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A d-dimensional nucleation and growth model
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  • Published: 15 December 2011

A d-dimensional nucleation and growth model

  • Raphaël Cerf1 &
  • Francesco Manzo2 

Probability Theory and Related Fields volume 155, pages 427–449 (2013)Cite this article

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  • 5 Citations

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Abstract

We analyze the relaxation time of a ferromagnetic d-dimensional growth model on the lattice. The model is characterized by d parameters which represent the activation energies of a site, depending on the number of occupied nearest neighbours. This model is a natural generalisation of the model studied by Dehghanpour and Schonmann (Probab Theory Relat Fields. 107(1):123–135, 1997), where the activation energy of a site with more than two occupied neighbours is zero.

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Author information

Authors and Affiliations

  1. Université Paris Sud et IUF, Mathématique, Bâtiment 425, 91405, Orsay Cedex, France

    Raphaël Cerf

  2. Dipartimento di Matematica, Università di Roma Tre, Largo S. Leonardo Murialdo, 1, 00146, Rome, Italy

    Francesco Manzo

Authors
  1. Raphaël Cerf
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  2. Francesco Manzo
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Corresponding author

Correspondence to Raphaël Cerf.

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Cite this article

Cerf, R., Manzo, F. A d-dimensional nucleation and growth model. Probab. Theory Relat. Fields 155, 427–449 (2013). https://doi.org/10.1007/s00440-011-0402-3

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  • Received: 22 January 2010

  • Revised: 19 April 2011

  • Published: 15 December 2011

  • Issue Date: February 2013

  • DOI: https://doi.org/10.1007/s00440-011-0402-3

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Mathematics Subject Classification (2000)

  • 60K35
  • 82C05
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