论文标题

边界驱动的零范围过程的非平衡固定特性,跳远

Non-equilibrium stationary properties of the boundary driven zero-range process with long jumps

论文作者

Bernardin, Cédric, Gonçalves, Patricia, Oviedo-Jiménez, Byron, Scotta, Stefano

论文摘要

我们考虑跳远的零范围工艺,并与其非平衡固定状态的无限多个储层接触。我们得出了静静力极限和FICK定律,这是排除过程与零范围过程之间关系的结果。我们还获得了经验密度的大偏差原理,即我们计算非平衡自由能。

We consider the zero-range process with long jumps and in contact with infinitely many reservoirs in its non-equilibrium stationary state. We derive the hydrostatic limit and the Fick's law, which are a consequence of a relationship between the exclusion process and the zero-range process. We also obtain the large deviation principle for the empirical density, i.e. we compute the non-equilibrium free energy.

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