Glassy phase in the Hamiltonian Mean Field model
Statistical Mechanics
2016-08-31 v4 Chaotic Dynamics
Nuclear Theory
Abstract
We study the relaxation dynamics of a Hamiltonian system of N fully-coupled XY spins. The thermodynamics of the system predicts a ferromagnetic and a paramagnetic phase. Starting from out-of-equilibrium initial conditions, the dynamics at constant energy drives the system into quasi-stationary states (QSS) characterized by dynamical frustration. We introduce the spin polarization as a new order parameter which allows to interpret the dynamically generated QSS regime as a glassy phase of the model.
Cite
@article{arxiv.cond-mat/0306374,
title = {Glassy phase in the Hamiltonian Mean Field model},
author = {Alessandro Pluchino and Vito Latora and Andrea Rapisarda},
journal= {arXiv preprint arXiv:cond-mat/0306374},
year = {2016}
}
Comments
Revtex4, 4 pages, 3 figures. New revised and improved version. Analogy with spin-glasses relativised, refs added, fig3 improved