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
URL:
http://dx.doi.org/10.1007/BF01011479
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