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Non-equilibrium and stationary fluctuations for the SSEP with slow boundary

2019; Elsevier BV; Volume: 130; Issue: 7 Linguagem: Inglês

10.1016/j.spa.2019.12.006

1879-209X

Patrícia Gonçalves, Milton Jara, Otávio Menezes, Adriana Neumann,

Advanced Thermodynamics and Statistical Mechanics

We derive the non-equilibrium fluctuations of one-dimensional symmetric simple exclusion processes in contact with stochastic reservoirs which are regulated by a factor n−θ. Depending on the range of θ we obtain processes with various boundary conditions. Moreover, as a consequence of the previous result, we deduce the non-equilibrium stationary fluctuations.The main ingredient to prove these results is the derivation of precise bounds on the two-point space–time correlation function, which are a consequence of precise bounds on the transition probabilities of some underlying random walks.