14 citations · 17 across the 4 of their papers we have counts for
5 papers
Static large deviations for a reaction-diffusion model
Jonathan Farfan, Claudio Landim, Kenkichi Tsunoda
We consider the superposition of a symmetric simple exclusion dynamics, speeded-up in time, with a spin-flip dynamics in a one-dimensional interval with periodic boundary condition…
Dynamical large deviations for a boundary driven stochastic lattice gas model with many conserved quantities
Jonathan Farfan, Alexandre B. Simas, Fabio J. Valentim
We prove the dynamical large deviations for a particle system in which particles may have different velocities. We assume that we have two infinite reservoirs of particles at the b…
Equilibrium fluctuations for gradient exclusion processes with conductances in random environments
Jonathan Farfan, Alexandre B. Simas, Fabio J. Valentim
We study the equilibrium fluctuations for a gradient exclusion process with conductances in random environments, which can be viewed as a central limit theorem for the empirical di…
Static large deviations of boundary driven exclusion processes
Jonathan Farfan
We prove that the stationary measure associated to a boundary driven exclusion process in any dimension satisfies a large deviation principle with rate function given by the quasi…
Hydrostatics and dynamical large deviations of boundary driven gradient symmetric exclusion
Jonathan Farfan, Claudio Landim, Mustapha Mourragui
We prove hydrostatics of boundary driven gradient exclusion processes, Fick's law and we present a simple proof of the dynamical large deviations principle which holds in any dimen…