Derivation of the nonlinear hydrodynamic equations using multi-mode techniques

Tom A. Kavassalis and Irwin Oppenheim

Physica A: Statistical Mechanics and its Applications, 1988, vol. 148, issue 3, 521-555

Abstract: A general mode-mode coupling theory is developed for the microscopic mass, energy and momentum densities of a simple classical fluid. A projection operator method is employed to derive a generalized Langevin equation that contains nonlinearities of all orders with both convective and dissipative terms. A general nonequilibrium ensemble average, which contains local equilibrium as a special case, is employed to derive nonlinear transport equations that are nonlocal in both space and time.

Date: 1988
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:148:y:1988:i:3:p:521-555

DOI: 10.1016/0378-4371(88)90085-4

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