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transport_coefficients [2013/11/10 23:09] nikolaj |
transport_coefficients [2013/11/10 23:10] nikolaj |
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| | @#FFBB00: $ \langle D,\kappa,p,\eta,\zeta \rangle $ | | | @#FFBB00: $ \langle D,\kappa,p,\eta,\zeta \rangle $ | | ||
| - | | @#DDDDDD: $ \Lambda_{ik} = \frac{1}{2}\left( \frac{\partial}{\partial x_k}u_i + \frac{\partial}{\partial x_i}u_k \right) $ | | + | These are matrices or numbers, and they might even depend on any other quantities. |
| | @#55EE55: $ u = - D\ \frac{\nabla n}{n} $ | | | @#55EE55: $ u = - D\ \frac{\nabla n}{n} $ | | ||
| + | |||
| | @#55EE55: $ Q = - \kappa\ \nabla T $ | | | @#55EE55: $ Q = - \kappa\ \nabla T $ | | ||
| + | |||
| + | | @#DDDDDD: $ \Lambda_{ik} = \frac{1}{2}\left( \frac{\partial}{\partial x_k}u_i + \frac{\partial}{\partial x_i}u_k \right) $ | | ||
| | @#55EE55: $ P = p\ I - 2\ \eta\ \Lambda - (\zeta+\frac{2}{3}\eta)\ \nabla u $ | | | @#55EE55: $ P = p\ I - 2\ \eta\ \Lambda - (\zeta+\frac{2}{3}\eta)\ \nabla u $ | | ||
