Volume 106, Number 4, May 2014
|Number of page(s)||6|
|Published online||23 May 2014|
Synchronization transitions in globally coupled rotors in the presence of noise and inertia: Exact results
1 Department of Physics and Astronomy, Potsdam University - Karl-Liebknecht-Str 24, D-14476, Potsdam, Germany
2 Department of Control Theory, Nizhni Novgorod University - Gagarin Av. 23, 606950, Nizhni Novgorod, Russia
3 Laboratoire de Physique Théorique et Modèles Statistiques (CNRS UMR 8626), Université Paris-Sud - Orsay, France
Received: 20 February 2014
Accepted: 28 April 2014
We study a generic model of globally coupled rotors that includes the effects of noise, phase shift in the coupling, and distributions of moments of inertia and natural frequencies of oscillation. As particular cases, the setup includes previously studied Sakaguchi-Kuramoto, Hamiltonian and Brownian mean-field, and Tanaka-Lichtenberg-Oishi and Acebrón-Bonilla-Spigler models. We derive an exact solution of the self-consistent equations for the order parameter in the stationary state, valid for arbitrary parameters in the dynamics, and demonstrate nontrivial phase transitions to synchrony that include reentrant synchronous regimes.
PACS: 05.45.Xt – Synchronization; coupled oscillators / 05.70.Fh – Phase transitions: general studies / 05.70.Ln – Nonequilibrium and irreversible thermodynamics
© EPLA, 2014
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