Thermodynamic cross effects from dynamical systems
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.
Matyas
L
Institute for Theoretical Physics, Eotvos University, P. O. Box 32, H-1518 Budapest, Hungary.
Tel
T
Vollmer
J