Effective ergodicity breaking in an exclusion process with varying system length

摘要: Abstract Stochastic processes of interacting particles in systems with varying length are relevant e.g. for several biological applications. We try to explore what kind new physical effects one can expect such systems. As an example, we extend the exclusive queueing process that be viewed as a one-dimensional exclusion length, by introducing Langmuir kinetics. This interpreted effective model queue interacts other queues allowing incoming and leaving customers bulk. find surprising indications breaking ergodicity certain parameter regime, where asymptotic growth behavior depends on initial length. show random walk site-dependent hopping probabilities exhibits qualitatively same behavior.