Numerical Simulations and Replica Symmetry Breaking
Abstract
Use of dedicated computers in spin glass simulations allows one to equilibrate very large samples (of size as large as ) and to carry out "computer experiments" that can be compared to (and analyzed in combination with) laboratory experiments on spin-glass samples. In the absence of a magnetic field, the most economic conclusion of the combined analysis of equilibrium and non-equilibrium simulations is that an RSB spin glass phase is present in three spatial dimensions. However, in the presence of a field, the lower critical dimension for the de Almeida-Thouless transition seems to be larger than three.
Keywords
Cite
@article{arxiv.2205.14089,
title = {Numerical Simulations and Replica Symmetry Breaking},
author = {V. Martin-Mayor and J. J. Ruiz-Lorenzo and B. Seoane and A. P. Young},
journal= {arXiv preprint arXiv:2205.14089},
year = {2022}
}
Comments
28 pages and 11 figures. We have added an additional scenario in Sect. 4. To appear as a contribution to the edited volume "Spin Glass Theory & Far Beyond - Replica Symmetry Breaking after 40 Years", World Scientific