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 ...
We 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 ξ d ( β t ) in ...
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 ...
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 ...
The q-state Potts model in two dimensions ex- hibits the first order phase transition for q > 4. The correlation length ξ d at the phase transi- tion point in the disordered phase was solved ex- actly[1–3]. It diverges when q approaches 4, at which the order of the phase ...
摘要: Long-range correlation lengths of polystyrene in cyclohexane from angular dependence of Rayleigh linewidth (ξγ) and of intensity (ξs) obey Kawasaki's relation ξγξs = 35.关键词: phase equilibrium thermodynamics/ A0520 Statistical mechanics DOI: 10.1016/0375-9601(70)90235-5 ...
-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 \...
IM was the general manager and contributed to the manuscript, II developed the modification of Potts model clustering method, preformed statistical evaluation of the correlation between GOAs and network clustering and wrote the manuscript.
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 ...
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 ...