Multispin Ising spin glasses with ferromagnetic interactions
无序系统与神经网络
2009-11-07 v2
摘要
We consider the thermodynamics of an infinite-range Ising p-spin glass model with an additional r-spin ferromagnetic interaction. For r=2 there is a continuous transition to a ferromagnetic phase, while for r>2 the transition is first order. We find both glassy and non-glassy ferromagnetic phases, with replica symmetry breaking of both the one step and full varieties. We obtain new results for the case where r=p>2, demonstrating the existence of a non-glassy ferromagnetic phase, of significance to error-correcting codes.
引用
@article{arxiv.cond-mat/0103292,
title = {Multispin Ising spin glasses with ferromagnetic interactions},
author = {Peter Gillin and Hidetoshi Nishimori and David Sherrington},
journal= {arXiv preprint arXiv:cond-mat/0103292},
year = {2009}
}
备注
16 pages, AMS LaTeX, 14 EPS figures; one minor correction to (42)