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Tests of Conformal Invariance in Randomness Induced Second-Order Phase Transitions
Christophe Chatelain, Bertrand Berche
The conformal covariance of correlation functions is checked in the second-order transition induced by random bonds in the two-dimensional 8-state Potts model. The decay of correla…
Second-Order Phase Transition Induced by Deterministic Fluctuations in Aperiodic Eight-State Potts Models
Christophe Chatelain, Pierre Emmanuel Berche, Bertrand Berche
We investigate the influence of aperiodic modulations of the exchange interactions between nearest-neighbour rows on the phase transition of the two-dimensional eight-state Potts m…
The McCoy-Wu Model in the Mean-field Approximation
Bertrand Berche, Pierre Emmanuel Berche, Ferenc Iglói +1
We consider a system with randomly layered ferromagnetic bonds (McCoy-Wu model) and study its critical properties in the frame of mean-field theory. In the low-temperature phase th…
Finite-Size Scaling Study of the Surface and Bulk Critical Behavior in the Random-Bond 8-state Potts Model
Christophe Chatelain, Bertrand Berche
The self-dual random-bond eight-state Potts model is studied numerically through large-scale Monte Carlo simulations using the Swendsen-Wang cluster flipping algorithm. We compute…