High-dimensional ($d\\ge 5$) Ising systems have mean-field critical exponents. However, at the critical temperature the finite-size scaling of the susceptibility $\\chi$ depends on the boundary conditions. A system with periodic boundary conditions then has $\\chi\\propto L^{5/2}$. ...
Thus a numerical study of finite size scaling in the Ising model serves as a non-perturbative test of triviality of φ44-theories for all N. Introduction The φ4-field theory, in d dimensions, with an O(N)-symmetry group is of fundamental interest in both high energy and statistical ...
We address the problem of the definition of the finite-volume correlation length.First, we study the large-N limit of the N-vector model, and we showthe existence of several constraints on the definition if regularity of the finite-size scaling functions and correct anomalous behaviour above the...
We calculate finite-size scaling functions (FSSF's) of Binder parameter g and magnetization distribution function $p(m)$ for the Ising model on ${L}_{1}\\ifmmodeimes\\elseexttimes\\fi{}{L}_{2}$ square lattices with periodic boundary conditions in the horizontal ${L}_{1}$ direction ...
law relations and the H-dependent finite size scaling functions for the magnetization and the susceptibility. In the previous papers, the algorithms improved fromCreutz cellular automaton (CCA) [29] for different Ising model Hamiltonians have been used to study the ...
We find that f(n)(c) and p(n)(m) have very good finite-size scaling behavior and that they have universal finite-size scaling functions for the model on square, plane triangular, and honeycomb lattices when aspect ratios of these lattices have the proportions 1:square root[3]/2:square ...
thefinitesizescalingofFisherZeroestothedynamicallygeneratedgap,throughthescalingoftheirrespectivecriticalexponents.Aswecomment,thenonlinearsigmamodelrepresentationderivedthroughthehamiltonianofourlatticespinmodelcanalsobeusedtogiveaeffectivetreatmentofplanaranomalousdimensionsinN=4SYM.WepresentscalingargumentsfromourFSS...
The non-frustrated ferromagnetic Ising model on the quasiperiodic octagonal tiling is studied by means of Monte-Carlo simulations. From a finite-size scaling analysis of octagonal tilings with free boundary conditions, the critical temperature is estimated at kTc/J = 2.39 ± 0.01 and the critical ...
应用Monte-Carlo方法研究了不同边界条件下二维晶格 Ising模型的热力学行为 ,利用有限尺寸标度理论得到其相应的相变温度 ,并模拟观测了不同边界条件下二维晶格 Ising模型的动力学过程 。 3) finite-size scaling 有限尺度标度 4) finite size scaling 有限尺寸标度 ...
Finite-size scaling editor, John L. Cardy (Current physics : sources and comments, 2) North-Holland , Sole distributors for the USA and Canada, Elsevier Science Pub. Co., c1988 : hardbound : pbk. 关键词: Micropump Microfluidics Acoustic actuation 出版时间: 1988 ISBN: 04448710980444871101 ...