Thermodynamic Cross-Effects from Dynamical Systems

Laszlo Matyas; Tamas Tel; Jurgen Vollmer

doi:10.1103/physreve.61.r3295

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arXiv · chao-dyn/9912028

Thermodynamic Cross-Effects from Dynamical Systems

Laszlo Matyas·Tamas Tel·Jurgen Vollmer

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Abstract

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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Laszlo Matyas, Tamas Tel, Jurgen Vollmer. 1999-12-20. Thermodynamic Cross-Effects from Dynamical Systems. https://doi.org/10.1103/physreve.61.r3295

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