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Chaotic size dependence in spin glasses. (English) Zbl 0864.60095
Boccara, Nino (ed.) et al., Cellular automata and cooperative systems. Proceedings of the NATO Advanced Study Institute held in Les Houches, France, June 22-July 2, 1992. Dordrecht: Kluwer Academic Publishers. NATO ASI Ser., Ser. C, Math. Phys. Sci. 396, 525-529 (1993).
Summary: We argue that chaotic size dependence is an intrinsic feature of the infinite-range Sherrington-Kirkpatrick (SK) model and should occur in short-range spin glasses if their low temperature behavior is analogous to that of the SK model. Chaotic size dependence offers a new way to distinguish, both numerically and theoretically, between the multistate picture of short-range spin glasses based on the SK model and the two-state picture based on scaling theories.
MSC:
60K40Physical applications of random processes
82D30Random media, disordered materials (statistical mechanics)