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
收藏
页码：403 / 412
页数：10
相关论文
共 50 条
  • [31] Finite-size scaling of clique percolation on two-dimensional Moore lattices
    Dong, Jia-Qi
    Shen, Zhou
    Zhang, Yongwen
    Huang, Zi-Gang
    Huang, Liang
    Chen, Xiaosong
    PHYSICAL REVIEW E, 2018, 97 (05)
  • [32] Scaling behaviour of two-dimensional polygon models
    Richard, C
    JOURNAL OF STATISTICAL PHYSICS, 2002, 108 (3-4) : 459 - 493
  • [33] Scaling Behaviour of Two-Dimensional Polygon Models
    Christoph Richard
    Journal of Statistical Physics, 2002, 108 : 459 - 493
  • [34] FINITE-SIZE SCALING OF TWO-DIMENSIONAL AXIAL NEXT-NEAREST-NEIGHBOR ISING-MODELS
    BEALE, PD
    DUXBURY, PM
    YEOMANS, J
    PHYSICAL REVIEW B, 1985, 31 (11): : 7166 - 7170
  • [35] Finite-size scaling of the helicity modulus of the two-dimensional O(3) model
    Schultka, N
    PHYSICAL REVIEW B, 1997, 55 (01) : 41 - 43
  • [36] FINITE-SIZE SCALING STUDY OF THE TWO-DIMENSIONAL BLUME-CAPEL MODEL
    BEALE, PD
    PHYSICAL REVIEW B, 1986, 33 (03): : 1717 - 1720
  • [37] Tensor network based finite-size scaling for two-dimensional Ising model
    Huang, Ching -Yu
    Chan, Sing-Hong
    Kao, Ying-Jer
    Chen, Pochung
    PHYSICAL REVIEW B, 2023, 107 (20)
  • [38] Anisotropic finite-size scaling analysis of a two-dimensional driven diffusive system
    Wang, JS
    JOURNAL OF STATISTICAL PHYSICS, 1996, 82 (5-6) : 1409 - 1427
  • [39] FINITE-SIZE SCALING STUDY OF THE TWO-DIMENSIONAL ISING SPIN-GLASS
    HUSE, DA
    MORGENSTERN, I
    PHYSICAL REVIEW B, 1985, 32 (05): : 3032 - 3034
  • [40] Finite-size effects and dynamical scaling in two-dimensional Josephson junction arrays
    Holzer, J
    Newrock, RS
    Lobb, CJ
    Aouaroun, T
    Herbert, ST
    PHYSICAL REVIEW B, 2001, 63 (18)
12345