Large Hamiltonian Systems with Long range Interactions

by Dr Julien Barré (Laboratoire J. A. Dieudonné Université de Nice-Sophia Antipolis, Nice, France)

Thursday 21 May 2009, 17:00 → 19:00 Europe/Rome

Aula Corbino (Dipartimento di Fisica - Ed E.Fermi)

Hamiltonian systems with long range interactions appear in many different branches of physics, from self-gravitating systems to 2D turbulence and wave-particle interactions. Albeit obviously very different, these systems do share some common phenomenology, at the level of equilibrium statistiscal mechanics and kinetic theory. In this talk, I will focus on the statistical equilibrium and its peculiarities in presence of long range interactions, like negative specific heat and inequivalence beteween ensembles, reviewing the well developed general theory and insisting on some recent progresses: inequivalence of ensembles on random graphs, and dynamical timescales near ergodicity breaking transitions. In both cases, the role of large deviation theory will be emphasized.