An analysis of single and double generator thermodynamic formalisms for complex fluids. II: The microscopic description

DOI10.1515/jnet.1998.23.4.334zbMath0958.76009OpenAlexW2028675000MaRDI QIDQ1289086

Antony N. Beris, Brian J. Edwards, Hans Christian Öttinger

Publication date: 18 April 2001

Published in: Journal of Non-Equilibrium Thermodynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jnet.1998.23.4.334

zbMATH Keywords

thermodynamicsBoltzmann kinetic equationheat transportcomplex fluidsbracket formalismmicroscopic systemsdouble generator dissipation bracketdouble generator formalismnonisothermal dilute polymer solutionsingle generator formalismsplitting of GENERIC dissipation matrix

Mathematics Subject Classification ID

Thermodynamics of continua (80A17) Statistical mechanics of liquids (82D15) Foundations, constitutive equations, rheology, hydrodynamical models of non-fluid phenomena (76A99)

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Evaluation of the thermodynamic consistency of closure approximations in several models proposed for the description of liquid crystalline dynamics, Nonequilibrium thermodynamics of the first and second kind: averages and fluctuations, On the macroscopic modelling of dilute emulsions under flow, Formulation of moment equations for rarefied gases within two frameworks of non-equilibrium thermodynamics: RET and GENERIC, Single and double generator bracket formulations of multicomponent fluids with irreversible processes

Cites Work

• GENERIC formulation of Boltzmann's kinetic equation
• Non-canonical Poisson bracket for nonlinear elasticity with extensions to viscoelasticity