5 papers · 1 filter
Equilibrium fluctuations for a multi-species particle system with long jumps
Giuseppe Cannizzaro, Pedro Cardoso, Lukas Gräfner +1
In the present paper, we study the equilibrium fluctuations of a particle system in infinite volume with two conserved quantities and long-range dependence. More specifically, the…
Derivation of non-polynomial fractional diffusions from the generalized exclusion with a slow barrier
Pedro Cardoso, PatrÃcia Gonçalves, Gabriel Nahum
In this article we derive in the hydrodynamic limit a generalized fractional porous medium equation, in the sense that the regional fractional Laplacian is applied to a function of…
Regional Fractional Stochastic Burgers from random interactions
Pedro Cardoso, PatrÃcia Gonçalves
The purpose of this article is to derive the crossover from the Ornstein-Uhlenbeck process to energy solutions of the stochastic Burgers equation with characteristic operators give…
Linear and Nonlinear Fractional PDEs from interacting particle systems
Pedro Cardoso, PatrÃcia Gonçalves
In these notes, we describe the strategy for the derivation of the hydrodynamic limit for a family of long range interacting particle systems of exclusion type with symmetric rates…
Hydrodynamics of a -dimensional long jumps symmetric exclusion with a slow barrier
Pedro Cardoso, PatrÃcia Gonçalves, Byron Jiménez-Oviedo
We obtain the hydrodynamic limit of symmetric long-jumps exclusion in (for ), where the jump rate is inversely proportional to a power of the jump's length…