64 citations · 104 across the 6 of their papers we have counts for
8 papers
CLT for NESS of a reaction-diffusion model
P. Gonçalves, M. Jara, R. Marinho +1
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 par…
Sharp Convergence to Equilibrium for the SSEP with Reservoirs
Patrícia Gonçalves, Milton Jara, Rodrigo Marinho +1
We consider the symmetric simple exclusion process evolving on the interval of length in contact with reservoirs of density at the boundary. We use Yau's relativ…
Variable speed symmetric random walk driven by symmetric exclusion
Otávio Menezes, Jonathon Peterson, Yongjia Xie
We prove a quenched functional central limit theorem for a one-dimensional random walk driven by a simple symmetric exclusion process. This model can be viewed as a special case of…
Non-equilibrium Fluctuations of Interacting Particle Systems
Milton Jara, Otávio Menezes
We obtain the large scale limit of the fluctuations around its hydrodynamic limit of the density of particles of a weakly asymmetric exclusion process in dimension up to three. The…
Non-equilibrium and stationary fluctuations for the SSEP with slow boundary
Patrícia Gonçalves, Milton Jara, Otávio Menezes +1
We derive the non-equilibrium fluctuations of one-dimensional symmetric simple exclusion processes in contact with slowed stochastic reservoirs which are regulated by a factor $n^{…
Non-equilibrium fluctuations for a reaction-diffusion model via relative entropy
Milton Jara, Otávio Menezes
We look at a superposition of symmetric simple exclusion and Glauber dynamics in the discrete torus in dimension 1. For this model, we prove that the fluctuations around the hydrod…
Symmetric exclusion as a random environment: invariance principle
Milton Jara, Otávio Menezes
We establish an invariance principle for a one-dimensional random walk in a dynamical random environment given by a speed-change exclusion process. The jump probabilities of the wa…
Exclusion process with slow boundary
Rangel Baldasso, Otávio Menezes, Adriana Neumann +1
We study the hydrodynamic and the hydrostatic behavior of the Simple Symmetric Exclusion Process with \emph{slow boundary}. The term \emph{slow boundary} means that particles can b…