The University of Southampton
University of Southampton Institutional Repository

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


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.

Full text not available from this repository.

More information

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


Local EPrints ID: 49186
PURE UUID: 241601c5-13f6-4371-86ff-bc60117c7a76

Catalogue record

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

Export record



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

University divisions

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton:

ePrints Soton supports OAI 2.0 with a base URL of

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.