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Metastability and anomalous behavior in the HMF Model: connections to nonextensive thermodynamics and glassy dynamics

A. Pluchino·A. Rapisarda·V. Latora
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Abstract

We review some of the most recent results on the dynamics of the Hamiltonian Mean Field (HMF) model, a systems of N planar spins with ferromagnetic infinite-range interactions. We show, in particular, how some of the dynamical anomalies of the model can be interpreted and characterized in terms of the weak-ergodicity breaking proposed in frameworks of glassy systems. We also discuss the connections with the nonextensive thermodynamics proposed by Tsallis.

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A. Pluchino, A. Rapisarda, V. Latora. 2005-07-01. Metastability and anomalous behavior in the HMF Model: connections to nonextensive thermodynamics and glassy dynamics. https://doi.org/10.1142/9789812701558_0011

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