Memory Effects in Nonequilibrium Transport for Deterministic Hamiltonian Systems

Article Article scientifique Article Memory Effects in Nonequilibrium Transport for Deterministic Hamiltonian Systems eng 2006 author Eckmann Jean-Pierre 0000-0001-6118-1077 24759 author Mejia Monasterio Carlos 628985 author Zabey Emmanuel 103678 1339-1360 10.1007/s10955-006-9153-4 0022-4715 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. Dewey 500.2 Dewey 510 Open Access - Licence nationale Springer 25 Section de mathématiques 11 37 Département de physique théorique 133 false Journal of Statistical Physics 123 6 496acfc1-a5bb-4625-b13a-f2c3f05b7081 Article (Published version) Public Eckmann2006_Article_MemoryEffectsInNonequilibriumT.pdf 537088 application/pdf openAccess Faculté des sciences / Section de mathématiques Faculté des sciences / Section de physique / Département de physique théorique

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Memory Effects in Nonequilibrium Transport for Deterministic Hamiltonian Systems	Journal of Statistical Physics			2006	406	203

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Mejia Monasterio, Carlos