理论研究Y型通道同步完全非对称简单排它过程(英文)

Theoretical Investigation of Synchronous Totally Asymmetric Simple Exclusion Processes on Y- Shaped Channel

主要研究Y型通道同步完全非对称简单排它过程.该模型是我们生活中最简单的几何图形,存在于交通系统、管网系统及电网系统等.过去利用完全非对称简单排它过程研究Y型通道时,考虑的主要是进入分支的流量(粒子在分离点进入两条分支)相同,而实际上流量经常是不同的.参数p和q(p<q和p+q=1)分别用来描述进入两条分支的流量比例.不同p和q条件下的稳态粒子流量、密度及相图的理论结果可以获得,理论计算的粒子密度与计算机仿真结果十分吻合.可以发现,当(q-p)增加时,高密度相的面积增加.所获的结果可以帮助我们如何更好地选择管网直径和如何减少交通系统的堵塞.

In this paper, we study the model of synchronous totally asymmetric simple exclusion processes （TA- SEPs） on Y- shaped channels. These models are the simplest geometry in life and can be found on traffic sys- tems, pipeline networks,power grid, and etc. In the past, when TASEPs were used to study the Y - shaped chan- nels, the currents through two sub -channels are always assumed to be equal, but they are often unequal. The var- iables p and q （p 〈 q and p ＋ q = 1 ） are used to describe the percent of currents which enter two sub - channels, respectively. The theoretical results for stationary particle currents, density profiles and a phase diagram with dif- ferent p and q can be obtained and the density profiles of theoretical calculation are in agreement with the computer simulations well. It is found that when the value （q - p） increases, the region of high - density phase increases, too. These results can held us select the diameter of pipeline networks and reduce the jams on traffic systems.