论文标题

对称简单排除过程的大偏差,边界缓慢

Large deviations in the symmetric simple exclusion process with slow boundaries

论文作者

Derrida, Bernard, Hirschberg, Ori, Sadhu, Tridib

论文摘要

我们在一个维度对称的简单排除过程的非平衡稳态中获得了密度曲线和电流的确切较大偏差函数,该稳态与速率缓慢的边界储层结合在一起。与较早的结果相比,在边界处的速率与批量相媲美的结果相比,我们展示了当边界速率通过系统长度倒数较慢时,宏观波动是如何修改的。

We obtain the exact large deviation functions of the density profile and of the current, in the non-equilibrium steady state of a one dimensional symmetric simple exclusion process coupled to boundary reservoirs with slow rates. Compared to earlier results, where rates at the boundaries are comparable to the bulk ones, we show how macroscopic fluctuations are modified when the boundary rates are slower by an order of inverse of the system length.

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