5 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…
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…