| Complicated dynamic models are often approximated by introducing mean-field approximations and clo-sures. The focus here is on examining such mean-field models using nonequilibrium thermodynamics. Two illustrative examples are studied in terms of the double-generator general equation for the nonequilibrium reversible-irreversible coupling (GENERIC) framework. First, it is shown that a model for the coil-stretch transition of long chains in strong elongation flows as proposed by de Gennes is thermodynamically admis-sible. In the second example, we study a Gaussian approximation, which is used to simplify the effect of hydrodynamic interactions in polymer solutions. This approximation, which is known to be in conflict with the fluctuation-dissipation theorem, is identified as defective directly when formulated in the thermodynamic formalism.
for LaTeX users @article{MH\"utter2003-68,
author = {M. H\"utter and I. V. Karlin and H. C. \"Ottinger},
title = {Dynamic mean-field models from a nonequilibrium thermodynamics perspective},
journal = {Phys. Rev. E},
volume = {68},
pages = {016115},
year = {2003}
}
\bibitem{MH\"utter2003-68} M. H\"utter, I.V. Karlin, H.C. \"Ottinger,
Dynamic mean-field models from a nonequilibrium thermodynamics perspective,
Phys. Rev. E {\bf 68} (2003) 016115 (9 pages).MH\"utter2003-68
M. H\"utter, I.V. Karlin, H.C. \"Ottinger
Dynamic mean-field models from a nonequilibrium thermodynamics perspective
Phys. Rev. E,68,2003,016115 (9 pages) |
mk@mat.ethz.ch
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