Monte Carlo simulation of magnetic systems in the Tsallis statistics

被引：23
|
作者：
Lima, AR
Martins, JSS
Penna, TJP
机构：
[1] Univ Fed Fluminense, Inst Fis, BR-24210340 Niteroi, RJ, Brazil
[2] Univ Colorado, Colorado Ctr Chaos & Complex, Boulder, CO 80309 USA
[3] Boston Univ, Ctr Polymer Studies, Boston, MA 02215 USA
来源：
PHYSICA A | 1999年 / 268卷 / 3-4期
关键词：
generalized thermodynamics; Tsallis statistics; Monte Carlo simulations;
D O I：
10.1016/S0378-4371(99)00044-8
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We apply the broad histogram method to an Ising system in the context of the recently reformulated Generalized Thermostatistics, and we claim it to be a very efficient simulation tool for this non-extensive statistics. Results are obtained for the nearest-neighbour version of the Ising model for a range of values of the q parameter of Generalized Thermostatistics, We found an evidence that the 2D-Ising model does not undergo, in the thermodynamical limit, phase transitions at finite temperatures except for the extensive case q = 1. (C) 1999 Elsevier Science B.V. All rights reserved.
引用
收藏
页码：553 / 566
页数：14
相关论文
共 50 条
  • [1] Monte Carlo simulation of magnetic systems in the Tsallis statistics
    Instituto de Física, Univ. Fed. Fluminense, Av. L., Niterói, Brazil
    不详
    不详
    [J]. Phys A Stat Mech Appl, 3-4 (553-566):
  • [2] A Monte Carlo method for the numerical simulation of Tsallis statistics
    Salazar, R
    Toral, R
    [J]. PHYSICA A, 2000, 283 (1-2): : 59 - 64
  • [3] Computational methods inspired by Tsallis statistics: Monte Carlo and molecular dynamics algorithms for the simulation of classical and quantum systems
    Straub, JE
    Andricioaei, I
    [J]. BRAZILIAN JOURNAL OF PHYSICS, 1999, 29 (01) : 179 - 186
  • [4] Monte Carlo simulation of magnetic nanoparticle systems
    Tran Nguyen Lan
    Tran Hoang Hai
    [J]. COMPUTATIONAL MATERIALS SCIENCE, 2010, 49 (04) : S287 - S290
  • [5] Nonextensivity and Tsallis statistics in magnetic systems
    Sampaio, LC
    deAlbuquerque, MP
    deMenezes, FS
    [J]. PHYSICAL REVIEW B, 1997, 55 (09): : 5611 - 5614
  • [6] On the convergence of a hybrid parallel tempering Tsallis statistics Monte Carlo algorithm
    Liu, HB
    Jordan, KD
    [J]. ABSTRACTS OF PAPERS OF THE AMERICAN CHEMICAL SOCIETY, 2005, 229 : U788 - U789
  • [7] Fluids of strongly interacting dipoles: Monte Carlo sampling using Tsallis statistics
    Cabral, BJC
    [J]. PHYSICA A, 2001, 295 (1-2): : 234 - 241
  • [8] Monte Carlo simulation of magnetic properties in nanocrystalline-like systems
    Crisan, O
    Labaye, Y
    Berger, L
    Grenèche, JM
    [J]. JOURNAL OF PHYSICS-CONDENSED MATTER, 2003, 15 (37) : 6331 - 6344
  • [9] Play It Again: Teaching Statistics With Monte Carlo Simulation
    Sigal, Matthew J.
    Chalmers, R. Philip
    [J]. JOURNAL OF STATISTICS EDUCATION, 2016, 24 (03): : 136 - 156
  • [10] The use of Monte Carlo Computer Simulation in Teaching Statistics
    Svoboda, Milan
    Gangur, Mikulas
    [J]. DIVAI 2018: 12TH INTERNATIONAL SCIENTIFIC CONFERENCE ON DISTANCE LEARNING IN APPLIED INFORMATICS, 2018, : 185 - 193
12345