Extension of Hydrodynamic Balance Equations for Simple Fluids

A systematic approach to derivation of hydrodynamic-like balance equations for systems with a smooth continuous potential as well as hard sphere repulsion is represented. Cases of many-particle local and two-particle nonlocal hydrodynamic densities are considered. The results are applied for constru...

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Bibliographic Details
Published in:Journal of statistical physics 2011-03, Vol.142 (5), p.1052-1084
Main Authors: Humenyuk, Y. A., Tokarchuk, M. V.
Format: Article
Language:English
Subjects:
Fluid dynamics
Mathematical and Computational Physics
Physical Chemistry
Physics
Physics and Astronomy
Quantum Physics
Statistical Physics and Dynamical Systems
Theoretical
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Summary:A systematic approach to derivation of hydrodynamic-like balance equations for systems with a smooth continuous potential as well as hard sphere repulsion is represented. Cases of many-particle local and two-particle nonlocal hydrodynamic densities are considered. The results are applied for construction of balance equations for fluxes of momentum and energy, which form the first extension of conventional hydrodynamics. Explicit balance equations for the stress tensor and the heat flux in the local frame of reference are obtained.
ISSN:0022-4715
1572-9613
DOI:10.1007/s10955-011-0141-y