Finite size scaling by using scaling functions in two-dimensional q=2 and 7 state Potts models

被引：3

作者：

Demirtürk, S ^{[1
]}

Seferoglu, N

Aydin, M

Gündüç, Y

机构：

[1] Hacettepe Univ, Dept Phys, TR-06532 Ankara, Turkey

[2] Cankaya Univ, Dept Math & Comp Sci, TR-06530 Ankara, Turkey

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS C | 2001年 / 12卷 / 03期

关键词：

phase transition; Potts model; finite size scaling; Monte Carlo simulation;

D O I：

10.1142/S0129183101001808

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

The scaling behaviors of the percolation cumulant and the surface renormalization are studied on q = 2 and 7 state Potts models. The results show that the scaling functions can be safely used to determine infinite lattice transition points and the thermal and magnetic exponents indicating that these functions have very small correction to scaling contributions.

引用

页码：403 / 412

页数：10

共 30 条

[21] The finite-size scaling study of the specific heat and the binder parameter for the 7-dimensional Ising model
Merdan, Z.
Atille, D.
MODERN PHYSICS LETTERS B, 2007, 21 (04): : 215 - 224
[22] The Finite-Size Scaling Study of the Specific Heat and the Binder Parameter of the Two-Dimensional Ising Model for the Fractals Obtained by Using the Model of Diffusion-Limited Aggregation
Merdan, Ziya
Bayirli, Mehmet
Ozturk, Mustafa Kemal
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2009, 64 (12): : 849 - 854
[23] Test of scaling theory at a two-dimensional Ising-like transition using a monolayer of iron
Wursch, C
Pescia, D
JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS, 1998, 177 : 617 - 619
[24] Continuum limits and exact finite-size-scaling functions for one-dimensionalO(N)-invariant spin models
Attilio Cucchieri
Tereza Mendes
Andrea Pelissetto
Alan D. Sokal
Journal of Statistical Physics, 1997, 86 : 581 - 673
[25] Finite-size scaling analysis of localization transitions in the disordered two-dimensional Bose-Hubbard model within the fluctuation operator expansion method
Geissler, Andreas
PHYSICAL REVIEW A, 2021, 103 (04)
[26] Matrix product state approach to the finite-size scaling properties of the one-dimensional critical quantum Ising model
Park, Sung-Been
Cha, Min-Chul
JOURNAL OF THE KOREAN PHYSICAL SOCIETY, 2015, 67 (09) : 1619 - 1623
[27] Matrix product state approach to the finite-size scaling properties of the one-dimensional critical quantum Ising model
Sung-Been Park
Min-Chul Cha
Journal of the Korean Physical Society, 2015, 67 : 1619 - 1623
[28] Ubiquitous finite-size scaling features in I-V characteristics of various dynamic XY models in two dimensions
Medvedyeva, K
Kim, BJ
Minnhagen, P
PHYSICA C-SUPERCONDUCTIVITY AND ITS APPLICATIONS, 2001, 355 (1-2): : 6 - 14
[29] Multi-GPU-based Swendsen-Wang multi-cluster algorithm for the simulation of two-dimensional q-state Potts model
Komura, Yukihiro
Okabe, Yutaka
COMPUTER PHYSICS COMMUNICATIONS, 2013, 184 (01) : 40 - 44
[30] FINITE-SIZE-SCALING STUDIES OF ONE-DIMENSIONAL REACTION-DIFFUSION SYSTEMS .2. NUMERICAL-METHODS
KREBS, K
PFANNMULLER, MP
SIMON, H
WEHEFRITZ, B
JOURNAL OF STATISTICAL PHYSICS, 1995, 78 (5-6) : 1471 - 1491

← 1 2 3 →