On the critical frontiers of Potts ferromagnets
نویسندگان
چکیده
2014 We formulate a conjecture concerning the critical frontiers of q-state Potts ferromagnets on d-dimensional lattices (d > 1) which generalize a recent one stated for planar lattices. The present conjecture is verified within satisfactory accuracy (exactly in some cases) for all the lattices or arrays whose critical points are known. Its use leads to the prediction of : a) a considerable amount of new approximate critical points (26 on non-planar regular lattices, some others on Husimi trees and cacti) ; b) approximate critical frontiers for some 3-dimensional lattices; c) the possibly asymptotically exact critical point on regular lattices in the limit d ~ ~ for all q ~ 1; d) the possibly exact critical frontier for the pure Potts model on fully anisotropic Bethe lattices; e) the possibly exact critical frontier for the general quenched random-bond Potts ferromagnet (any P(J)) on isotropic Bethe lattices. J. Physique 42 (1981) 1515-1523 NOVEMBRE 1981, Classification Physics Abstracts 05.50 75.10 64.60 64.90
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Conjecture on the critical frontier of the Potts ferromagnet on planar lattices
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