The asymmetric exclusion process: an integrable model for non-equilibrium statistical physics
Kirone Mallick (CEA-Saclay)
Tuesday 29th January, 2013 15:00-16:00 Maths 416
The asymmetric simple exclusion process (ASEP) is a model used as a template to study various aspects of non-equilibrium statistical physics. It appears as a building block in more realistic descriptions for low-dimensional transport with constraints. In the steady state, a non-vanishing current is carried through the system. The statistical properties of this current are archetypal observables for non-equilibrium behaviour. It this talk, I shall review some properties of the ASEP and focus on exact results obtained recently about the full statistics of the current. Our results are obtained using integrability techniques borrowed from the theory of quantum integrable systems such as the Bethe Ansatz and the Matrix Product Representation.