5 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…
Nonlinear fluctuations for a chain of weakly anharmonic oscillators with stochastic perturbation
Kohei Hayashi, Stefano Olla
We study the fluctuations of the phonon modes in a one-dimensional chain of anharmonic oscillators where the deterministic Hamiltonian dynamics is perturbed by random exchanges of…
Hydrodynamic limit for some gradient and attractive spin models
Chiara Franceschini, PatrÃcia Gonçalves, Kohei Hayashi +1
We study the hydrodynamic limit for three gradient spin models: generalized Kipnis-Marchioro-Presutti (KMP), its discrete version and a family of harmonic models, under symmetric a…
Stochastic oscillators out of equilibrium: scaling limits and correlation estimates
PatrÃcia Gonçalves, Kohei Hayashi, João Pedro Mangi
We consider a purely harmonic chain of oscillators which is perturbed by a stochastic noise. Under this perturbation, the system exhibits two conserved quantities: the volume and t…
Characterization of Gradient Condition for Asymmetric Partial Exclusion Processes and Their Scaling Limits
PatrÃcia Gonçalves, Kohei Hayashi, Makiko Sasada
We consider partial exclusion processes~(PEPs) on the one-dimensional square lattice, that is, a system of interacting particles where each particle random walks according to a jum…