17 papers · 1 filter
Degree-preserving conservative processes and a unified approach for their hydrodynamics
Chiara Franceschini, PatrÃcia Gonçalves, Kohei Hayashi +1
We investigate a broad class of large-scale one-dimensional interacting systems characterized by a single conservation law and satisfying the "degree-preserving property". Under mi…
Finite reservoirs lead to Wentzell boundary conditions for independent random walks and exclusion process
Matheus Franco, Tertuliano Franco, PatrÃcia Gonçalves
We analyze the scaling limits (hydrodynamic limit/propagation of local equilibrium) of two particle systems in the discrete one-dimensional segment where the left boundary is in co…
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…
Fluctuations of the Boundary-Driven Symmetric Zero-Range Process from the NESS
PatrÃcia Gonçalves, Adriana Neumann, Maria Chiara Ricciuti
We study the non-equilibrium stationary fluctuations of a symmetric zero-range process on the discrete interval coupled to reservoirs at sites and , w…
Derivation of stochastic Burgers on the line with a Dirichlet boundary condition at the origin
Cédric Bernardin, Ana Djurdjevac, Patricia Gonçalves +1
We analyze the \emph{equilibrium fluctuations} of a Hamiltonian chain of oscillators on \(\mathbb{Z}\) with an exponential potential, perturbed by a conservative, symmetric noise.…
Non-equilibrium fluctuations for the stirring process with births and deaths
Panagiota Birmpa, PatrÃcia Gonçalves, Dimitrios Tsagkarogiannis
We consider the one-dimensional stirring process on the segment , coupled to boundary dynamics that inject particles from the right reservoir and remove particles…