Uniform And Non-uniform Zrp Condensation

We introduce a one-dimensional Zero-Range Process model(ZRP) and dynamics to describe the condensation.Firstly paticle distribution in ZRP model with different updating rules is discussed. In the course of system getting stable, we get different system paticle distribution at different time. A new parameterξis introduced and discussed. And by using the local coffecientξ, we can get the critical density which is accord with theoretically critical density with a method of numerical simulation in the system with random updating rule .We compare cricitical density with a method of numerical simulation in the system with different updating rule.Secondly we describe paticles in a one-dimesional ZRP with a single defect site ,the system is analysed in the grand canonical and canonical ensembles.In a one-dimesional ZRP,we get critical density with a method of numerical simulation by using the local coffecient.We study the system with many defect sites on the basis of a one-dimensional ZRP with a single defect site.We can get the critical density with a method of numerical simulation by using the local coffecientξ...