Numerical Simulations of Spin Glass Systems
Disordered Systems and Neural Networks
2016-08-31 v1 Statistical Mechanics
Abstract
We discuss the status of Monte Carlo simulations of (mainly finite dimensional) spin glass systems. After a short historical note and a brief theoretical introduction we start by discussing the (crucial) 3D case: the warm phase, the critical point and the cold phase, the ultrametric structure and the out of equilibrium dynamics. With the same style we discuss the cases of 4D and 2D. In a few appendices we give some details about the definition of states and about the tempering Monte Carlo approach.
Cite
@article{arxiv.cond-mat/9701016,
title = {Numerical Simulations of Spin Glass Systems},
author = {Enzo Marinari and Giorgio Parisi and Juan Ruiz-Lorenzo},
journal= {arXiv preprint arXiv:cond-mat/9701016},
year = {2016}
}
Comments
Contribution to the volume: "Spin Glasses and Random Fields", edited by P. Young. 40 pages including 13 figures