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Extension of Hydrodynamic Balance Equations for Simple Fluids

Journal of Statistical Physics, ISSN: 0022-4715, Vol: 142, Issue: 5, Page: 1052-1084
2011
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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. © 2011 Springer Science+Business Media, LLC.

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