Statistical Physics of Synchronization

DOI10.1007/978-3-319-96664-9zbMath1407.82003OpenAlexW2889109014MaRDI QIDQ4687708

Stefano Ruffo, Shamik Gupta, Alessandro Campa

Publication date: 12 October 2018

Published in: SpringerBriefs in Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-96664-9

zbMATH Keywords

Fokker-Planck equationsynchronizationsecond-order dynamicsKuramoto modelWinfree modelnonequilibrium phase transitionsKramers equationfrequency distributionslimit-cycle oscillatorsquenched randomnessslow relaxationsgeneralized Kuramoto modelmean-field XY modelnoiseless interacting oscillatorsone-body distribution function in the \(N\)-body systemoscillators with inertia and noiseOtt-Antonsen solutionsignatures of phase transitionstatistical physics recasting of synchronizationsynchronized stationary state

Mathematics Subject Classification ID

Stationary stochastic processes (60G10) Interacting particle systems in time-dependent statistical mechanics (82C22) Research exposition (monographs, survey articles) pertaining to statistical mechanics (82-02) Phase transitions (general) in equilibrium statistical mechanics (82B26) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05) Physics (00A79) Synchronization of solutions to ordinary differential equations (34D06)

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