ISSN:
1572-9613
Keywords:
Glauber dynamics
;
Potts model
;
Fokker-Planck equation
;
relaxation
;
period-doubling
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract We formulate a theory of single-spin-flip dynamics for the infinite-rangeq-state Potts model. We derive a Fokker-Planck equation, without diffusive term, from a phenomenological master equation. It describes the approach to equilibrium of the time-dependent probability density and thus generalizes Griffiths' (1966) result for the Ising model. We particularly compare the dynamic evolutions ofq=2 andq=3 systems when sinusoidal external fields are applied. In the caseq=2 we find evidence of a nonequilibrium phase transition and forq=3 period doubling bifurcations are observed, yielding a good estimate of Feigenbaum's universal exponent.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01048310
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