We simulated the fourier transform of the correlation function of the Ising\nmodel in two and three dimensions using a single cluster algorithm with\nimproved estimators. The simulations are in agreement with series expansion and\nthe available exact results in $d=2$, which shows, that the ...
zero field correlation functionsquenched distributionsannealed distributions/ A0550 Lattice theory and statisticsIsing problems A7510H Ising and other classical spin models (magnetism)Evidence is presented in favour of the hypothesis of weak universality and scaling for bond dilute Ising models. Moments of...
We consider a general spin-1/2 Ising model with multisite interaction on the Husimi lattice with the coordination number q and derive an analytical expression of correlation functions for stable fixed points of the corresponding recurrence relation. We show that for q=2 our model transforms to th...
Using this one can also study the equal-time wavevector-dependent correlation function of the quantum chain, a.k.a. the q -dependent diagonal susceptibility in the 2d Ising model, in great detail with very little computational effort. 展开 ...
For Ising models with pair interactions in zero magnetic field a class of linear combinations of products of two correlation functions is studied. We derive sufficient and necessary conditions under which a function in this class is (a) zero for all values of the coupling parameters, or (b) ...
Three-site correlation functions of a square lattice of the form have been analytically calculated for all temperatures. It has been found necessary to evaluate the inverse of t × t Toeplitz matrix as t →∞, which has been done by using the Wiener–Hopf technique. The results are used to...
glass.The Pfaffian method is used to calculate free energy and entropy as well as the correlation function.We estimate the exponent of spin correlation function for the fully frustrated model and spin glass.In this paper an overview of the latest results on the spin correlation function is ...
摘要: We present exact explicit expressions for the row spin-spin correlation functions 〈σ 00 σ n 0〉 in the isotropic d = 2 Ising model, in terms of elliptic integrals, for n 5. We also give a general structural formula for 〈σ 00 σ n 0〉....
Asymptotic Behavior of Spin-Pair Correlation Function of Ising Model on Generalized Kagomé Lattice In rabbit retina, neurofibrillar methods stain two populations of amacrines whose cell before are located on either side of the inner plexiform layer: one ... DI Vaney,L Peichi,BB Boycott - 《Jo...
We study the Ising model two-point diagonal correlation function C(N, N) by presenting an exponential and form factor expansion in an integral representation which differs from the known expansion of Wu, McCoy, Tracy and Barouch. We extend this expansion, weighting, by powers of a variable λ...