Criticality in a hybrid spin model with Fermi-Dirac statistics

被引:3
|
作者
Contoyiannis, Y. F. [1 ]
Potirakis, S. M. [1 ]
Diakonos, F. K. [2 ]
Kosmidis, E. K. [3 ]
机构
[1] Univ West Attica, Dept Elect & Elect Engn, Campus 2,250 Thivon P Ralli, GR-12244 Athens, Greece
[2] Univ Athens, Dept Phys, GR-15784 Athens, Greece
[3] Aristotle Univ Thessaloniki, Dept Med, Physiol Lab, Thessaloniki GR-54006, Greece
关键词
2D Ising; Fermi-Dirac statistics; Metropolis algorithm; Critical fluctuations; Tricritical fluctuations; EARTHQUAKE PREPARATION;
D O I
10.1016/j.physa.2021.126073
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Combining concepts of artificial neural networks (ANNs) with the stochastic dynamics of Ising spin lattices we introduce a hybrid model, the hybrid spin model (HSM). We find that the HSM carries the critical/tricritical fluctuations of the 2D Ising model and allows for an accurate estimation of the isothermal critical/tricritical exponents of 2D Ising universality class. Our work clearly demonstrates that HSM launches a new category of models supporting alternative pathways for the realization of criticality in complex networks artificial or real. (C) 2021 Elsevier B.V. All rights reserved.
引用
收藏
页数:9
相关论文
共 50 条
  • [1] Supraconductivity and fermi-dirac statistics
    Kok, JA
    [J]. NATURE, 1934, 134 : 532 - 533
  • [2] 'Condensation' in Fermi-Dirac statistics
    Kothari, DS
    Nath, B
    [J]. NATURE, 1943, 151 : 420 - 420
  • [3] Illustration of the Fermi-Dirac statistics
    Arnaud, J
    Boé, JM
    Chusseau, L
    Philippe, F
    [J]. AMERICAN JOURNAL OF PHYSICS, 1999, 67 (03) : 215 - 221
  • [4] Fermi-Dirac Statistics Derivation and Consequences
    Chaturvedi, S.
    Biswas, Shyamal
    [J]. RESONANCE-JOURNAL OF SCIENCE EDUCATION, 2014, 19 (01): : 45 - 61
  • [5] Fermi-Dirac statistics of complex networks
    Shen, Y
    Zhu, DL
    Liu, WM
    [J]. CHINESE PHYSICS LETTERS, 2005, 22 (05) : 1281 - 1284
  • [6] Fermi-Dirac statistics and the number theory
    Kubasiak, A
    Korbicz, JK
    Zakrzewski, J
    Lewenstein, M
    [J]. EUROPHYSICS LETTERS, 2005, 72 (04): : 506 - 512
  • [7] Asymptotic analysis of a semiconductor model based on Fermi-Dirac statistics
    Jungel, A
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 1996, 19 (05) : 401 - 424
  • [8] Temperature equilibration rate with Fermi-Dirac statistics
    Brown, Lowell S.
    Singleton, Robert L., Jr.
    [J]. PHYSICAL REVIEW E, 2007, 76 (06):
  • [9] Some remarks on supraconductivity and Fermi-Dirac statistics
    Kok, JA
    [J]. PHYSICA, 1934, 1 : 1103 - 1106
  • [10] Broken unitary symmetries and fermi-dirac statistics
    Calixto, M.
    Aldaya, V.
    [J]. MODERN PHYSICS LETTERS A, 2007, 22 (40) : 3037 - 3045