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Fokker-Planck description of Navier-Stokes fluid

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  • Enz, C.P.

Abstract

The Navier-Stokes equations with random stirring forces studied by Forster et al. are analyzed in the formalism developed recently. It is shown that without an Einstein relation detailed balance is violated. In detailed balance zero-frequency non-renormalization theorems are used to define a general renormalized viscosity vR and to show the non-renormalization of the 3-point vertex for all wave numbers. Based on the response self-energy calculated to second order, recursion relations for v−1K are obtained which are used to rederive the results of Forster et al. for model A.

Suggested Citation

  • Enz, C.P., 1978. "Fokker-Planck description of Navier-Stokes fluid," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 94(1), pages 20-38.
    • Handle: RePEc:eee:phsmap:v:94:y:1978:i:1:p:20-38
    DOI: 10.1016/0378-4371(78)90125-5
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