论文标题
在各种时间尺度下Tasep中的冲击波动
Shock fluctuations in TASEP under a variety of time scalings
论文作者
论文摘要
我们认为完全不对称的简单排除过程(TASEP)具有两个不同的初始条件,并由完全堆积的颗粒块形成冲击不连续性。最初,第二类粒子位于冲击不连续性的左侧。使用彩色tasep,我们得出精确的公式,用于分布二等粒子和彩色高度函数。这些是根据单个TASEP配置的不同位置的高度函数给出的。我们研究二等颗粒(和彩色高度功能)的限制分布。结果取决于颗粒的宽度块如何随观察时间尺度尺度。我们研究各种量表。
We consider the totally asymmetric simple exclusion process (TASEP) with two different initial conditions with shock discontinuities formed by blocks of fully packed particles. Initially a second class particle is at the left of a shock discontinuity. Using multicolored TASEP we derive exact formulas for the distribution of the second class particle and colored height functions. These are given in terms of the height function at different positions of a single TASEP configuration. We study the limiting distributions of second class particles (and colored height functions). The result depends on how the width blocks of particles scale with the observation time; we study a variety of such scalings.