Multibalance conditions in nonequilibrium steady states

Indranil Mukherjee

Published 2020-09-09Version 1

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 neighbors. 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. We show that this balance conditions gives the cluster-factorized steady state for finite range process (FRP) and other models. We also discuss the application of Multibalance condition to two species FRP models with hop rates ranging up to K nearest neighbors.