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Stochastic analysis of symmetry-breaking bifurcations: Master equation approach

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Abstract

The multivariate master equation for a general reaction-diffusion system is solved perturbatively, in the vicinity of a bifurcation point leading to symmetry-breaking transitions. The possibility to express the result through a Brazovskii type of potential is examined, and a comparison with the Langevin analysis of Walgraefet al. [Adv. Chem. Phys. 49:311 (1982)] is performed.

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Authors and Affiliations

  1. Laboratoire de Chimie Générale, Université Pierre et Marie Curie, 4, place Jussieu, 75 230, Paris Cedex 05, France

    H. Lemarchand

  2. Faculté des Sciences, Université Libre de Bruxelles, Campus Plaine, C.P. 226, 1050, Bruxelles, Belgium

    G. Nicolis

Authors
  1. H. Lemarchand
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  2. G. Nicolis
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Lemarchand, H., Nicolis, G. Stochastic analysis of symmetry-breaking bifurcations: Master equation approach. J Stat Phys 37, 609–629 (1984). https://doi.org/10.1007/BF01010498

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  • DOI: https://doi.org/10.1007/BF01010498

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