Lecture 1: August 22, Tuesday, 4:00 PM
Title: The importance of large deviations in non equilibrium systems
Large deviations functions appear almost everywhere in Statistical Physics, in particular when one tries to quantify the frequency of rare events. Already the notion of free energy can be viewed as a large deviation function. Several well established properties of non equilibrium physics, such as the fluctuation theorem, can be formulated as a symmetry of a large deviation function. After a short review of these general properties, the talk will present a series of recent results on the large deviation function of the density and of the current of simple models of non equilibrium physics.
Lecture 2: August 23, Wednesday, 9:30 AM
Lecture 3: August 24, Thursday, 9:30 AM
Title: Current fluctuations in diffusive open systems
These lectures will try to explain several approaches, both microscopic and macroscopic, to calculate the fluctuations and the large deviation functions of the current in non equilibrium diffusive systems. In steady state situations, one can obtain explicit expressions of these large deviation functions for diffusive systems. Less is known in non steady state situations or for non diffusive systems and the lectures will try to list a series of open questions.
This lecture series is part of Large deviation theory in statistical physics: Recent advances and future challenges