Anomalous fluctuations for a perturbed hamiltonian system with exponential interactions

Cedric Bernardin (1) , P. Gonçalves (2)

1 JAD - Laboratoire Jean Alexandre Dieudonné
2 CMAT - Centro de Matemática [Minho]

A one-dimensional Hamiltonian system with exponential interactions perturbed by a conservative noise is considered. It is proved that energy superdiffuses and upper and lower bounds describing this anomalous diffusion are obtained

Keywords: Interacting particles system; Anomalous diffusion; heat conduction

Domains: Physics [physics]; Condensed Matter [cond-mat]; Statistical Mechanics [cond-mat.stat-mech]; Mathematics [math]; Probability [math.PR]

Cedric Bernardin, P. Gonçalves. Anomalous fluctuations for a perturbed hamiltonian system with exponential interactions. Communications in Mathematical Physics, 2013, pp.44. ⟨ensl-00695381v2⟩