| 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 nonlinear dumbbell models. Second, Ehrenfests 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.
for LaTeX users @article{ANGorban2001-96,
author = {A. N. Gorban and I. V. Karlin and P. Ilg and H. C. \"Ottinger},
title = {Corrections and Enhancements of Quasi-Equilibrium States},
journal = {J. Non-Newtonian Fluid Mech.},
volume = {96},
pages = {203-219},
year = {2001}
}
\bibitem{ANGorban2001-96} A.N. Gorban, I.V. Karlin, P. Ilg, H.C. \"Ottinger,
Corrections and Enhancements of Quasi-Equilibrium States,
J. Non-Newtonian Fluid Mech. {\bf 96} (2001) 203-219.ANGorban2001-96
A.N. Gorban, I.V. Karlin, P. Ilg, H.C. \"Ottinger
Corrections and Enhancements of Quasi-Equilibrium States
J. Non-Newtonian Fluid Mech.,96,2001,203-219 |
mk@mat.ethz.ch
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