Inhomogeneity-induced second-order phase transitions in Potts model on hierarchical lattices

Abstract

The thermodynamics of the $q$-state Potts model with arbitrary $q$ on a class of hierarchical lattices is considered. Contrary to the case of the crystal lattices, it has always the second-order phase transitions. The analytical expressions fo the critical indexes are obtained, their dependencies on the structural lattice pararmeters are studied and the scailing relations among them are establised. The structural criterion of the inhomogeneity-induced transformation of the transition order is suggested. The application of the results to a description of critical phenomena in the dilute crystals and substances confined in porous media is discussed.

9 pages, 2 figures

References in corpus (6)

• Critical Behavior of Random Bond Potts Models
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• Evidence for softening of first-order transition in 3D by quenched disorder
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Cited by in corpus (4)

• Phase diagram of the three states Potts model with next nearest neighbor interactions on the Bethe lattice
• On the three state Potts model with competing interactions on the Bethe lattice
• The Ferromagnetic Potts model under an external magnetic field: an exact renormalization group approach
• Smeared spin-flop transition in random antiferromagnetic Ising chain