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Fix surface diffusion salt state dependency documentation
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jbreue16 committed Aug 21, 2024
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Showing 1 changed file with 12 additions and 48 deletions.
60 changes: 12 additions & 48 deletions doc/interface/parameter_dependencies.rst
Original file line number Diff line number Diff line change
Expand Up @@ -96,13 +96,23 @@ Group /input/model/unit_XXX
``PAR_SURFDIFFUSION_EXPFACTOR``

Factor :math:`\texttt{p1}` in exponential law particle surface diffusion relation
:math:`D_{s, i, m} = \tilde{D}_{s, i, m} p_{1, i, m} exp \left(p_{2, i, m} c_{0}^{p} \right)`
where :math:`\tilde{D}_{s, i, m}` is the original surface diffusion coefficient. Only required if :math:`\texttt{PAR_SURFDIFFUSION_DEP}` is :math:`\texttt{LIQUID_SALT_EXPONENTIAL}`.
:math:`D_{s, i, m} = \tilde{D}_{s, i, m} p_{1, i, m} exp \left(p_{2, i, m} c_{0}^{p} \right)`, where :math:`\tilde{D}_{s, i, m}` is the original surface diffusion coefficient.
Only required if :math:`\texttt{PAR_SURFDIFFUSION_DEP}` is :math:`\texttt{LIQUID_SALT_EXPONENTIAL}`.

================ ========================= ===================================
**Type:** double **Range:** :math:`\geq 0` **Length:** :math:`\texttt{NBOUND}`
================ ========================= ===================================

``PAR_SURFDIFFUSION_EXPFACTOR``
:math:`D_{s, i, m} = \tilde{D}_{s, i, m} \left[ p_{4, i, m} \left( k_{i, m} \left( c_{0}^{p} \right) \right)^{p_{5, i, m}} p_{6, i, m} exp \left( p_{7, i, m} k_{i, m} \left( c_{0}^{p} \right) \right) \right]`
where :math:`\tilde{D}_{s, i, m}` is the original surface diffusion coefficient and
:math:`k_{i, m} \left( c_{0}^{p} \right) = p_{1, i, m}\left( c_{0}^{p} \right)^{p_{2, i, m}} + p_{3, i, m}`.
Only required if :math:`\texttt{PAR_SURFDIFFUSION_DEP}` is :math:`\texttt{LIQUID_SALT_COLLOIDAL_AFFINITY}`.

================ ============================= ===================================
**Type:** double **Range:** :math:`\mathbb{R}` **Length:** :math:`\texttt{NBOUND}`
================ ============================= ===================================

``PAR_SURFDIFFUSION_EXPARGMULT``

Factor :math:`\texttt{p2}` in exponential law particle surface diffusion relation
Expand Down Expand Up @@ -168,49 +178,3 @@ Group /input/model/unit_XXX
================ ============================= ===================================
**Type:** double **Range:** :math:`\mathbb{R}` **Length:** :math:`\texttt{NBOUND}`
================ ============================= ===================================

``PAR_SURFDIFFUSION_POWFACTOR``

Factor :math:`\texttt{p4}` in colloidal affinity law particle surface diffusion relation
:math:`D_{s, i, m} = \tilde{D}_{s, i, m} \left[ p_{4, i, m} \left( k_{i, m} \left( c_{0}^{p} \right) \right)^{p_{5, i, m}} p_{6, i, m} exp \left( p_{7, i, m} k_{i, m} \left( c_{0}^{p} \right) \right) \right]`
where :math:`\tilde{D}_{s, i, m}` is the original surface diffusion coefficient and
:math:`k_{i, m} \left( c_{0}^{p} \right) = p_{1, i, m}\left( c_{0}^{p} \right)^{p_{2, i, m}} + p_{3, i, m}`.
Only required if :math:`\texttt{PAR_SURFDIFFUSION_DEP}` is :math:`\texttt{LIQUID_SALT_COLLOIDAL_AFFINITY}`.

================ ============================= ===================================
**Type:** double **Range:** :math:`\mathbb{R}` **Length:** :math:`\texttt{NBOUND}`
================ ============================= ===================================

``PAR_SURFDIFFUSION_POWEXP``

Factor :math:`\texttt{p5}` in colloidal affinity law particle surface diffusion relation
:math:`D_{s, i, m} = \tilde{D}_{s, i, m} \left[ p_{4, i, m} \left( k_{i, m} \left( c_{0}^{p} \right) \right)^{p_{5, i, m}} p_{6, i, m} exp \left( p_{7, i, m} k_{i, m} \left( c_{0}^{p} \right) \right) \right]`
where :math:`\tilde{D}_{s, i, m}` is the original surface diffusion coefficient and
:math:`k_{i, m} \left( c_{0}^{p} \right) = p_{1, i, m}\left( c_{0}^{p} \right)^{p_{2, i, m}} + p_{3, i, m}`.
Only required if :math:`\texttt{PAR_SURFDIFFUSION_DEP}` is :math:`\texttt{LIQUID_SALT_COLLOIDAL_AFFINITY}`.

================ ============================= ===================================
**Type:** double **Range:** :math:`\mathbb{R}` **Length:** :math:`\texttt{NBOUND}`
================ ============================= ===================================

``PAR_SURFDIFFUSION_EXPFACTOR``
:math:`D_{s, i, m} = \tilde{D}_{s, i, m} \left[ p_{4, i, m} \left( k_{i, m} \left( c_{0}^{p} \right) \right)^{p_{5, i, m}} p_{6, i, m} exp \left( p_{7, i, m} k_{i, m} \left( c_{0}^{p} \right) \right) \right]`
where :math:`\tilde{D}_{s, i, m}` is the original surface diffusion coefficient and
:math:`k_{i, m} \left( c_{0}^{p} \right) = p_{1, i, m}\left( c_{0}^{p} \right)^{p_{2, i, m}} + p_{3, i, m}`.
Only required if :math:`\texttt{PAR_SURFDIFFUSION_DEP}` is :math:`\texttt{LIQUID_SALT_COLLOIDAL_AFFINITY}`.

================ ============================= ===================================
**Type:** double **Range:** :math:`\mathbb{R}` **Length:** :math:`\texttt{NBOUND}`
================ ============================= ===================================

``PAR_SURFDIFFUSION_POWEXP``

Factor :math:`\texttt{p5}` in colloidal affinity law particle surface diffusion relation
:math:`D_{s, i, m} = \tilde{D}_{s, i, m} \left[ p_{4, i, m} \left( k_{i, m} \left( c_{0}^{p} \right) \right)^{p_{5, i, m}} p_{6, i, m} exp \left( p_{7, i, m} k_{i, m} \left( c_{0}^{p} \right) \right) \right]`
where :math:`\tilde{D}_{s, i, m}` is the original surface diffusion coefficient and
:math:`k_{i, m} \left( c_{0}^{p} \right) = p_{1, i, m}\left( c_{0}^{p} \right)^{p_{2, i, m}} + p_{3, i, m}`.
Only required if :math:`\texttt{PAR_SURFDIFFUSION_DEP}` is :math:`\texttt{LIQUID_SALT_COLLOIDAL_AFFINITY}`.

================ ============================= ===================================
**Type:** double **Range:** :math:`\mathbb{R}` **Length:** :math:`\texttt{NBOUND}`
================ ============================= ===================================

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