KINETIC THEORY FOR NON-EQUILIBRIUM LONG-RANGE INTERACTING SYSTEMS

by Dr Cesare Nardini (Ecole Normale Superieure (Lyon, France))

Monday 17 Feb 2014, 14:00 → 15:00 Europe/Rome

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

Long-range interacting systems (LRIs) include gravitational systems, low-density plasma, 2d and geophysical fluid models. In many physical contexts, LRIs are found to be out of equilibrium because of external drving. Fascinating examples are found in climate science where large scale structures (cyclons, jet streams,...) are maintaned by a balance between the energy injected by external sources and dissipation. To address the description of driven LRIs theoretically, we concentrate on models as simple as possible still retaining two main characteristics: long-range interactions and broken detailed balance. We present results both for particle systems and quasi-2d flows; we develop a kinetic theory able to describe accurately their dynamics when the mean state evolve slowly; the accuracy of the results obtained will be compared to direct numerical simulations. Ongoing work on large deviations theory to describe multistability and extreme events will also be sketched.