We revisit the one-dimensional model of the symmetric simple exclusion process slowly
coupled with two unequal reservoirs at the boundaries. In its non-equilibrium stationary …

We present the application of a fluctuating hydrodynamic theory to study current fluctuations
in diffusive systems on a semi-infinite line in contact with a reservoir with slow coupling. We …

We study the hydrodynamic limit for symmetric exclusion processes with heavy-tailed long
jumps and in contact with infinitely extended reservoirs. We show how the corresponding …

We consider the symmetric exclusion process with jumps given by a symmetric, translation
invariant, transition probability p (⋅). The process is put in contact with stochastic reservoirs …

We analyze the hydrodynamic behavior of the porous medium model (PMM) in a discrete
space {0, ..., n\} 0,…, n, where the sites 0 and n stand for reservoirs. Our strategy relies on …

We study the hydrodynamic and hydrostatic limits of the one-dimensional open symmetric
inclusion process with slow boundary. Depending on the value of the parameter tuning the …

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 …

We obtain the exact large deviation functions of the density profile and of the current, in the
non-equilibrium steady state of a one dimensional symmetric simple exclusion process …

We analyze the non-equilibrium fluctuations of the partial symmetric simple exclusion
process, SEP (α), which allows at most α∈ N particles per site, and we put it in contact with …

We consider the open symmetric exclusion (SEP) and inclusion (SIP) processes on a
bounded Lipschitz domain Ω, with both fast and slow boundary. For the random walks on Ω …