论文标题
频道排除过程：第一矩驱动的动力学
Stroboscopic exclusion process: a first-moment-driven dynamics
论文作者
论文摘要
我们在离散时间内定义了一个新的排除过程变体，其跳跃概率取决于最后一次跳跃。在跳跃概率的特定限制和空间和时间的适当缩放限制中，我们计算粒子密度从任意初始配置开始的粒子密度的时间演变，并具有封闭的边界条件。该论点的核心是分析矩的时间演变。将数值结果与预测进行了比较，并提供了极好的一致性。
We define a new variant of exclusion processes in discrete time that has jump probabilities that depend on the last jump performed. In a particular limit for the jump probabilities and in suitable scaling limits for space and time, we compute the time evolution of the particle density starting from an arbitrary initial configuration, with closed boundary conditions. The core of the argument is the analysis of the time evolution of the moments. Numerical results are compared with the prediction and give excellent agreement.
