Thermodynamic Cross-Effects from Dynamical Systems
chao-dyn
2009-10-31 v1 Statistical Mechanics
Chaotic Dynamics
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.
Cite
@article{arxiv.chao-dyn/9912028,
title = {Thermodynamic Cross-Effects from Dynamical Systems},
author = {Laszlo Matyas and Tamas Tel and Jurgen Vollmer},
journal= {arXiv preprint arXiv:chao-dyn/9912028},
year = {2009}
}
Comments
4 pages, 2 postscript figures