Chaotic behavior of a spin-glass model on a Cayley tree. (23rd June 2015)

• Record Type: Journal Article
• Authors: da Costa, F A; de Araújo, J M; Salinas, S R
• Is Part Of: Journal of statistical mechanics. (2015:Jun.)
• Publication Date: 2015-06-23
• Subjects: 3 -- 7 -- 2; 3/140 -- 7/030 -- 2/055; Statistical mechanics -- Periodicals; Mechanics -- Statistical methods -- Periodicals; 530.1305
• DOI: 10.1088/1742-5468/2015/06/P06028
• Languages: English
• ISSNs: 1742-5468

Abstract

Abstract: 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.