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Maxwell times in higher-order generalized hydrodynamics: Classical fluids, and carriers and phonons in semiconductors.

Authors :
Rodrigues CG
Silva CA
Ramos JG
Luzzi R
Source :
Physical review. E [Phys Rev E] 2017 Feb; Vol. 95 (2-1), pp. 022104. Date of Electronic Publication: 2017 Feb 06.
Publication Year :
2017

Abstract

A family of what can be so-called Maxwell times which arises in the context of higher-order generalized hydrodynamics (HOGH; also called mesoscopic hydrothermodynamics) is evidenced. This is done in the framework of a HOGH built within a statistical formalism in terms of a nonequilibrium statistical ensemble formalism. It consists in a description in terms of the densities of particles and energy and their fluxes of all orders, with the motion described by a set of coupled nonlinear integro-differential equations involving them. These Maxwell times have a fundamental role in determining the type of hydrodynamic motion that the system would display in the given conditions and constraints. They determine a Maxwell viscous force not present in the usual hydrodynamic equations, for example, in Navier-Stokes equation.

Details

Language :
English
ISSN :
2470-0053
Volume :
95
Issue :
2-1
Database :
MEDLINE
Journal :
Physical review. E
Publication Type :
Academic Journal
Accession number :
28297939
Full Text :
https://doi.org/10.1103/PhysRevE.95.022104