论文标题
在排除过程中的电流密度关系和动态障碍
Current-density relation in the exclusion process with dynamic obstacles
论文作者
论文摘要
我们在存在动态结合并与晶格的障碍物的情况下研究了完全不对称的简单排除过程（TASEP）。该模型是由存在DNA结合蛋白的生物学过程（例如转录）的动机。在使用均值场近似之前已经研究了类似的模型，但是粒子电流和密度之间的确切关系仍然难以捉摸。在这里，我们首先使用广泛的蒙特卡洛模拟表明，该模型中的电流密度关系假设一种准抛物形式类似于没有障碍物的普通tasep。然后，我们尝试使用低密度和高密度颗粒的极限的精确计算来解释这种关系。我们的结果表明，对称，准抛物性电流密度的关系是通过非平凡的高阶项而产生的，与标准Tasep相似。
We investigate the totally asymmetric simple exclusion process (TASEP) in the presence of obstacles that dynamically bind and unbind from the lattice. The model is motivated by biological processes such as transcription in the presence of DNA-binding proteins. Similar models have been studied before using the mean-field approximation, but the exact relation between the particle current and density remains elusive. Here, we first show using extensive Monte Carlo simulations that the current-density relation in this model assumes a quasi-parabolic form similar to that of the ordinary TASEP without obstacles. We then attempt to explain this relation using exact calculations in the limit of low and high density of particles. Our results suggest that the symmetric, quasi-parabolic current-density relation arises through a non-trivial cancellation of higher-order terms, similarly as in the standard TASEP.
