147 citations · 512 across the 39 of their papers we have counts for
5 papers · 2 filters
Equilibrium fluctuations for the slow boundary exclusion process
Tertuliano Franco, Adriana Neumann, Patrícia Gonçalves
We prove that the equilibrium fluctuations of the symmetric simple exclusion process in contact with slow boundaries is given by an Ornstein-Uhlenbeck process with Dirichlet, Robin…
Weakly harmonic oscillators perturbed by a conservative noise
Cedric Bernardin, Patricia Goncalves, Milton Jara
We consider a chain of weakly harmonic coupled oscillators perturbed by a conservative noise. We show that by tuning accordingly the coupling constant energy can diffuse like a Bro…
Non-equilibrium and stationary fluctuations of a slowed boundary symmetric exclusion
Tertuliano Franco, Patrícia Gonçalves, Adriana Neumann
We consider a one-dimensional symmetric simple exclusion process in contact with slowed reservoirs: at the left (resp. right) boundary, particles are either created or removed at r…
Interpolation process between standard diffusion and fractional diffusion
Cédric Bernardin, Patricia Gonçalves, Milton Jara +1
We consider a Hamiltonian lattice field model with two conserved quantities, energy and volume, perturbed by stochastic noise preserving the two previous quantities. It is known th…
Convergence to the Stochastic Burgers Equation from a degenerate microscopic dynamics
Oriane Blondel, Patricia Gonçalves, Marielle Simon
In this paper we prove the convergence to the stochastic Burgers equation from one-dimensional interacting particle systems, whose dynamics allow the degeneracy of the jump rates.…