题目： Exact solution to a 2-species exclusion process and its asymptotics (双粒子排他过程的精确解以及它的渐近性)

报告人：陈泽滢，我校

时间：2020年12月15日（星期二）下午14:30-16:00

地点：东区管理科研楼1418教室

摘要：Exclusion process has been the default model for transportation phenomenon. One fundamental issue is to solve the master equation analytically, which, in principle, gives all the correlation function of the system.  In this talk, we will focus on an exclusion process with 2 species particles: the AHR (Arndt-Heinzl-Rittenberg) model. We will give a full derivation of its Green's function as well as its joint current distributions. We will also study its long time behaviour with step type initial conditions. This is a joint work with Jan de Gier, Iori Hiki, Tomohiro Sasamoto and Masato Usui. （排他过程是研究传输现象的经典范例模型，其中最本质的问题之一就是给出其格林函数，从而得到其current distribution。在本报告中，我们考虑双粒子模型AHR model，我们将给出其格林函数以及 joint curren tdistributions的exact formula。同时在跃迁类型的初始条件下，我们会给出其渐近分析，从而得到其在时间趋向无穷时的current distribution的极限。）