4 papers
Hydrodynamics of a -dimensional long jumps symmetric exclusion with a slow barrier
Pedro Cardoso, Patrícia 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…
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…