caa a22 4500 467891869 CHVBK 20180406152751.0 cr unu---uuuuu 170328e20060601xx s 000 0 eng 10.1007/s10955-006-9153-4 doi (NATIONALLICENCE)springer-10.1007/s10955-006-9153-4 Memory Effects in Nonequilibrium Transport for Deterministic Hamiltonian Systems [Elektronische Daten] [Jean-Pierre Eckmann, Carlos Mejía-Monasterio, Emmanuel Zabey] We consider nonequilibrium transport in a simple chain of identical mechanical cells in which particles move around. In each cell, there is a rotating disc, with which these particles interact, and this is the only interaction in the model. It was shown in Ref. 1 that when the cells are weakly coupled, 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 for situations in which memory effects, typical of Hamiltonian dynamics, cannot be neglected. For the steady state we propose a set of balance equations for the particle number and energy in terms of the reflection probabilities of the cell and solve it phenomenologically. Using this approximate theory we explain how these asymmetries affect various aspects of heat and particle transport in systems of the general type described above and obtain in the infinite volume limit the deviation from the theory in Ref. 1 to first-order. We verify our assumptions with extensive numerical simulations. Springer Science + Business Media, B.V., 2006 heat transport nationallicence Eckmann Jean-Pierre Département de Physique Théorique, Université de Geneve, Geneve, Switzerland aut Mejía-Monasterio Carlos Département de Physique Théorique, Université de Geneve, Geneve, Switzerland aut Zabey Emmanuel Département de Physique Théorique, Université de Geneve, Geneve, Switzerland aut Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 123/6(2006-06-01), 1339-1360 0022-4715 123:6<1339 2006 123 10955 https://doi.org/10.1007/s10955-006-9153-4 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10955-006-9153-4 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Eckmann Jean-Pierre Département de Physique Théorique, Université de Geneve, Geneve, Switzerland aut NATIONALLICENCE 700 1- Mejía-Monasterio Carlos Département de Physique Théorique, Université de Geneve, Geneve, Switzerland aut NATIONALLICENCE 700 1- Zabey Emmanuel Département de Physique Théorique, Université de Geneve, Geneve, Switzerland aut NATIONALLICENCE 773 0- Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 123/6(2006-06-01), 1339-1360 0022-4715 123:6<1339 2006 123 10955 Metadata rights reserved Springer special CC-BY-NC licence nationallicence SWISSBIB 239323092 BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer