The Exclusion Process: A paradigm for non-equilibrium behaviour

Kirone Mallick (1)

1 IPHT - Institut de Physique Théorique - UMR CNRS 3681

In these lectures, we shall present some remarkable results that have been obtained for systems far from equilibrium during the last two decades. We shall put a special emphasis on the concept of large deviation functions that provide us with a unified description of many physical situations. These functions are expected to play, for systems far from equilibrium, a role akin to that of the thermodynamic potentials. These concepts will be illustrated by exact solutions of the Asymmetric Exclusion Process, a paradigm for non-equilibrium statistical physics.

Mots clés: Large deviations; Bethe Ansatz; ASEP; Current fluctuations

Domaines: Physique [physics]

Kirone Mallick. The Exclusion Process: A paradigm for non-equilibrium behaviour. Physica A: Statistical Mechanics and its Applications, 2015, 418, pp.17-48. ⟨10.1016/j.physa.2014.07.046⟩. ⟨cea-01307568⟩