Seminar
Q-operator techniques for the asymmetric simple exclusion process
by Alexandre Lazarescu (Ecole Polytechnique, Paris)
Location: B203/5 (MdeHemptinne), Louvain-la-Neuve
Time: Thursday July 4, 2019 at
11:00
The Asymmetric Simple Exclusion Process, a classical particle gas model in 1D with hard-core interactions, is one of the most studied toy models in nonequilibrium statistical physics, in part due to the fact that it is integrable, hence solvable in principle. In this informal talk, I will present techniques that give access to certain key properties of the model, such as the generating function of the stationary current of particles. These techniques rely on the construction of a transfer matrix with two spectral parameters starting from basic elements of the Uq(Sl2) algebra, which can be identified with Baxter’s Q-operator, and whose spectrum verifies special q-differential equations that can be solved perturbatively.
