论文标题

非平衡稳态中的多局度条件

Multibalance conditions in nonequilibrium steady states

论文作者

Mukherjee, Indranil

论文摘要

我们研究了新的平衡条件多局度,以在环上获得一类非平衡晶格模型的非平衡稳态,其中粒子从特定位点跳到其最近和下一个最近的邻居。对于众所周知的零范围工艺(ZRP),在这种平衡条件下,我们获得了导致分解稳态(FSS)的HOP速率的条件。我们表明,这种平衡条件为有限范围过程(FRP)和其他模型提供了群集因子稳态(CFSS)。我们还讨论了多局度条件在两个物种FRP模型中的应用,而HOP速率范围为K最近的邻居。

We study a new balance condition multibalance to obtain the nonequilibrium steady states of a class of nonequilibrium lattice models on a ring where a particle hops from a particular site to its nearest and next nearest neighbours. For the well-known zero range process (ZRP) with asymmetric hop rates, with this balance condition, we obtain the conditions on hop rates that lead to a factorized steady state (FSS). We show that this balance condition gives the cluster-factorized steady state (CFSS) for finite range process (FRP) and other models. We also discuss the application of multibalance condition to two species FRP model with hop rates ranging up to K nearest neighbours.

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