2 papers
math.PR2026
Fractional Macroscopic Fluctuation Theory for a Superdiffusive Ginzburg-Landau dynamics
Cedric Bernardin, Patricia Gonçalves, João Pedro Mangi
We investigate a boundary-driven Ginzburg-Landau dynamics with long-range interactions. In the hydrodynamic limit, the macroscopic evolution is governed by a fractional heat equati…
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…