitutive_dislotwin_Ctwin_66 ! twin elasticity matrix in Mandel notation for each instance
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@ -178,30 +180,34 @@ allocate(constitutive_dislotwin_r(maxNinstance))
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allocate(constitutive_dislotwin_CEdgeDipMinDistance(maxNinstance))
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allocate(constitutive_dislotwin_Cmfptwin(maxNinstance))
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allocate(constitutive_dislotwin_Cthresholdtwin(maxNinstance))
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allocate(constitutive_dislotwin_SolidSolutionStrength(maxNinstance))
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allocate(constitutive_dislotwin_L0(maxNinstance))
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allocate(constitutive_dislotwin_relevantRho(maxNinstance))
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allocate(constitutive_dislotwin_Cslip_66(6,6,maxNinstance))
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allocate(constitutive_dislotwin_Cslip_3333(3,3,3,3,maxNinstance))
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constitutive_dislotwin_CoverA = 0.0_pReal
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constitutive_dislotwin_C11 = 0.0_pReal
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constitutive_dislotwin_C12 = 0.0_pReal
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constitutive_dislotwin_C13 = 0.0_pReal
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constitutive_dislotwin_C33 = 0.0_pReal
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constitutive_dislotwin_C44 = 0.0_pReal
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constitutive_dislotwin_Gmod = 0.0_pReal
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constitutive_dislotwin_CAtomicVolume = 0.0_pReal
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constitutive_dislotwin_D0 = 0.0_pReal
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constitutive_dislotwin_Qsd = 0.0_pReal
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constitutive_dislotwin_GrainSize = 0.0_pReal
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constitutive_dislotwin_p = 0.0_pReal
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constitutive_dislotwin_q = 0.0_pReal
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constitutive_dislotwin_MaxTwinFraction = 0.0_pReal
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constitutive_dislotwin_r = 0.0_pReal
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constitutive_dislotwin_CEdgeDipMinDistance = 0.0_pReal
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constitutive_dislotwin_Cmfptwin = 0.0_pReal
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constitutive_dislotwin_Cthresholdtwin = 0.0_pReal
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constitutive_dislotwin_relevantRho = 0.0_pReal
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constitutive_dislotwin_Cslip_66 = 0.0_pReal
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constitutive_dislotwin_Cslip_3333 = 0.0_pReal
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constitutive_dislotwin_CoverA = 0.0_pReal
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constitutive_dislotwin_C11 = 0.0_pReal
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constitutive_dislotwin_C12 = 0.0_pReal
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constitutive_dislotwin_C13 = 0.0_pReal
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constitutive_dislotwin_C33 = 0.0_pReal
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constitutive_dislotwin_C44 = 0.0_pReal
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constitutive_dislotwin_Gmod = 0.0_pReal
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constitutive_dislotwin_CAtomicVolume = 0.0_pReal
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constitutive_dislotwin_D0 = 0.0_pReal
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constitutive_dislotwin_Qsd = 0.0_pReal
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constitutive_dislotwin_GrainSize = 0.0_pReal
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constitutive_dislotwin_p = 0.0_pReal
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constitutive_dislotwin_q = 0.0_pReal
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constitutive_dislotwin_MaxTwinFraction = 0.0_pReal
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constitutive_dislotwin_r = 0.0_pReal
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constitutive_dislotwin_CEdgeDipMinDistance = 0.0_pReal
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constitutive_dislotwin_Cmfptwin = 0.0_pReal
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constitutive_dislotwin_Cthresholdtwin = 0.0_pReal
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constitutive_dislotwin_SolidSolutionStrength= 0.0_pReal
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constitutive_dislotwin_L0 = 0.0_pReal
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constitutive_dislotwin_relevantRho = 0.0_pReal
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constitutive_dislotwin_Cslip_66 = 0.0_pReal
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constitutive_dislotwin_Cslip_3333 = 0.0_pReal
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allocate(constitutive_dislotwin_rhoEdge0(lattice_maxNslipFamily,maxNinstance))
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allocate(constitutive_dislotwin_rhoEdgeDip0(lattice_maxNslipFamily,maxNinstance))
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allocate(constitutive_dislotwin_burgersPerSlipFamily(lattice_maxNslipFamily,maxNinstance))
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@ -321,6 +327,10 @@ do ! read thru sections of
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constitutive_dislotwin_Cmfptwin(i) = IO_floatValue(line,positions,2)
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case ('cthresholdtwin')
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constitutive_dislotwin_Cthresholdtwin(i) = IO_floatValue(line,positions,2)
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case ('SolidSolutionStrength')
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constitutive_dislotwin_SolidSolutionStrength(i) = IO_floatValue(line,positions,2)
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case ('L0')
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constitutive_dislotwin_L0(i) = IO_floatValue(line,positions,2)
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case ('cedgedipmindistance')
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constitutive_dislotwin_CEdgeDipMinDistance(i) = IO_floatValue(line,positions,2)
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case ('catomicvolume')
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@ -631,7 +641,7 @@ constitutive_dislotwin_GrainSize(myInstance)/(1.0_pReal+invLambdaSlip0(s)*consti
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constitutive_dislotwin_stateInit(4*ns+2*nt+1:5*ns+2*nt) = MeanFreePathSlip0
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forall (s = 1:ns) &
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tauSlipThreshold0(s) = &
