From diffusion to fractional superdiffusion in a Hamiltonian lattice field model with noise

Categoria: 
Seminari di Fisica Matematica
Data e ora inizio evento: 
Data e ora fine evento: 
Aula: 
Sala di Consiglio
Sede: 

Dipartimento di Matematica Guido Castelnuovo, Università Sapienza Roma

Speaker: 

Cedric Bernardin (Université Nice Sophia Antipolis & CNRS, France)

Abstract: We consider a Hamiltonian lattice field model perturbed by an energy conserving noise and show that after a space-time rescaling the energy-energy correlation function is given by the solution of a skew-fractional heat equation with exponent 3/4. We then investigate the validity of this result under some deterministic or stochastic perturbations.

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