# Slow to fast infinitely extended reservoirs for the symmetric exclusion process with long jumps

@article{Bernardin2017SlowTF, title={Slow to fast infinitely extended reservoirs for the symmetric exclusion process with long jumps}, author={C'edric Bernardin and Patr{\'i}cia Gonçalves and Byron Oviedo Jimenez}, journal={arXiv: Probability}, year={2017} }

We consider an exclusion process with long jumps in the box $\Lambda_N=\{1, \ldots,N-1\}$, for $N \ge 2$, in contact with infinitely extended reservoirs on its left and on its right. The jump rate is described by a transition probability $p(\cdot)$ which is symmetric, with infinite support but with finite variance. The reservoirs add or remove particles with rate proportional to $\kappa N^{-\theta}$, where $\kappa>0$ and $\theta \in\mathbb R$. If $\theta>0$ (resp. $\theta<0$) the reservoirs add…

## 22 Citations

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