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tauSlipThreshold0(s) = constitutive_dislotwin_SolidSolutionStrength(myInstance)+ &
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constitutive_dislotwin_Gmod(myInstance)*constitutive_dislotwin_burgersPerSlipSystem(s,myInstance)* &
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sqrt(dot_product((rhoEdge0+rhoEdgeDip0),constitutive_dislotwin_interactionMatrixSlipSlip(1:ns,s,myInstance)))
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constitutive_dislotwin_stateInit(5*ns+3*nt+1:6*ns+3*nt) = tauSlipThreshold0
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@ -739,7 +749,7 @@ integer(pInt), intent(in) :: g,ip,el
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real(pReal), intent(in) :: Temperature
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type(p_vec), dimension(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems), intent(inout) :: state
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!* Local variables
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integer(pInt) myInstance,myStructure,ns,nt,s,t,i
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integer(pInt) myInstance,myStructure,ns,nt,s,t
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real(pReal) sumf,sfe
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real(pReal), dimension(constitutive_dislotwin_totalNtwin(phase_constitutionInstance(material_phase(g,ip,el)))) :: fOverStacksize
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@ -814,7 +824,7 @@ forall (t = 1:nt) &
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!* threshold stress for dislocation motion
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forall (s = 1:ns) &
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state(g,ip,el)%p(5*ns+3*nt+s) = &
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state(g,ip,el)%p(5*ns+3*nt+s) = constitutive_dislotwin_SolidSolutionStrength(myInstance)+ &
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constitutive_dislotwin_Gmod(myInstance)*constitutive_dislotwin_burgersPerSlipSystem(s,myInstance)*&
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sqrt(dot_product((state(g,ip,el)%p(1:ns)+state(g,ip,el)%p(ns+1:2*ns)),&
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constitutive_dislotwin_interactionMatrixSlipSlip(1:ns,s,myInstance)))
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@ -825,7 +835,7 @@ forall (t = 1:nt) &
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constitutive_dislotwin_Cthresholdtwin(myInstance)*&
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(sfe/(3.0_pReal*constitutive_dislotwin_burgersPerTwinSystem(t,myInstance))+&
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3.0_pReal*constitutive_dislotwin_burgersPerTwinSystem(t,myInstance)*constitutive_dislotwin_Gmod(myInstance)/&
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state(g,ip,el)%p(5*ns+2*nt+t))
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(constitutive_dislotwin_L0(myInstance)*constitutive_dislotwin_burgersPerSlipSystem(t,myInstance)))
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!* final twin volume after growth
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forall (t = 1:nt) &
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@ -1026,7 +1036,7 @@ type(p_vec), dimension(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems), in
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real(pReal), dimension(constitutive_dislotwin_sizeDotState(phase_constitutionInstance(material_phase(g,ip,el)))) :: &
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constitutive_dislotwin_dotState
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!* Local variables
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integer(pInt) MyInstance,MyStructure,ns,nt,f,i,j,k,index_myFamily
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integer(pInt) MyInstance,MyStructure,ns,nt,f,i,j,index_myFamily
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real(pReal) sumf,StressRatio_p,StressRatio_pminus1,BoltzmannRatio,DotGamma0,&
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EdgeDipMinDistance,AtomicVolume,VacancyDiffusion,StressRatio_r
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real(pReal), dimension(constitutive_dislotwin_totalNslip(phase_constitutionInstance(material_phase(g,ip,el)))) :: &
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@ -1034,7 +1044,7 @@ gdot_slip,tau_slip,DotRhoMultiplication,EdgeDipDistance,DotRhoEdgeEdgeAnnihilati
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ClimbVelocity,DotRhoEdgeDipClimb,DotRhoDipFormation
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real(pReal), dimension(constitutive_dislotwin_totalNtwin(phase_constitutionInstance(material_phase(g,ip,el)))) :: &
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gdot_twin,tau_twin
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tau_twin
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!* Shortened notation
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myInstance = phase_constitutionInstance(material_phase(g,ip,el))
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@ -323,10 +323,11 @@ constitution dislotwin
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### Material parameters ###
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lattice_structure fcc
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C11 175.0e9 # From Music et al. Applied Physics Letters 91, 191904 (2007)
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C12 115.0e9
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C44 135.0e9
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grainsize 2.0e-5 # Average grain size [m]
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C11 175.0e9 # From Music et al. Applied Physics Letters 91, 191904 (2007)
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C12 115.0e9
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C44 135.0e9
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grainsize 2.0e-5 # Average grain size [m]
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SolidSolutionStrength 1.5e8 # Strength due to elements in solid solution
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### Dislocation glide parameters ###
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Nslip 12 0 0 0
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@ -349,6 +350,7 @@ interactionSlipSlip 0.122 0.122 0.625 0.07 0.137 0.122 # Interaction coefficient
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Ntwin 12
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twinburgers 1.47e-10 # Burgers vector of twin system [m]
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twinsize 5.0e-8 # Twin stack mean thickness [m]
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L0 442.0 # Length of twin nuclei in Burgers vectors
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maxtwinfraction 1.0 # Maximum admissible twin volume fraction
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Ndot0 0.0 # Number of potential sources per volume per time [1/m**3.s]
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rexponent 10.0 # r-exponent in twin formation probability
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