Séminaire de Physique ThéoriqueTwo aspects of out-of-equilibrium models
Nicolas Crampé (Montpellier)
Thursday 25 June 2015 14:00 - Tours - Salle 1180 (Bât E2)
After an introduction on out-of-equilibrium models and integrability, I compare two different approaches developed to compute the stationary state for one-dimensional exclusion processes. Firstly, I present the matrix ansatz which provides the stationary state in the form of an exact matrix product state. Then, I show how the correlation functions may be obtained thanks to algebraic manipulations. Secondly, I discuss the integrability of such models and explain the difficulties to solve them with usual 'integabilist' methods. After the presentation of these known methods, I explain the different connections between these two approaches we found recently with my collaborators (K.Mallick (CEA,Saclay) and E.Ragoucy, M.Vanicat (LAPTh)).