Chapman-Enskog expansion about nonequilibrium states: the sheared granular fluid

dc.creatorLutsko, James F.
dc.date2005-10-27
dc.date2005-11-06
dc.date.accessioned2026-07-07T06:45:36Z
dc.date.available2026-07-07T06:45:36Z
dc.descriptionThe Chapman-Enskog method of solution of kinetic equations, such as the Boltzmann equation, is based on an expansion in gradients of the deviations fo the hydrodynamic fields from a uniform reference state (e.g., local equilibrium). This paper presents an extension of the method so as to allow for expansions about \emph{arbitrary}, far-from equilibrium reference states. The primary result is a set of hydrodynamic equations for studying variations from the arbitrary reference state which, unlike the usual Navier-Stokes hydrodynamics, does not restrict the reference state in any way. The method is illustrated by application to a sheared granular gas which cannot be studied using the usual Navier-Stokes hydrodynamics.
dc.description23 pages, no figures. Submited to PRE Replaced to correct misc. errors Replaced to correct misc. errors, make notation more consistant, extend discussion
dc.identifierhttps://arxiv.org/abs/cond-mat/0510749
dc.identifierhttp://arxiv.org/abs/cond-mat/0510749
dc.identifierPhys. Rev. E 73, 021302 (2006)
dc.identifierdoi:10.1103/PhysRevE.73.021302
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/103087
dc.subjectStatistical Mechanics
dc.subjectSoft Condensed Matter
dc.titleChapman-Enskog expansion about nonequilibrium states: the sheared granular fluid
dc.typetext

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