An infinite-period phase transition versus nucleation in a stochastic model of collective oscillations
| Autor: | Vladimir R. V. Assis, Ronald Dickman, Mauro Copelli |
|---|---|
| Rok vydání: | 2011 |
| Předmět: |
Statistics and Probability
Physics Phase transition Statistical Mechanics (cond-mat.stat-mech) Stochastic modelling Nucleation FOS: Physical sciences Non-equilibrium thermodynamics Statistical and Nonlinear Physics Nonlinear Sciences - Chaotic Dynamics Critical value Biological Physics (physics.bio-ph) Critical point (thermodynamics) Coupling parameter Physics - Data Analysis Statistics and Probability Quantum mechanics Physics - Biological Physics Chaotic Dynamics (nlin.CD) Statistics Probability and Uncertainty Condensed Matter - Statistical Mechanics Data Analysis Statistics and Probability (physics.data-an) Stationary state |
| Zdroj: | Journal of Statistical Mechanics: Theory and Experiment. 2011:P09023 |
| ISSN: | 1742-5468 |
| DOI: | 10.1088/1742-5468/2011/09/p09023 |
| Popis: | A lattice model of three-state stochastic phase-coupled oscillators has been shown by Wood et al (2006 Phys. Rev. Lett. 96 145701) to exhibit a phase transition at a critical value of the coupling parameter, leading to stable global oscillations. We show that, in the complete graph version of the model, upon further increase in the coupling, the average frequency of collective oscillations decreases until an infinite-period (IP) phase transition occurs, at which point collective oscillations cease. Above this second critical point, a macroscopic fraction of the oscillators spend most of the time in one of the three states, yielding a prototypical nonequilibrium example (without an equilibrium counterpart) in which discrete rotational (C_3) symmetry is spontaneously broken, in the absence of any absorbing state. Simulation results and nucleation arguments strongly suggest that the IP phase transition does not occur on finite-dimensional lattices with short-range interactions. Comment: 15 pages, 8 figures |
| Databáze: | OpenAIRE |
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