January 15 2015

18.-20.01.2015: Visit of Cesare Nardini

Cesare Nardini (University of Edinburgh, GB) visits us and will give a talk about "KINETIC THEORY FOR NON-EQUILIBRIUM LONG-RANGE INTERACTING SYSTEMS" on Tuesday @9.15 in room 4.18 in our group seminar.

Abstract:

Long-range interacting systems include gravitational systems, plasma in the low density limit, two-dimensional and geophysical fluid models. This talks describes our recent works on simple models of long-range interacting systems driven out of equilibrium by external forces.

In many physical context, long-range interacting systems are found to be out of equilibrium because of external drving. Examples come from climate dynamics, plasma physics, astrophysics and, recently, experimental setups with cold-atoms driven by laser light.

In order to address the description of driven long-range interacting systems in a theoretical way, we concentrate in this talk on models as simple as possible that still retain the following two main characteristics: non-local (i.e. long-range) nature of the interactions and broken detailed balance (i.e. non-equilibrium dynamics).

We present results both for particle systems and quasi two-dimensional flows and we show that their dynamics can be described very accurately in the limit where there is a separation of time-scales between the evolution of the mean state and the evolution of the fluctuations around it.
The main theoretical tool developed is kinetic theory: the accuracy of the results obtained will be compared to direct numerical simulations. Ongoing work and perspectives on a combination of kinetic theory and large deviations theory to describe bistability and rare events will also be described.



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