Strange Attractor in the Ising Model with Competing Interactions on the Cayley Tree
Carlos S. O. YokoiInstituto de Fiśica, Universidade de São Paulo, 01498 São Paulo, BrazilMário J. de OliveiraInstituto de Fiśica, Universidade de São Paulo, 01498 São Paulo, BrazilS. R. SalinasInstituto de Fiśica, Universidade de São Paulo, 01498 São Paulo, Brazil
1985en
ABI
Abstract
We formulate the Ising model with competing interactions on a Cayley tree, in the infinite-coordination limit, as a two-dimensional nonlinear mapping. The phase diagram displays a Lifshitz point and many modulated phases. We perform calculations to show the existence of a complete devil's staircase at low temperatures. Also, we give strong numerical evidence for the existence of chaotic phases associated with strange attractors.
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