Dynamics and thermodynamics of complex fluids. I. Development of a general formalism

1997/12/01 by Miroslav Grmela, Hans Christian Öttinger · 25 citations
Computer Science · Engineering · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Nonlinear Dynamics and Pattern Formation #Phase Equilibria and Thermodynamics

paper · doi:10.1103/physreve.56.6620

openalex publication_date 1997/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

We recognize some universal features of macroscopic dynamics describing the approach of a well-established level of description (that is, successfully tested by experimental observations) to equilibrium. The universal features are collected in a general equation for the nonequilibrium reversible-irreversible coupling (abbreviated as GENERIC). In this paper we formulate a GENERIC, derive properties of its solutions, and discuss their physical interpretation. The relation of the GENERIC with thermodynamics is most clearly displayed in a formulation that uses contact structures. The GENERIC is also discussed in the presence of noise. In applications we either search for new governing equations expressing our insight into a particular complex fluid or take well-established governing equations and cast them into the form of a GENERIC. In the former case we obtain the governing equations as particular realizations of the GENERIC structure; in the latter case we justify the universality of the GENERIC and derive some properties of solutions. Both types of applications are discussed mainly in the following paper [Phys. Rev. E 56, 6633 (1997)].

Citations

• Pattern formation outside of equilibrium

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