1er étage bâtiment Braconnier, Université Claude Bernard Lyon 1 - La Doua
Description
Out-of-equilibrium systems is a "hot" topics of Statistical Physics. Although an equilibrium state obviously doesn’t exist in such cases, one looks for "steady states" which characterize the system at large time. For Markovian process the construction of these states is usually done using a so-called matrix product ansatz, based on the DEHP algebra or its generalizations. Surprisingly enough, one can present the matrix product ansatz from the integrability point of view. This can be done on very general grounds, allowing to formulate explicitly the ansatz for different models.
We illustrate the technique on a reaction-diffusion model.
