Spin-1 Hopfield model under a random field
Statistical Mechanics
2014-02-03 v1 Disordered Systems and Neural Networks
Abstract
The goal of the present work is to investigate the role of trivial disorder and nontrivial disorder in the three-state Hopfield model under a Gaussian random field. In order to control the nontrivial disorder, the Hebb interaction is used. This provides a way to control the system frustration by means of the parameter a=p/N, varying from trivial randomness to a highly frustrated regime, in the thermodynamic limit. We performed the thermodynamic analysis using the one-step replica-symmetry-breaking mean field theory to obtain the order parameters and phase diagrams for several strengths of a, the anisotropy constant, and the random field.
Keywords
Cite
@article{arxiv.1401.8010,
title = {Spin-1 Hopfield model under a random field},
author = {C. V. Morais and M. J. Lazo and F. M. Zimmer and P. R. Krebs and S. G. Magalhaes},
journal= {arXiv preprint arXiv:1401.8010},
year = {2014}
}