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), 203-219. (doi:10.1016/S0377-0257(00)00135-X).
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Description/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.
| Item Type: | Article |
|---|---|
| ISSNs: | 0377-0257 (print) |
| Related URLs: | |
| Keywords: | non-equilibrium thermodynamics, quasi-equilibrium approximation, invariant manifold, coarse-graining |
| Subjects: | T Technology > TA Engineering (General). Civil engineering (General) Q Science > QC Physics |
| Divisions: | University Structure - Pre August 2011 > School of Engineering Sciences > Thermofluids and Superconductivity |
| Item ID: | 49186 |
| Date Deposited: | 26 Oct 2007 |
| Last Modified: | 01 Jun 2011 11:53 |
| Contributors: | Gorban, Alexander N. (Author) Karlin, Iliya V. (Author) Ilg, Patrick (Author) Öttinger, Hans Christian (Author) |
| Date: | 15 January 2001 |
| Status: | Published |
| URI: | http://eprints.soton.ac.uk/id/eprint/49186 |
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