Irreversibility in the short memory approximation

Iliya V. Karlin, Larisa L. Tatarinova, Alexander N. Gorban and Hans Christian Öttinger

Physica A: Statistical Mechanics and its Applications, 2003, vol. 327, issue 3, 399-424

Abstract: A recently introduced systematic approach to derivations of the macroscopic dynamics from the underlying microscopic equations of motions in the short-memory approximation (Phys. Rev. E 63 (2001) 066124) is presented in detail. The essence of this method is a consistent implementation of Ehrenfest's idea of coarse-graining, realized via a matched expansion of both the microscopic and the macroscopic motions. Applications of this method to a derivation of the nonlinear Vlasov–Fokker–Planck equation, diffusion equation and hydrodynamic equations of the fluid with a long-range mean field interaction are presented in full detail. The advantage of the method is illustrated by the computation of the post-Navier–Stokes approximation of the hydrodynamics which is shown to be stable unlike the Burnett hydrodynamics.

Keywords: Irreversible dynamics; Coarse-graining; Kinetic equations; Hydrodynamic equations (search for similar items in EconPapers)
Date: 2003
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:327:y:2003:i:3:p:399-424

DOI: 10.1016/S0378-4371(03)00510-7

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