Thermodynamic Cross-Effects from Dynamical Systems

Details Thermodynamic Cross-Effects from Dynamical Systems Thermodynamic Cross-Effects from Dynamical Systems

1999-12-20

arxiv.org/abs/chao-dyn/9912028v1

Physical Review E 61, R3295-8 (2000)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 2 postscript figures

Scientific paper

10.1103/PhysRevE.61.R3295

We give a thermodynamically consistent description of simultaneous heat and particle transport, as well as of the associated cross-effects, in the framework of a chaotic dynamical system, a generalized multibaker map. Besides the density, a second field with appropriate source terms is included in order to mimic, after coarse graining, a spatial temperature distribution and its time evolution. A new expression is derived for the irreversible entropy production in a steady state, as the average of the growth rate of the relative density, a unique combination of the two fields.

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