English

Application of a minimum cost flow algorithm to the three-dimensional gauge glass model with screening

Disordered Systems and Neural Networks 2009-10-31 v1 Statistical Mechanics

Abstract

We study the three-dimensional gauge glass model in the limit of strong screening by using a minimum cost flow algorithm, enabling us to obtain EXACT ground states for systems of linear size L<=48. By calculating the domain-wall energy, we obtain the stiffness exponent theta = -0.95+/-0.03, indicating the absence of a finite temperature phase transition, and the thermal exponent nu=1.05+/-0.03. We discuss the sensitivity of the ground state with respect to small perturbations of the disorder and determine the overlap length, which is characterized by the chaos exponent zeta=3.9+/-0.2, implying strong chaos.

Keywords

Cite

@article{arxiv.cond-mat/9806379,
  title  = {Application of a minimum cost flow algorithm to the three-dimensional gauge glass model with screening},
  author = {J. Kisker and H. Rieger},
  journal= {arXiv preprint arXiv:cond-mat/9806379},
  year   = {2009}
}

Comments

4 pages RevTeX, 2 eps-figures included