Stochastic analysis of symmetry-breaking bifurcations: Master equation approach
type: Item
instance of: scholarly article
title: Stochastic analysis of symmetry-breaking bifurcations: Master equation approach
zbMATH Open document ID: 0588.58049
DOI: 10.1007/BF01010498
author: H. Lemarchand
author: Gregoire Nicolis
published in: Journal of Statistical Physics
publication date: 1984-01-01T00:00:00Z
review text: 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 Brazovskij type of potential is examined, and a comparison with the Langevin analysis of Walgraef et al. [Adv. Chem. Phys. 49, 311 (1982)] is performed.
Mathematics Subject Classification ID: 37G99
zbMATH DE Number: 3944916
zbMATH Keywords: fluctuations
zbMATH Keywords: symmetry breaking
zbMATH Keywords: bifurcations
zbMATH Keywords: multivariate master equation
zbMATH Keywords: reaction-diffusion system
zbMATH Keywords: Langevin analysis of Walgraef et al.
MaRDI profile type: Publication
cites work: Stochastic nonlinear systems in physics, chemistry, and biology. Proceedings of the Workshop, Bielefeld, Fed. Rep. of Germany, October 5- 11, 1980
cites work: Systematic analysis of the multivariate master equation for a reaction- diffusion system
full work available at URL: https://doi.org/10.1007/bf01010498
OpenAlex ID: W2026207637
description: scientific article; zbMATH DE number 3944916