Metastability and anomalous behavior in the HMF Model: connections to nonextensive thermodynamics and glassy dynamics
arXiv:cond-mat/0507005 · doi:10.1142/9789812701558_0011
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.
arXiv comment12 pages. Talk presented at the International conference "Complexity, Metastability and Nonextensivity", July 20-26 2004, Erice, Sicily. To be published in the proceedings edited by C. Beck, G. Benedek, A. Rapisarda and C. Tsallis, World Scientific (2005)