Irreversibility in the short memory approximation

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dc.creatorKarlin, Iliya V.
dc.creatorTatarinova, Larisa L.
dc.creatorGorban, Alexander N.
dc.creatorOttinger, Hans Christian
dc.date2003-05-18
dc.date.accessioned2026-07-07T02:51:24Z
dc.date.available2026-07-07T02:51:24Z
dc.descriptionA recently introduced systematic approach to derivations of the macroscopic dynamics from the underlying microscopic equations of motions in the short-memory approximation [Gorban et al, Phys. Rev. E, 63, 066124 (2001)] 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.
dc.description32 pages, 2 figures, elsart, Physica A, to appear
dc.identifierhttps://arxiv.org/abs/cond-mat/0305419
dc.identifierhttp://arxiv.org/abs/cond-mat/0305419
dc.identifierPhysica A, Volume 327, Issues 3-4, 15 September 2003, Pages 399-424
dc.identifierdoi:10.1016/S0378-4371(03)00510-7
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/21441
dc.subjectStatistical Mechanics
dc.subjectSoft Condensed Matter
dc.subjectMathematical Physics
dc.subjectFluid Dynamics
dc.titleIrreversibility in the short memory approximation
dc.typetext

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