Stochastic Becker-Döring model: large population and large time results for phase transition phenomena

Speaker: Romain Yvinec (Université de Tours)

Abstract: We present results on a stochastic version of a well-known kinetic nucleation model for phase transition phenomena. In the Becker-Döring model, aggregates grow or shrink by addition or removal of one-by-one particle at a time. Under certain conditions, very large aggregates emerge and are interpreted as a phase transition. We study stationary and quasi-stationary properties of the stochastic Becker-Döring model in the limit of infinite total number of particles, and compare with results from the deterministic nucleation theory. Our findings are largely inspired from recent results from stochastic chemical reaction network theory.