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Article Dans Une Revue Journal of Physics A: Mathematical and General (1975 - 2006) Année : 1994

Surface Magnetization of Aperiodic Ising Systems: a Comparative Study of the Bond and Site Problems

L. Turban
Pierre-Emmanuel Berche
B. Berche

Résumé

We investigate the influence of aperiodic perturbations on the critical behaviour at a second order phase transition. The bond and site problems are compared for layered systems and aperiodic sequences generated through substitution. In the bond problem, the interactions between the layers are distributed according to an aperiodic sequence whereas in the site problem, the layers themselves follow the sequence. A relevance-irrelevance criterion introduced by Luck for the bond problem is extended to discuss the site problem. It involves a wandering exponent for pairs, which can be larger than the one considered before in the bond problem. The surface magnetization of the layered two-dimensional Ising model is obtained, in the extreme anisotropic limit, for the period-doubling and Thue-Morse sequences.

Dates et versions

hal-00422030 , version 1 (05-10-2009)

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Citer

L. Turban, Pierre-Emmanuel Berche, B. Berche. Surface Magnetization of Aperiodic Ising Systems: a Comparative Study of the Bond and Site Problems. Journal of Physics A: Mathematical and General (1975 - 2006), 1994, 27, pp.6349. ⟨10.1088/0305-4470/27/19/009⟩. ⟨hal-00422030⟩
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