Effective spin-glass Hamiltonian for the anomalous dynamics of the HMF model
Statistical Mechanics
2009-11-11 v4
Abstract
We discuss an effective spin-glass Hamiltonian which can be used to study the glassy-like dynamics observed in the metastable states of the Hamiltonian Mean Field (HMF) model. By means of the Replica formalism, we were able to find a self-consistent equation for the glassy order parameter which reproduces, in a restricted energy region below the phase transition, the microcanonical simulations for the polarization order parameter recently introducted in the HMF model.
Cite
@article{arxiv.cond-mat/0506665,
title = {Effective spin-glass Hamiltonian for the anomalous dynamics of the HMF model},
author = {Alessandro Pluchino and Vito Latora and Andrea Rapisarda},
journal= {arXiv preprint arXiv:cond-mat/0506665},
year = {2009}
}
Comments
Revtex, 9 pages, 2 figures. New revised version revised according to the referee reports