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Critical Behaviour of Random Bond Potts Models: A Transfer Matrix Study
Jesper Lykke Jacobsen, John Cardy
We study the two-dimensional Potts model on the square lattice in the presence of quenched random-bond impurities. For q>4 the first-order transitions of the pure model are softene…
Extraordinary transition in the two-dimensional O(n) model
Murray T Batchelor, John Cardy
The extraordinary transition which occurs in the two-dimensional O(n) model for at sufficiently enhanced surface couplings is studied by conformal perturbation theory about i…
The Number of Incipient Spanning Clusters in Two-Dimensional Percolation
John Cardy
Using methods of conformal field theory, we conjecture an exact form for the probability that n distinct clusters span a large rectangle or open cylinder of aspect ratio k, in the…
Critical Behavior of Random Bond Potts Models
John Cardy, Jesper Lykke Jacobsen
The effect of quenched impurities on systems which undergo first-order phase transitions is studied within the framework of the q-state Potts model. For large q a mapping to the ra…
Field Theory of Branching and Annihilating Random Walks
John L. Cardy, Uwe C. Täuber
We develop a systematic analytic approach to the problem of branching and annihilating random walks, equivalent to the diffusion-limited reaction processes 2A->0 and A->(m+1)A, whe…