English

Lack of monotonicity in spin glass correlation functions

Disordered Systems and Neural Networks 2009-11-13 v1

Abstract

We study the response of a spin glass system with respect to the rescaling of its interaction random variables and investigate numerically the behaviour of the correlation functions with respect to the volume. While for a ferromagnet the local energy correlation functions increase monotonically with the scale and, by consequence, with respect to the volume of the system we find that in a general spin glass model those monotonicities are violated.

Keywords

Cite

@article{arxiv.0804.3691,
  title  = {Lack of monotonicity in spin glass correlation functions},
  author = {Pierluigi Contucci and Francesco Unguendoli and Cecilia Vernia},
  journal= {arXiv preprint arXiv:0804.3691},
  year   = {2009}
}

Comments

9 pages, 2 figures

R2 v1 2026-06-21T10:33:50.744Z