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math.PR2025
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…
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…