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Analysis and Stochastics of Growth Processes and Interface Models$
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Peter Mörters, Roger Moser, Mathew Penrose, Hartmut Schwetlick, and Johannes Zimmer

Print publication date: 2008

Print ISBN-13: 9780199239252

Published to Oxford Scholarship Online: September 2008

DOI: 10.1093/acprof:oso/9780199239252.001.0001

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Nucleation and Droplet Growth as a Stochastic Process

Nucleation and Droplet Growth as a Stochastic Process

Chapter:
(p.265) 12 Nucleation and Droplet Growth as a Stochastic Process
Source:
Analysis and Stochastics of Growth Processes and Interface Models
Author(s):

Oliver Penrose

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199239252.003.0012

This chapter proposes a stochastic differential equation as the putative limit for a birth-and-death Markov chain model for the fluctuating size of a droplet, in a fluid, that is metastable with respect to nucleation of a new phase. This chapter uses the large deviations theory of Freidlin and Wentzell to give a variational analysis of the path properties of the solution to this stochastic differential equation, relating these results to the classical theory of Becker and Doring.

Keywords:   nucleation, birth-and-death process, diffusion limit, large deviations

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