Chaotic behavior of a spin-glass model on a Cayley tree

Autor:	da Costa, F. A., de Araujo, J. M., Salinas, S. R.
Rok vydání:	2014
Předmět:	Condensed Matter - Statistical Mechanics
Druh dokumentu:	Working Paper
Popis:	We investigate the phase diagram of a spin--1 Ising spin-glass model on a Cayley tree. According to early work of Thompson and collaborators, this problem can be formulated in terms of a set of nonlinear discrete recursion relations along the branches of the tree. Physically relevant solutions correspond to the attractors of these mapping equations. In the limit of infinite coordination of the tree, and for some choices of the model parameters, we make contact with findings for the phase diagram of more recently investigated versions of the Blume-Emery-Griffiths spin-glass model. In addition to the anticipated phases, we numerically characterize the existence of modulated and chaotic structures. Comment: 4 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1401.3989 Zobrazit plný text záznamu View this record from Arxiv