论文标题
在完全不对称的简单排除过程中，电流的非自动平均范围与淬火障碍
Non-self-averaging of current in a totally asymmetric simple exclusion process with quenched disorder
论文作者
论文摘要
我们研究了完全不对称的简单排除过程（TASEP）中的当前特性。在低密度和高密度方案中，该性质的特征是单粒子动力学。在中间的一个中，电流变为恒定并最大化。基于续签理论，我们为最大电流得出准确的结果。最大电流显着取决于疾病的实现，即非自我平均（SA）。我们证明，最大电流的平均障碍随系统的大小而降低，最大电流的样本对样本的波动超过了低密度和高密度状态下的电流。我们发现单粒子动力学和TASEP之间存在显着差异。特别是，总是观察到最大电流的非SA行为，而单粒子动力学中的电流从非SA到SA的过渡。
We investigate the current properties in the totally asymmetric simple exclusion process (TASEP) on a quenched random energy landscape. In low- and high-density regimes, the properties are characterized by single-particle dynamics. In the intermediate one, the current becomes constant and is maximized. Based on the renewal theory, we derive accurate results for the maximum current. The maximum current significantly depends on a disorder realization, i.e., non-self-averaging (SA). We demonstrate that the disorder average of the maximum current decreases with the system size, and the sample-to-sample fluctuations of the maximum current exceed those of current in the low- and high-density regimes. We find a significant difference between single-particle dynamics and the TASEP. In particular, the non-SA behavior of the maximum current is always observed, whereas the transition from non-SA to SA for current in single-particle dynamics exists.
