Stochastic Becker-Döring model: large population and large time results for phase transition phenomena - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Conference Papers Year :

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

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.
Fichier principal
Vignette du fichier
yvinec_turin_2022.pdf (5.75 Mo) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-03727240 , version 1 (19-07-2022)

Identifiers

  • HAL Id : hal-03727240 , version 1

Cite

Romain Yvinec. Stochastic Becker-Döring model: large population and large time results for phase transition phenomena. Chemical Reaction Networks Workshop, Jul 2022, Turin, Italy. ⟨hal-03727240⟩
8 View
12 Download

Share

Gmail Facebook Twitter LinkedIn More