Synchronization transitions in globally coupled rotors in the presence of noise and inertia: Exact results
- 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 Acebron-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. Copyright (C) EPLA, 2014
Author details: | Maxim Komarov, Shamik Gupta, Arkadij PikovskijORCiDGND |
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DOI: | https://doi.org/10.1209/0295-5075/106/40003 |
ISSN: | 0295-5075 |
ISSN: | 1286-4854 |
Title of parent work (English): | epl : a letters journal exploring the frontiers of physics |
Publisher: | EDP Sciences |
Place of publishing: | Mulhouse |
Publication type: | Article |
Language: | English |
Year of first publication: | 2014 |
Publication year: | 2014 |
Release date: | 2017/03/27 |
Volume: | 106 |
Issue: | 4 |
Number of pages: | 6 |
Funding institution: | Alexander von Humboldt Foundation; Indo-French Centre for the Promotion of Advanced Research [4604-3] |
Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
Peer review: | Referiert |