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transport_coefficients [2013/11/10 22:13] nikolaj |
transport_coefficients [2013/11/10 23:09] nikolaj |
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- | ===== Macroscopic observables from kinetic theory ===== | + | ===== Transport coefficients ===== |
==== Definition ==== | ==== Definition ==== | ||
| @#88DDEE: $ n,u,Q,T,\mathrm{P},K $ ... density, mean velocity, heat flux, pressure tensor, temperature, external force | | | @#88DDEE: $ n,u,Q,T,\mathrm{P},K $ ... density, mean velocity, heat flux, pressure tensor, temperature, external force | | ||
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| @#55EE55: $ u = - D\ \frac{\nabla n}{n} $ | | | @#55EE55: $ u = - D\ \frac{\nabla n}{n} $ | | ||
| @#55EE55: $ Q = - \kappa\ \nabla T $ | | | @#55EE55: $ Q = - \kappa\ \nabla T $ | | ||
- | | @#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 $ | |
| @#55EE55: $ u = \mu\ K $ | | | @#55EE55: $ u = \mu\ K $ | |