Exact cluster size distribution in the one-dimensional Ising model

被引：34
|
作者：
Yilmaz, MB [1 ]
Zimmermann, FM [1 ]
机构：
[1] Rutgers State Univ, Dept Phys & Astron, Piscataway, NJ 08854 USA
来源：
PHYSICAL REVIEW E | 2005年 / 71卷 / 02期
关键词：
D O I：
10.1103/PhysRevE.71.026127
中图分类号：
O35 [流体力学]; O53 [等离子体物理学];
学科分类号：
070204 ; 080103 ; 080704 ;
摘要：
The exact solution for the cluster size distribution in the one-dimensional Ising model is obtained. In the thermodynamic limit the result is a simple analytical formula which gives the normalized number of clusters of different sizes. The analytical prediction is compared with Monte Carlo simulations and the energy dependence of the distribution is studied.
引用
收藏
页数：5
相关论文
共 50 条
  • [41] ONE-DIMENSIONAL ISING-MODEL - KINETIC STUDIES
    LACOMBE, RH
    SIMHA, R
    [J]. JOURNAL OF CHEMICAL PHYSICS, 1974, 61 (05): : 1899 - 1911
  • [42] ONE-DIMENSIONAL ISING-MODEL WITH RANDOM BONDS
    KOWALSKI, JM
    PEKALSKI, A
    [J]. JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1975, 8 (13): : 2085 - 2090
  • [43] DYNAMICS OF ONE-DIMENSIONAL TRANSVERSE ISING-MODEL
    GONCALVES, LL
    ELLIOTT, RJ
    [J]. PHYSICA B & C, 1977, 86 (JAN-M): : 581 - 582
  • [44] RECURSIVE METHOD IN ONE-DIMENSIONAL ISING-MODEL
    MARCHI, E
    VILA, J
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1980, 13 (07): : 2465 - 2477
  • [45] DYNAMICS OF THE ONE-DIMENSIONAL TRANSVERSE ISING-MODEL
    GONCALVES, LL
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1980, 13 (01): : 223 - 236
  • [46] Aging in the one-dimensional ising model with Glauber dynamics
    Prados, A
    Brey, JJ
    SanchezRey, B
    [J]. EUROPHYSICS LETTERS, 1997, 40 (01): : 13 - 18
  • [47] Phase transition of the dissipative one-dimensional Ising model
    Shao, JS
    Schwarz, WHE
    [J]. PHYSICAL REVIEW B, 1996, 53 (18): : 12220 - 12224
  • [48] The one-dimensional Ising model: Mutation versus recombination
    Fischer, S
    Wegener, I
    [J]. THEORETICAL COMPUTER SCIENCE, 2005, 344 (2-3) : 208 - 225
  • [49] Dynamics of the random one-dimensional transverse Ising model
    Florencio, J
    Barreto, FCS
    [J]. PHYSICAL REVIEW B, 1999, 60 (13) : 9555 - 9560
  • [50] Correlation functions in a one-dimensional kinetic Ising model
    Kuchanov, SI
    Aliev, MA
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1997, 30 (24): : 8479 - 8496
12345