Metastability in the Hamiltonian mean field model and Kuramoto model

Alessandro Pluchino and Andrea Rapisarda

Physica A: Statistical Mechanics and its Applications, 2006, vol. 365, issue 1, 184-189

Abstract: We briefly discuss the state of the art on the anomalous dynamics of the Hamiltonian mean field (HMF) model. We stress the important role of the initial conditions for understanding the microscopic nature of the intriguing metastable quasi-stationary states (QSS) observed in the model and the connections to Tsallis statistics and glassy dynamics. We also present new results on the existence of metastable states in the Kuramoto model and discuss the similarities with those found in the HMF model. The existence of metastability seems to be quite a common phenomenon in fully coupled systems, whose origin could be also interpreted as a dynamical mechanism preventing or hindering synchronization.

Keywords: Metastability; Coupled oscillators; Anomalous dynamics; Tsallis statistics; Glassy dynamics; Synchronization (search for similar items in EconPapers)
Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:365:y:2006:i:1:p:184-189

DOI: 10.1016/j.physa.2006.01.039

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