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math.PR2024
Exclusion processes with non-reversible boundary: hydrodynamics and large deviations
Claudio Landim, João Pedro Mangi, Beatriz Salvador
We consider a one-dimensional exclusion dynamics in mild contact with boundary reservoirs. In the diffusive scale, the particles' density evolves as the solution of the heat equati…
math.PR2024
On the correlations of some microscopic random systems
P. Gonçalves, B. Salvador
We investigate the two-points correlation function for several boundary-driven interacting particle systems. Our goal is to show that the time evolution of that correlation functio…
math.PR2023
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…