Nonequilibrium coupled Brownian phase oscillators

Details Nonequilibrium coupled Brownian phase oscillators Nonequilibrium coupled Brownian phase oscillators

2001-12-21

arxiv.org/abs/cond-mat/0112418v2

Physics

Condensed Matter

Statistical Mechanics

9 pages 8 figures

Scientific paper

10.1103/PhysRevE.65.051115

A model of globally coupled phase oscillators under equilibrium (driven by Gaussian white noise) and nonequilibrium (driven by symmetric dichotomic fluctuations) is studied. For the equilibrium system, the mean-field state equation takes a simple form and the stability of its solution is examined in the full space of order parameters. For the nonequilbrium system, various asymptotic regimes are obtained in a closed analytical form. In a general case, the corresponding master equations are solved numerically. Moreover, the Monte-Carlo simulations of the coupled set of Langevin equations of motion is performed. The phase diagram of the nonequilibrium system is presented. For the long time limit, we have found four regimes. Three of them can be obtained from the mean-field theory. One of them, the oscillating regime, cannot be predicted by the mean-field method and has been detected in the Monte-Carlo numerical experiments.

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