16 citations · 21 across the 10 of their papers we have counts for
10 papers
Hydrodynamic limit for some gradient and attractive spin models
Chiara Franceschini, Patrícia Gonçalves, Kohei Hayashi +1
We study the hydrodynamic limit for three gradient spin models: generalized Kipnis-Marchioro-Presutti (KMP), its discrete version and a family of harmonic models, under symmetric a…
Characterization of Gradient Condition for Asymmetric Partial Exclusion Processes and Their Scaling Limits
Patrícia Gonçalves, Kohei Hayashi, Makiko Sasada
We consider partial exclusion processes~(PEPs) on the one-dimensional square lattice, that is, a system of interacting particles where each particle random walks according to a jum…
Space-time fluctuations in a quasi-static limit
C. Bernardin, P. Gonçalves, S. Olla
We consider the macroscopic limit for the space-time density fluctuations in the open symmetric simple exclusion in the quasi-static scaling limit. We prove that the distribution o…
Hydrodynamic limit of the multi-component slow boundary WASEP with collisions
Oslenne Araújo, Patrícia Gonçalves, Alexandre B. Simas
In this article, we study the hydrodynamic limit for a stochastic interacting particle system whose dynamics consists in a superposition of several dynamics: the exclusion rule, th…
Diffusive fluctuations of long-range symmetric exclusion with a slow barrier
Pedro Cardoso, Patrícia GonÇAlves, Byron JimÉnez-Oviedo
In this article we obtain the equilibrium fluctuations of a symmetric exclusion process in with long jumps. The transition probability of the jump from to is p…
Hydrodynamic behavior of long-range symmetric exclusion with a slow barrier: superdiffusive regime
Pedro Cardoso, Patrícia Gonçalves, Byron Jiménez-Oviedo
We analyse the hydrodynamical behavior of the long jumps symmetric exclusion process in the presence of a slow barrier. The jump rates are given by a symmetric transition probabili…
Hydrodynamic behavior of long-range symmetric exclusion with a slow barrier: diffusive regime
Pedro Cardoso, Patrícia Gonçalves, Byron Jiménez-Oviedo
In this article we analyse the hydrodynamical behavior of the symmetric exclusion process with long jumps and in the presence of a slow barrier. The jump rates for fast bonds are g…
Hydrodynamic limit of an exclusion process with vorticity
Leonardo De Carlo, Davide Gabrielli, Patrícia Gonçalves
We construct a non reversible exclusion process with Bernoulli product invariant measure and having, in the diffusive hydrodynamic scaling, a non symmetric diffusion matrix, that c…
Symmetric inclusion process with slow boundary: hydrodynamics and hydrostatics
Chiara Franceschini, Patrícia Gonçalves, Federico Sau
We study the hydrodynamic and hydrostatic limits of the one-dimensional open symmetric inclusion process with slow boundary. Depending on the value of the parameter tuning the inte…
Hydrodynamic limit for a boundary driven super-diffusive symmetric exclusion
Cédric Bernardin, Pedro Cardoso, Patricia Gonçalves +1
We study the hydrodynamic limit for a model of symmetric exclusion processes with heavy-tailed long jumps and in contact with infinitely extended reservoirs. We show how the corres…