Metastability in the Hamiltonian Mean Field model and Kuramoto model

Details Metastability in the Hamiltonian Mean Field model and Kuramoto model Metastability in the Hamiltonian Mean Field model and Kuramoto model

2005-11-23

arxiv.org/abs/cond-mat/0511570v1

Physica A 365 (2006) 184

Physics

Condensed Matter

Statistical Mechanics

5 pages 3 figures. Talk presented at the international conference NEXT Sigma Phi 05, 13-18 August 2005 Kolymbari, Crete. To be

Scientific paper

10.1016/j.physa.2006.01.039

We briefly discuss the state of the art on the anomalous dynamics of the Hamiltonian Mean Field model. We stress the important role of the initial conditions for understanding the microscopic nature of the intriguing metastable quasi stationary states 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 seem to be quite a common phenomenon in fully coupled systems, whose origin could be also interpreted as a dynamical mechanism preventing or hindering sinchronization.

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