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Ehrenfest's argument extended to a formalism of nonequilibrium thermodynamics

Ehrenfest's argument extended to a formalism of nonequilibrium thermodynamics
Ehrenfest's argument extended to a formalism of nonequilibrium thermodynamics
A general method of constructing dissipative equations is developed, following Ehrenfest's idea of coarse graining. The approach resolves the major issue of discrete time coarse graining versus continuous time macroscopic equations. Proof of the H theorem for macroscopic equations is given, several examples supporting the construction are presented, and generalizations are suggested
1063-651X
66124
Gorban, A.N.
3b4ae629-6486-47c8-9d6c-6d89a9985dd5
Karlin, I.V.
3f0e01a2-c4d9-4210-9ef3-47e6c426cc8a
Ottinger, H.C.
d55d7165-ee2d-4878-a095-e2b6d13d1a8c
Tatarinova, L.L.
aebbf66a-f0a9-4a2c-8950-a2a19d54e48c
Gorban, A.N.
3b4ae629-6486-47c8-9d6c-6d89a9985dd5
Karlin, I.V.
3f0e01a2-c4d9-4210-9ef3-47e6c426cc8a
Ottinger, H.C.
d55d7165-ee2d-4878-a095-e2b6d13d1a8c
Tatarinova, L.L.
aebbf66a-f0a9-4a2c-8950-a2a19d54e48c

Gorban, A.N., Karlin, I.V., Ottinger, H.C. and Tatarinova, L.L. (2001) Ehrenfest's argument extended to a formalism of nonequilibrium thermodynamics. Physical Review E, 63 (6), 66124. (doi:10.1103/PhysRevE.63.066124).

Record type: Article

Abstract

A general method of constructing dissipative equations is developed, following Ehrenfest's idea of coarse graining. The approach resolves the major issue of discrete time coarse graining versus continuous time macroscopic equations. Proof of the H theorem for macroscopic equations is given, several examples supporting the construction are presented, and generalizations are suggested

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Published date: June 2001

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Local EPrints ID: 49185
URI: http://eprints.soton.ac.uk/id/eprint/49185
ISSN: 1063-651X
PURE UUID: a065a597-c5eb-4e7c-ae9e-dce3341be5b4

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Date deposited: 26 Oct 2007
Last modified: 15 Mar 2024 09:53

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Contributors

Author: A.N. Gorban
Author: I.V. Karlin
Author: H.C. Ottinger
Author: L.L. Tatarinova

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