Critical percolation on a Bethe lattice revisited

被引:5
|
作者
Braga, GA [1 ]
Sanchis, R [1 ]
Schieber, TA [1 ]
机构
[1] Univ Fed Minas Gerais, Dept Matemat, BR-30161970 Belo Horizonte, MG, Brazil
关键词
Bethe lattice; critical exponent; percolation probability; asymptotic behavior;
D O I
10.1137/S0036144503433685
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We introduce the model of independent percolation oil general graphs with emphasis on the Bethe lattice; for which we prove the existence of a phase transition with the precise calculation of the critical value; and derive the value of the critical exponents gamma and beta.
引用
收藏
页码:349 / 365
页数:17
相关论文
共 50 条
  • [1] Inhomogeneous percolation on the Bethe lattice with critical exponents and its application
    Shahid, Muhammad Imran
    Chen, Cun
    Ren, Jingli
    RESULTS IN PHYSICS, 2023, 51
  • [2] Sokoban percolation on the Bethe lattice
    Bonomo, Ofek Lauber
    Shitrit, Itamar
    Reuveni, Shlomi
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2024, 57 (33)
  • [3] ANISOTROPIC PERCOLATION ON THE BETHE LATTICE
    TURBAN, L
    JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1979, 12 (08): : 1479 - 1490
  • [4] BOOTSTRAP PERCOLATION ON A BETHE LATTICE
    LEATH, PL
    CHALUPA, J
    REICH, GR
    BULLETIN OF THE AMERICAN PHYSICAL SOCIETY, 1979, 24 (03): : 362 - 362
  • [5] Explosive percolation on the Bethe lattice
    Chae, Huiseung
    Yook, Soon-Hyung
    Kim, Yup
    PHYSICAL REVIEW E, 2012, 85 (05):
  • [6] Percolation on anisotropic media, the Bethe lattice revisited. Application to fracture networks
    Canals, M.
    Ougougdal, M. Ayt
    NONLINEAR PROCESSES IN GEOPHYSICS, 1997, 4 (01) : 11 - 18
  • [7] PERCOLATION THEORY IN ANISOTROPIC BETHE LATTICE
    MIYAZIMA, S
    ISHII, K
    SYOZI, I
    PROGRESS OF THEORETICAL PHYSICS, 1975, 53 (01): : 283 - 284
  • [8] Explosive percolation on the Bethe lattice is ordinary
    Cho, Young Sul
    EUROPEAN PHYSICAL JOURNAL B, 2024, 97 (05):
  • [9] Emergent Spin Excitations in a Bethe Lattice at Percolation
    Changlani, Hitesh J.
    Ghosh, Shivam
    Pujari, Sumiran
    Henley, Christopher L.
    PHYSICAL REVIEW LETTERS, 2013, 111 (15)
  • [10] Agglomerative percolation on the Bethe lattice and the triangular cactus
    Chae, Huiseung
    Yook, Soon-Hyung
    Kim, Yup
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2013, 46 (33)