Нашли опечатку? Выделите ее мышкой и нажмите Ctrl+Enter
Название: Memory Effects in Nonequilibrium Transport for Deterministic Hamiltonian Systems
Автор: Eckmann J.-P.
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.