SIGMA MODELRENORMALIZATIONWe performed Monte Carlo simulations of two-dimensional q -state Potts models with q = 10, 15, and 20 and measured the spin-spin correlation function at the first-order transition point β t in the disordered and ordered phase. Our results for the correlation length ...
We have studied spin-spin correlation functions in the ordered phase of the two-dimensional $q$-state Potts model with $q=10$, 15, and 20 at the first-order transition point $\\beta_t$. Through extensive Monte Carlo simulations we obtain strong numerical evidence that the correlation length ...
The large-q expansions of the exponential correlation length and the second moment correlation length for the q-state Potts model in two dimensions are calculated at the first order phase transition point both in the ordered and disordered phases. The expansion coefficients in the ordered and...
Journal of Physics A General PhysicsW. T. Lu and F. Y. Wu, On the duality relation for correlation functions of the Potts model, J. Phys. A: Math. Gen. 31 :2823–2836 (1998).W. T. Lu and F. Y. Wu, On the duality relation for correlation functions of the Potts model, J. ...
Potts modelGriffith–Kelly–Sherman inequalitiesGibbs measure82B2082B26Inspired by the work of D.G.Kelly and S.Sherman on general Griffiths inequalities on correlations in Ising ferromagnets, we formulate and prove Griffith–Kelly–Sherman-type inequalities for the ferromagnetic Potts model with a ...
A formalism is presented to calculate the energy correlation functions of the two-dimensional q-state Potts model at its critical and tricritical transition, based on the Coulomb gas approach. The consistency of the procedure is verified by comparing alternative prescriptions for the calculation. The ...
-state potts model at inverse temperature \(\beta \ge 0\) on \(\mathbb {z}^d\) with free boundary condition is the probability measure on \(\{1, 2, \dots , q\}^{\mathbb {z}^d}\) ( \(q\ge 2\) ) given by the weak limit of the finite-volume measures (for \(\sigma \...
This method has been validated on several 2D systems, including classical and active fluids, as well as a “cellular fluid” (a biological tissue model based on the Potts framework [29], [30]). Thus, FIM enables a more comprehensive analysis of correlation structures in liquids and allows ...
The correlation length of the simple cubic semi-infinite lattice (l x m x ∞) Potts model is numerically studied by using the eigenvalues of the transfer matrix. From the intersection of a correlation length curve family, the critical coupling parameter K_c = J/kT_c for the simple cubic ...
The correlation length of the simple cubic semi-infinite lattice (l × m ×∞) Potts model is numerically studied by using the eigenvalues of the transfer matrix. From the intersection of a correlation length curve family, the critical coupling parameter K[sub c] = J/kT[sub c] for the ...