Jean-Pierre Eckmann, Carlos Mejia-Monasterio, Emmanuel Zabey
Memory Effects in Nonequilibrium Transport for Deterministic Hamiltonian Systems
(1099K, postscript)

ABSTRACT.   We consider nonequilibrium transport in a simple chain of identical 
 mechanical boxes in which particles move around. In each box, there is a 
 rotating disc, with which these particles interact, and this is the only 
 interaction in the model. It was shown earlier that to a 
 good approximation, the jump rates of particles and the energy-exchange 
 rates from cell to cell follow linear profiles. Here, we refine that study, 
 by analyzing higher-order effects which are induced by the presence of 
 external gradients. These effects are due to asymmetric exit rates of 
 particles from an individual cell when subjected to an external 
 thermodynamical gradient and are typical of Hamiltonian dynamics. We 
 develop a stochastic theory which explains how these asymmetries affect 
 various aspects of heat and particle transport in systems of the general 
 type described above. We verify our assumptions with extensive numerical 
 simulations.