Publicado 6 números por año
ISSN Imprimir: 1543-1649
ISSN En Línea: 1940-4352
Indexed in
THERMODYNAMICS: A STRUCTURE EMERGING IN THESTUDY OF RELATIONS AMONG DIFFERENT SCALES
SINOPSIS
Separation of scales becomes problematic in complex fluids. Some sort of multiscale analysis is inevitable. We show that a sufficiently general formulation of thermodynamics provides a unified framework for such analysis. Among the illustrations of the framework, we develop a basis for (i) an extension of the Simha-Somcynski equilibrium theory of polymeric fluids to a rheological theory and (ii) a new approach to the formulation of governing equations of direct molecular simulations of fluids subjected to flow and temperature gradients.
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Arnold, V. I., Mathematical Methods of Classical Mechanics.
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Beris, A. N. and Edwards, B. J., Thermodynamics of Flowing Systems.
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Edwards, B. J., Dressler, M., Grmela, M., and Ait-Kadi, A., Rheological models with microstructural constraints. DOI: 10.1007/s00397-002-0256-9
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Grmela, M., Particle and bracket formulations of kinetic equations.
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Grmela, M., Nonequilibrium extension of the Simha-Somcynski equilibrium theory of polymeric fluids.
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Grmela, M., Thermodynamical lift of the nonlinear Onsager-Casimir vector field.
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Grmela, M., Mesoscopic dynamics and thermodynamics: Applications in polymeric fluids. DOI: 10.1007/3-540-53996-4_37
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Grmela, M., Coupling between microscopic and macroscopic dynamics in NEMD. DOI: 10.1016/0375-9601(93)90542-8
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Grmela, M. and Ottinger, H. C., Dynamics and thermodynamics of complex fluids: General formulation. DOI: 10.1103/PhysRevE.56.6620
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Grmela, M., Complex fluids subjected to external influences. DOI: 10.1016/S0377-0257(00)00186-5
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Grmela, M., Reciprocity relations in thermodynamics. DOI: 10.1016/S0378-4371(02)00564-2
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Grmela, M., Geometry of mesoscopic dynamics and thermodynamics. DOI: 10.1016/j.jnnfm.2003.11.009
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Grmela, M., Extensions of classical hydrodynamics. DOI: 10.1007/s10955-008-9558-3
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Grmela, M., Contact geometry of nonequilibrium thermodynamics.
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Grmela, M., Multiscale equilibrium and nonequilibrium thermodynamics in chemical engineering. DOI: 10.1016/S0065-2377(10)39002-8
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Henderson, D., Hole theory of liquids and dense gases. I equation of state. DOI: 10.1063/1.1701387
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Kaufman, A. N., Dissipative Hamiltonian systems: A unifying principle. DOI: 10.1016/0375-9601(84)90634-0
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Marsden, J. E. and Weinstein, A., Coadjoint orbits, vortices, and Clebsch variables for incompressible fluids. DOI: 10.1016/0167-2789(83)90134-3
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Morrison, P. J., Bracket formulation for irreversible classical fields. DOI: 10.1016/0375-9601(84)90635-2
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Ottinger, H. C. and Grmela, M., Dynamics and thermodynamics of complex fluids: Illustration of the general formalism. DOI: 10.1103/PhysRevE.56.6633
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Ottinger, H. C., Beyond Equilibrium Thermodynamics.
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Sarti, G. C. and Marrucci, G., Thermomechanics of dilute polymer solutions: Multiple bead-spring model. DOI: 10.1016/0009-2509(73)80008-9
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Simha, R. and Somcynski, T., On the statistical thermodynamics of spherical and chain molecule fluids. DOI: 10.1021/ma60010a005
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Utracki, L. A. and Simha, R., Free volume and viscosity of polymer-compressed gas mixtures during extrusion foaming. DOI: 10.1002/1099-0488(20010201)39:3<342::AID-POLB1007>3.0.CO;2-Y