We simulated the fourier transform of the correlation function of the Ising model in two and three dimensions using a single cluster algorithm with improved estimators. The simulations are in agreement with series expansion and the available exact results in $d=2$, which shows, that the cluster ...
By pushing forward the decoupling from the three-to the four-point correlation function short-range order is systematically introduced into the description of the statistical behaviour of the Ising-model. Application of a procedure which is a natural generalization of that invented by Bogoljubov and ...
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...
Physical Review Dec 1969 49被引用 0笔记 摘要原文 The $2n$-spin correlation function for the two-dimensional Ising model at $T={T}_{c}$ is evaluated for the special case in which all the spins lie along a straight line, separated by many lattice constants. The resulting $2n$-spin funct...
LEO P. KADANOFF The 2n-spin correlation function for the two-dimensional Ising model at T=Tc is evaluated for the special case in which all the spins lie along a straight line, separated by many lattice constants. The resulting 2n-spin function is simply a quotient of products of two-spin...
Spin-spin correlation function of the two dimensional Ising Model : Exact theory in the scaling region A class of fourth‐order spin correlations whose sum is closely related to the specific heat is calculated exactly by Pfaffian perturbation theory. In the ... TT Wu - 《Phys Rev》 被引量...
It is shown in the present work, which is methodological in character, that the system of equations for the Ising-model correlation functions, which Doman and Ter Haar tried to render internally closed, remains open even after the use of the additional physical postulate that the correlations ar...
We report an effective functional form for the spin-spin correlation function of the 2D Ising model as a function of temperature and field. Although the Ising model has been well studied, no analytical result for the spin-spin correlation function exists for arbitrary magnetic fields and ...
Some roots of the renormalization-group concept can be found inKadanoff (1966). He considered a partition of an Ising system into cells of a size that is shorter than the correlation length but greater than the lattice constant. Each cell in his model was determined by a cell spin.Kadanoff...
The array of sites as a function of time is the output of the model. It can be captured graphically as a “snapshot” at each time step and output to the screen in real time using OpenGL or other graphical libraries. Such graphical analysis is fine as a debugging tool, but slows up ...