Dynamic mean-field models from a nonequilibrium thermodynamics perspective

M. Hütter, I.V. Karlin, H.C. Öttinger

Research output: Contribution to journalArticleAcademicpeer-review

9 Citations (Scopus)
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Abstract

Complicated dynamic models are often approximated by introducing mean-field approximations and closures. 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 admissible. 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.
Original languageEnglish
Article number016115
Pages (from-to)016115-1/9
Number of pages9
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume68
Issue number1
DOIs
Publication statusPublished - 2003

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