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Corrections and enhancements of quasi-equilibrium states

Gorban, Alexander N., Karlin, Iliya V., Ilg, Patrick and Öttinger, Hans Christian (2001) Corrections and enhancements of quasi-equilibrium states Journal of Non-Newtonian Fluid Mechanics, 96, (1-2), pp. 203-219. (doi:10.1016/S0377-0257(00)00135-X).

Record type: Article

Abstract

We give a compact non-technical presentation of two basic principles for reducing the description of nonequilibrium systems based on the quasi-equilibrium approximation. These two principles are: construction of invariant manifolds for the dissipative microscopic dynamics, and coarse-graining for the entropy-conserving microscopic dynamics. Two new results are presented: first, an application of the invariance principle to hybridization of micro-macro integration schemes is introduced, and is illustrated with non-linear dumbbell models; second, Ehrenfest's coarse-graining is extended to general quasi-equilibrium approximations, which gives the simplest way to derive dissipative equations from the Liouville equation in the short memory approximation.

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More information

Submitted date: 4 October 1999
Published date: 15 January 2001
Keywords: non-equilibrium thermodynamics, quasi-equilibrium approximation, invariant manifold, coarse-graining

Identifiers

Local EPrints ID: 49186
URI: http://eprints.soton.ac.uk/id/eprint/49186
PURE UUID: 241601c5-13f6-4371-86ff-bc60117c7a76

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Date deposited: 26 Oct 2007
Last modified: 17 Jul 2017 14:56

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Contributors

Author: Alexander N. Gorban
Author: Iliya V. Karlin
Author: Patrick Ilg
Author: Hans Christian Öttinger

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