Posts for the month of January 2010

Entropy Production

Given the free energy $f$ per unit volume, the entropy production for our problem should be,

$ S_p = \frac{M}{T^2} \left( \partial_j \left( \mu_1^{NC} - \mu_2^{NC} \right) \right)^2 + M_{\phi} \left( \frac{1} {T} \frac{\partial f}{\partial \phi} - \epsilon_{\phi} \partial_i^2 \phi \right)^2 + \frac{\nu}{2 T} \left( \left(\partial_i u_j \right)^2 + \left( \partial_i u_j \right) \left( \partial_j u_i \right) \right) $

where the $i$ and $j$ are summed. I think the entropy production for the last two terms is correct. Right now, I'm confused by the first term.

  • Posted: 2010-01-20 11:34 (Updated: 2010-01-20 14:29)
  • Author: wd15
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