38 citations · 59 across the 6 of their papers we have counts for
6 papers
Non-equilibrium fluctuations for SEP() with open boundary
C. Franceschini, P. Gonçalves, M. Jara +1
We analyze the non-equilibrium fluctuations of the partial symmetric simple exclusion process, SEP(), which allows at most particles per site, and we put it in…
From Exclusion to Slow and Fast Diffusion
Patricia Gonçalves, Gabriel Nahum, Marielle Simon
We construct a nearest-neighbour interacting particle system of exclusion type, which illustrates a transition from slow to fast diffusion. More precisely, the hydrodynamic limit o…
Weakly harmonic oscillators perturbed by a conservative noise
Cedric Bernardin, Patricia Goncalves, Milton Jara
We consider a chain of weakly harmonic coupled oscillators perturbed by a conservative noise. We show that by tuning accordingly the coupling constant energy can diffuse like a Bro…
From normal diffusion to superdiffusion of energy in the evanescent flip noise limit
Cédric Bernardin, Patricia Gonçalves, Milton Jara +2
We consider a harmonic chain perturbed by an energy conserving noise depending on a parameter . When is of order one, the energy diffuses according to the standard heat equa…
Occupation times of long-range exclusion and connections to KPZ class exponents
Cédric Bernardin, Patrícia Gonçalves, Sunder Sethuraman
With respect to a class of long-range exclusion processes on , with single particle transition rates of order , starting under Bernoulli invariant m…
Universality of KPZ equation
Patricia Goncalves, Milton Jara
We introduce the notion of energy solutions of the KPZ equation. Under minimal assumptions, we prove that the density fluctuations of one-dimensional, weakly asymmetric, conservati…