The loop algebra L(sl2) symmetry is found in a sector of the nilpotent BazhanovStroganov model. The Drinfeld polynomial of a L(sl2)-degenerate eigenspace of the model is equivalent to the polynomial [4, 5, 10–14] which characterizes a subspace with the Isinglike spectrum of the superintegrable chiral Potts model.

We present study of finite-size scaling and universality of crossing probabilities for the q-state Potts model. Crossing probabilities of the Potts model are similar ones in percolation problem. We numerically investigated scaling of πs the probability of a system to percolate only in one direction for twodimensional site percolation, the Ising model, and the q-state Potts model for q = 3, 4, 5...

We have studied the Potts spin glass with two-state Ising spins and s-state Potts variables using a cluster Monte Carlo dynamics. The model recovers the 6J Ising spin glass ~SG! for s51 and exhibits for all s a SG transition at TSG(s) and a percolation transition at higher temperature Tp(s). We have shown that for all values of sÞ1 at Tp(s) there is a thermodynamic transition in the universalit...

The theoretical basis of continuum percolation has changed greatly since its beginning as little more than an analogy with lattice systems. Nevertheless, there is yet no comprehensive theory of this field. A basis for such a theory is provided here with the introduction of the Potts fluid, a system of interacting s-state spins which are free to move in the continuum. In the s → 1 limit, the Pot...

We study the quasi-particle spectrum of the integrable three-state chiral Potts chain in the massive phase by combining a numerical study of the zeroes of associated transfer matrix eigenvalues with the exact results of the ferromagnetic three-state Potts chain and the three-state superintegrable chiral Potts model. We find that the spectrum is described in terms of quasi-particles with momenta...

We exploit the identification between the critical theory of the 3-state Potts model and the D5 conformal model. This allows us to determine all 3-point correlations involving the fields associated with the Potts order parameter and the energy density. The calculation uses screened Coulomb gas correlations. The Z3 symmetry of the 3-state Potts model is manifestly preserved. ENSLAPP-L-526/95 Jun...

It is well-known that typical properties of random graphs can be derived from the q → 1 limit of the Potts model of statistical mechanics. We show that, additionally, the Legendre transform of the Potts free energy with respect to ln q allows to study large deviation properties of the random graph ensemble characterizing graphs with an atypical number of components. We also demonstrate how the ...

The multi-spin coding of the Monte Carlo simulation of the three-state Potts model on the simple cubic lattice is presented. The ferromagnetic (F) model, the antiferromagnetic (AF) model, and the random mixture of the F and AF couplings are treated. The multi-spin coding technique is also applied to the block-spin transformation. The block-spin transformation of the F Potts model is simply real...

A computational method is presented which efficiently segments digital grayscale images by directly applying the Q-state Ising (or Potts) model. Since the Potts model was first proposed in 1952, physicists have studied lattice models to gain deep insights into magnetism and other disordered systems. For some time, researchers have realized that digital images may be modeled in much the same way...