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• W1972373376 abstract "The mean-field Potts glass with bimodal bond distribution is studied, for p = 3 and p = 6 Potts states, via exact summation of the partition function of systems of up to N = 15 sites. Averages over the disorder realizations are also done exactly up to N = 8, while random bond configurations are generated for the larger systems. Our enumeration method is described in some detail, and the applicability of finite-size scaling (FSS) for our very small systems is discussed. For p = 3 (second-order transition), the data agree reasonably with the FSS relations given by Parisi et al for the p = 2 (Ising) case. For p = 6, no clear signs of the predicted first-order behaviour could be observed. This case is even more affected by finite-size effects, since the necessary antiferromagnetic bias of the bond distribution introduces an additional correction in the free energy. For both p, the data are compatible with a vanishing ground-state entropy." @default.
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• W1972373376 date "1996-07-07" @default.
• W1972373376 modified "2023-09-27" @default.
• W1972373376 title "Finite-size scaling in thep-state mean-field Potts glass: exact statistical mechanics for small samples" @default.
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• W1972373376 doi "https://doi.org/10.1088/0305-4470/29/13/020" @default.
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