- ... Modified1
-
This form reduces to the classical Fick's law
under special circumstances as
described later
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- ... potential.2
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If this is to be generalized to non-conserved quantities, then
another term is included to account for the local production
of that non-conserved quantity,
![$\displaystyle T \dot{\sigma} = -\frac{\ensuremath{\vec{J}}_Q}{T} \cdot \nabla T - \ensuremath{\vec{J}}_i \cdot \nabla F_i -{\cal P}(A)$](img18.gif) |
(03-3) |
where
is a positive definite operator, e.g.,
![$\displaystyle T \dot{\sigma} = -\frac{\ensuremath{\vec{J}}_Q}{T} \cdot \nabla T - \ensuremath{\vec{J}}_i \cdot \nabla F_i - \alpha A \dot{A}$](img20.gif) |
(03-4) |
![$\displaystyle T \dot{\sigma} = -\frac{\ensuremath{\vec{J}}_Q}{T} \cdot \nabla T - \ensuremath{\vec{J}}_i \cdot \nabla F_i - \frac{\alpha}{2} \dot{A^2}$](img21.gif) |
(03-5) |
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