Long time dynamics and disorder-induced traveling waves in the stochastic Kuramoto model

DOI10.1214/16-AIHP753zbMath1386.60323arXiv1505.00497OpenAlexW2964065597MaRDI QIDQ2403218

Eric Luçon, Christophe Poquet

Publication date: 15 September 2017

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.00497

zbMATH Keywords

stochastic partial differential equationstraveling waveslong time dynamicsdisordered modelsKuramoto synchronization modelmean-field particle systemsnonlinear Fokker-Planck PDE

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Neural networks for/in biological studies, artificial life and related topics (92B20) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Dynamics of disordered systems (random Ising systems, etc.) in time-dependent statistical mechanics (82C44) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26)

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