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Field behaviour of the XY chiral model on a Cayley tree

1992; Institute of Physics; Volume: 25; Issue: 6 Linguagem: Inglês

10.1088/0305-4470/25/6/004

ISSN

1361-6447

Autores

Américo Tristão Bernardes, Mário J. de Oliveira,

Tópico(s)

Nonlinear Dynamics and Pattern Formation

Resumo

The authors present a study of the XY chiral model on a Cayley tree in the presence of an external uniform magnetic field. They calculate the phase diagram at zero temperature from a corresponding 1D mapping. Ferromagnetic commensurate and incommensurate modulated phases as well as chaotic structures are present in the zero temperature limit. In this case they also obtain a devil's staircase and determine the route to chaos, which is in agreement with Feigenbaum's scenario. For finite temperatures, the phase diagrams are obtained from a 2D mapping. The chaotic behaviour is present only at low temperatures.

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