Fox and Hedgehog Seminar - 'Nonequilibrium physics: a walk on the wild side'

I will start with an overview of equilibrium statistical mechanics. Then we'll consider the myriad ways a system can be out of equilibrium and why equilibrium is a special place. I'll then present a few simple models that have been used to describe various nonequilibrium scenarios: nonequilibrium stationary states; boundary-induced phase transitions and condensation transitions. These models, such as asymmetric exclusion process, zero-range process, persistent random walkers, often originated in the probabilistic literature but found purpose and became better known in non-equilibrium physics. I'll give a flavour of the mathematics that has been used in the solution of these models and the mathematics that has resulted from their solution.