We consider ASEP on a bounded interval and on a half‐line with sources and sinks. On the
full line, Bertini and Giacomin in 1997 proved convergence under weakly asymmetric …

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 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 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 asymmetric simple exclusion process (ASEP) on the one-dimensional finite
lattice {1, 2,…, N}. The particles can be created/annihilated at the boundaries with given …

We study the scaling properties of the non-equilibrium stationary states (NESS) of a reaction-
diffusion model. Under a suitable smallness condition, we show that the density of particles …

We study the hydrodynamic behaviour of the asymmetric simple exclusion process on the
lattice of size n. In the bulk, the exclusion dynamics performs rightward flux. At the …