Conjecture on the Critical Frontier of the Fully Anisotropic Homogeneous Quenched Bond-Mixed Potts Ferromagnet in Square Lattice.

摘要

It is conjectured that a logarithmic provides a very accurate approximation of the yet unknown critical frontier of a fully anisotropic homogeneous quenched bond-mixed q-state Potts ferromagnet in square lattice, where the random coupling constant J is distributed according to the laws P(J) and P'(J) for 'horizontal' and 'vertical' bonds respectively. Such an equation contains as particular cases a great number of exact results as well as a few recent conjectures (which are definitively only approximate). (Atomindex citation 13:643010)