147 citations · 512 across the 39 of their papers we have counts for
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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…
The Einstein relation for the KPZ equation
Patricia Gonçalves, Milton Jara
We compute the non-universal constants in the KPZ equation in one dimension, in terms of the thermodynamical quantities associated to the underlying microscopic dynamics. In partic…
Scalings limits for the exclusion process with a slow site
Tertuliano Franco, Patrícia Gonçalves, Gunter M. Schütz
We consider the symmetric simple exclusion processes with a slow site in the discrete torus with sites. In this model, particles perform nearest-neighbor symmetric random walks…
3/4 Fractional superdiffusion of energy in a system of harmonic oscillators perturbed by a conservative noise
Cedric Bernardin, Patricia Gonçalves, Milton Jara
We consider a harmonic chain perturbed by an energy conserving noise and show that after a space-time rescaling the energy-energy correlation function is given by the solution of a…