ANOMALOUS FLUCTUATIONS FOR A PERTURBED HAMILTONIAN SYSTEM WITH EXPONENTIAL INTERACTIONS

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

1 UMPA-ENSL - Unité de Mathématiques Pures et Appliquées
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

Mots clés: Interacting particles system; Anomalous diffusion; heat conduction

Domaines: Mécanique statistique [cond-mat.stat-mech]; Probabilités [math.PR]

Cedric Bernardin, P. Gonçalves. ANOMALOUS FLUCTUATIONS FOR A PERTURBED HAMILTONIAN SYSTEM WITH EXPONENTIAL INTERACTIONS. 2012. ⟨ensl-00695381v1⟩