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Deterministic and Stochastic Becker–Döring Equations: Past and Recent Mathematical Developments

In: Stochastic Processes, Multiscale Modeling, and Numerical Methods for Computational Cellular Biology

Author

Listed:
  • E. Hingant

    (Universidad del Bío-Bío, Departamento de Matemática)

  • R. Yvinec

    (UMR85 Physiologie de la Reproduction et des Comportements, CR2 INRA
    IFCE, CNRS-Université François-Rabelais UMR7247)

Abstract

Becker and Dörimy introduced their equations in 1935 to describes nucleation in supersaturated vapors. Since then, these equations have been popularized to a wide range of applications and Slemrod in 2000 said they “provide perhaps the simplest kinetic model to describe [...] phase transitions”. In this survey we attempt to give an overview of the results obtained on these equations in the parts decades until today. Particularly we gathered results on both deterministic and stochastic versions of the Becker–Dörimy equations.

Suggested Citation

  • E. Hingant & R. Yvinec, 2017. "Deterministic and Stochastic Becker–Döring Equations: Past and Recent Mathematical Developments," Springer Books, in: David Holcman (ed.), Stochastic Processes, Multiscale Modeling, and Numerical Methods for Computational Cellular Biology, pages 175-204, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-62627-7_9
    DOI: 10.1007/978-3-319-62627-7_9
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