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Moderate Deviations for the SSEP with a Slow Bond
Journal of Statistical Physics ( IF 1.3 ) Pub Date : 2021-02-26 , DOI: 10.1007/s10955-021-02732-2 Xiaofeng Xue , Linjie Zhao
中文翻译:
慢速粘结SSEP的适度偏差
更新日期:2021-02-28
Journal of Statistical Physics ( IF 1.3 ) Pub Date : 2021-02-26 , DOI: 10.1007/s10955-021-02732-2 Xiaofeng Xue , Linjie Zhao
We consider the one dimensional symmetric simple exclusion process with a slow bond. In this model, particles cross each bond at rate \(N^2\), except one particular bond, the slow bond, where the rate is N. Above, N is the scaling parameter. This model has been considered in the context of hydrodynamic limits, fluctuations and large deviations. We investigate moderate deviations from hydrodynamics and obtain a moderate deviation principle.
中文翻译:
慢速粘结SSEP的适度偏差
我们考虑具有慢键的一维对称简单排除过程。在此模型中,颗粒在交叉速率每个键\(N ^ 2 \) ,除了一个特定键,慢键,其中所述速率是Ñ。上面的N是缩放参数。在水动力极限,波动和大偏差的背景下考虑了该模型。我们研究了与流体动力学有关的中度偏差,并获得了中度偏差原理。