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Thermodynamic cross effects from dynamical systems

par Matyas, Laszlo ;Tél, Tamás;Vollmer, Jürgen
Référence Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 61, 4 A, page (R3295-R3298)
Publication Publié, 2000-04

Article révisé par les pairs

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Résumé :

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. An 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.