Thermodynamics and Hydrodynamics for a Modeled Fluid

descriptionPublicationkeyboard_double_arrow_right Article 01 Jul 1972 English Publisher:AIP PublishingJournal:Journal of Mathematical Physics, volume 13, pages 1,042-1,051 (issn: 0022-2488, eissn: 1089-7658,

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Authors: Hardy, J.; Pomeau, Y.;

doi: 10.1063/1.1666083

Thermodynamics and Hydrodynamics for a Modeled Fluid

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Abstract

This article presents a general study of a two-dimensional fluid model with microscopic discrete velocities. The rather unusual properties of this model lead to precise thermodynamical laws. The Navier-Stokes hydrodynamical equations are obtained, which contain a transport coefficient given by a Green-Kubo integral, and it is shown that this integral does not converge for a reason common to all two-dimensional fluids.

Related Organizations

Sorbonne University
France
Laboratoire de Physique des Plasmas
France

Keywords

Foundations, constitutive equations, rheology, hydrodynamical models of non-fluid phenomena

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