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- W2003286549 abstract "The $q$-state Potts model is studied in the presence of random fields, which locally prefer ordering of any one of the $q$ states. In $d$ dimensions, the transition is expected to become first-order for $q>{q}_{c}(d)$. As in the nonrandom case, mean-field theory still yields ${q}_{c}(d)=2$ for all $d$. Fluctuations are argued to shift the nonrandom value, ${q}_{c}^{0}(d)$, into a significantly higher value, ${q}_{c}(d)$. For ${q}_{c}^{0}(d)<q<{q}_{c}(d)$ we thus expect random fields to turn the discontinuous transitions into continuous ones. At $d=3$ this probably includes the experimentally realizable cases $q=3 mathrm{and} 4$." @default.
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- W2003286549 date "1984-02-01" @default.
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- W2003286549 title "Potts models in random fields" @default.
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- W2003286549 doi "https://doi.org/10.1103/physrevb.29.1263" @default.
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