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

Author

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

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.

Suggested Citation

  • Schweitzer, Frank & Schimansky-Geier, Lutz & Ebeling, Werner & Ulbricht, Heinz, 1988. "A stochastic approach to nucleation in finite systems: Theory and computer simulations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 150(1), pages 261-279.
    • Handle: RePEc:eee:phsmap:v:150:y:1988:i:1:p:261-279
    DOI: 10.1016/0378-4371(88)90059-3
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    References listed on IDEAS

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    1. West, Bruce J. & Lindenberg, Katja & Seshadri, V., 1980. "Brownian motion of harmonic systems with fluctuating parameters," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 102(3), pages 470-488.
    2. Ebeling, W. & Schimansky-Geier, L., 1979. "Stochastic dynamics of a bistable reaction system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 98(3), pages 587-600.
    3. Joseph C. Donohue, 1979. "The library of congress: A proposed role in a national information and referral network," Journal of the American Society for Information Science, Association for Information Science & Technology, vol. 30(4), pages 202-204, July.
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