Exact response theory and Kuramoto dynamics

DOI10.1016/j.physd.2021.133076OpenAlexW3208903225MaRDI QIDQ2077836

Matteo Colangeli, Astrid Correa, Lamberto Rondoni, Debora Amadori

Publication date: 22 February 2022

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.09092

zbMATH Keywords

synchronizationcollective behaviorexact response theoryKuramoto dynamics

Mathematics Subject Classification ID

Dynamical systems and ergodic theory (37-XX) Statistical mechanics, structure of matter (82-XX)

Related Items (1)

On some aspects of the response to stochastic and deterministic forcings

Cites Work

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• On typicality in nonequilibrium steady states
• Asymptotic formation and orbital stability of phase-locked states for the Kuramoto model
• Equilibrium, fluctuation relations and transport for irreversible deterministic dynamics
• Synchronization in complex networks of phase oscillators: a survey
• Collective synchronization of classical and quantum oscillators
• Chemical oscillations, waves, and turbulence
• Nonequilibrium linear response for Markov dynamics. I: Jump processes and overdamped diffusions
• On the complete phase synchronization for the Kuramoto model in the mean-field limit
• From Kuramoto to Crawford: Exploring the onset of synchronization in population of coupled oscillators
• A shocking display of synchrony
• Dynamical ensembles in stationary states.
• General linear response formula in statistical mechanics, and the fluctuation-dissipation theorem far from equilibrium
• Synchronization analysis of Kuramoto oscillators
• The steady state fluctuation relation for the dissipation function
• Probability of second law violations in shearing steady states
• A meaningful expansion around detailed balance
• A dynamical-systems interpretation of the dissipation function, T-mixing and their relation to thermodynamic relaxation
• Elements of a unified framework for response formulae
• Statistical Mechanics of Nonequilibrium Liquids
• Statistical Physics of Synchronization
• Non-equilibrium steady states: fluctuations and large deviations of the density and of the current
• The mathematics of asymptotic stability in the Kuramoto model
• A diffusive system driven by a battery or by a smoothly varying field

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