An analysis of single and double generator thermodynamic formalisms for the macroscopic description of complex fluids

DOI10.1515/jnet.1998.23.4.301zbMath0932.76007OpenAlexW2010672014MaRDI QIDQ1289085

Brian J. Edwards

Publication date: 8 March 2000

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

Full work available at URL: https://doi.org/10.1515/jnet.1998.23.4.301

zbMATH Keywords

generating functionalentropy functionallinear dissipationGENERIC formalismchemically reactive fluid systemcompressible nonisothermal isotropic fluidfluid with unspecified internal variablegenerator bracket formalismglobal energy conservationsymmetric metric matrix

Mathematics Subject Classification ID

Thermodynamics of continua (80A17) Chemically reacting flows (80A32) Statistical mechanics of liquids (82D15) Foundations, constitutive equations, rheology, hydrodynamical models of non-fluid phenomena (76A99)

Related Items (10)

Concurrent two-scale model for the viscoelastic behavior of elastomers filled with hard nanoparticles ⋮ Formulation of thermoelastic dissipative material behavior using GENERIC ⋮ GENERIC-based formulation and discretization of initial boundary value problems for finite strain thermoelasticity ⋮ On the formulation of continuum thermodynamic models for solids as general equations for non-equilibrium reversible-irreversible coupling ⋮ Decay to Equilibrium for Energy-Reaction-Diffusion Systems ⋮ Nonequilibrium thermodynamics of the first and second kind: averages and fluctuations ⋮ Automated symbolic calculations in nonequilibrium thermodynamics ⋮ 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 ⋮ Variational principles and nonequilibrium thermodynamics

Cites Work

• Internal variables and the thermodynamics of macromolecule solutions
• A paradigm for joined Hamiltonian and dissipative systems
• On the relationships between thermodynamic formalisms for complex fluids
• An amendment to the second law
• Bracket formulation of diffusion-convection equations
• Semidirect Products and Reduction in Mechanics
• Hamiltonian mechanics of complex fluids
• Hamiltonian formulation of inviscid flows with free boundaries
• Non-canonical Poisson bracket for nonlinear elasticity with extensions to viscoelasticity
• Numerical study of three-dimensional Kolmogorov flow at high Reynolds numbers

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