2 papers
math.PR2025
Hydrodynamic limit for some gradient and attractive spin models
Chiara Franceschini, Patrícia 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…
math.PR2025
Stochastic oscillators out of equilibrium: scaling limits and correlation estimates
Patrícia 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…