Monte Carlo simulation of Ising model on decagonal covering structure

被引：4

作者：

Ma, JH ^{[1
]}

Fu, XJ ^{[1
]}

机构：

[1] S China Univ Technol, Dept Phys, Guangzhou 510640, Peoples R China

来源：

SOLID STATE COMMUNICATIONS | 2004年 / 132卷 / 06期

基金：

中国国家自然科学基金;

关键词：

quasicrystals; decagonal covering; Ising model; Monte Carlo simulation;

D O I：

10.1016/j.ssc.2004.08.018

中图分类号：

O469 [凝聚态物理学];

学科分类号：

070205 ;

摘要：

We study the Ising model on a two-dimensional quasilattice developed from the decagonal covering structure. The periodic boundary conditions are applied to a patch of rhombus-like covering pattern. By means of the Monte Carlo simulation and the finite-size scaling analysis the critical temperature is estimated as 2.317 +/- 0.002. Two critical exponents are obtained being 1/v = 0.992 +/- 0.003 and eta = 0.247 +/- 0.002, which are close to the values of the two-dimensional regular lattices as well as the Penrose tilings. (C) 2004 Elsevier Ltd. All rights reserved.

引用

页码：355 / 359

页数：5

共 50 条

[31] Monte Carlo studies of the cubic lattice mixed-bond Ising model
Santos-Filho, J. B.
Moreno, N. O.
de Albuquerque, D. F.
de Arruda, A. S.
PHYSICA B-CONDENSED MATTER, 2007, 398 (02) : 294 - 296
[32] Critical properties of the frustrated Ising model on a honeycomb lattice: A Monte Carlo study
Zukovic, M.
PHYSICS LETTERS A, 2021, 404
[33] Monte Carlo analysis of critical phenomenon of the Ising model on memory stabilizer structures
Viteri, C. Ricardo
Tomita, Yu
Brown, Kenneth R.
PHYSICAL REVIEW A, 2009, 80 (04):
[34] Microsommite: crystal chemistry, phase transitions, Ising model and Monte Carlo simulations
Bonaccorsi, E
Merlino, S
Pasero, M
Macedonio, G
PHYSICS AND CHEMISTRY OF MINERALS, 2001, 28 (08) : 509 - 522
[35] Monte Carlo study of the phase transition in the critical behavior of the Ising model with shear
Saracco, G. P.
Gonnella, G.
PHYSICAL REVIEW E, 2009, 80 (05):
[36] GPU ACCELERATED MONTE CARLO ALGORITHM OF THE ISING MODEL ON VARIOUS LATTICES WITH CUDA
Lu, Xing
Cai, Jing
Zhang, Wei
2011 3RD INTERNATIONAL CONFERENCE ON COMPUTER TECHNOLOGY AND DEVELOPMENT (ICCTD 2011), VOL 2, 2012, : 371 - 378
[37] The model of multivariate dependence and Monte-Carlo simulation
Yi Wei-De
PROCEEDINGS OF THE INTERNATIONAL SYMPOSIUM ON FINANCIAL ENGINEERING AND RISK MANAGEMENT 2008, 2008, : 286 - 289
[38] Monte-Carlo Simulation of Error Sort Model
Fukuda, Ryoji
Oka, Kaoru
NONLINEAR MATHEMATICS FOR UNCERTAINTY AND ITS APPLICATIONS, 2011, 100 : 479 - +
[39] A spectral representation based model for Monte Carlo simulation
Grigoriu, M
PROBABILISTIC ENGINEERING MECHANICS, 2000, 15 (04) : 365 - 370
[40] Monte Carlo simulation of size effects on thermal conductivity in a two-dimensional Ising system
Neek-Amal, M.
Moussavi, R.
Sepangi, H. R.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2006, 371 (02) : 424 - 432

← 1 2 3 4 5 →