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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Journal of statistical physics 21 (1979), S. 33-50 
    ISSN: 1572-9613
    Keywords: Benard convection ; Volterra equations ; symmetry breaking ; nonequilibrium fluctuations
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We consider a dynamical system described by a set of random variablesN| i(t) and depending on a parameterR controlling its stability. IfR 〈 R c the system is stable and theN i have some symmetry properties in the statistical sense (i.e., with respect to time averaging). IfR 〉 R c the system is unstable and the nonlinear dynamics of theN i may lead to an asymptotic stationary state which does not possess the symmetries of the stable system. We show that the dynamics of symmetry breaking resembles a phase transition in the limit of many variables.
    Type of Medium: Electronic Resource
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