Orateur
Description
Exclusion Markov processes appear in various areas of science and can model a wide range of physical phenomena such as protein synthesis, traffic jams, constrained fluids, spin diffusion... Integrable exclusion Markov processes represent a small subfamily of exclusion Markov processes that can be studied analytically without relying on approximations. Finding such new processes that display rich physical behaviours is a difficult task.
In this talk, after recalling the basic formalism of exclusion Markov processes, I will introduce new processes that generalize the well known multi-species Symmetric Simple Exclusion Process (SSEP) by the addition of reactive particle species. I will mainly focus on the model called (p,1)-SSEP which is constructed from a set-theoretical solution of the Yang-Baxter equation. I will show that, as a consequence of integrability, various physical quantities can be expressed analytically.
This talk is based on arXiv:2607.18959 written with E. Ragoucy and L. Poulain d'Andecy.