A stochastic approach to nucleation in finite systems: Theory and computer simulations

Frank Schweitzer, Lutz Schimansky-Geier, Werner Ebeling and Heinz Ulbricht

Physica A: Statistical Mechanics and its Applications, 1988, vol. 150, issue 1, 261-279

Abstract: A stochastic theory is presented for nucleation and growth of clusters in a finite system. We consider a discrete cluster distribution for which the free energy and the equilibrium probability distribution are derived. The cluster growth and shrinkage occurs by the attachment/evaporation of free particles. The transition probabilities reflect that clusters of different sizes cannot evolve independently due to the limitation of the total particle number and the finite system size.

Date: 1988
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:150:y:1988:i:1:p:261-279

DOI: 10.1016/0378-4371(88)90059-3

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