Potts Model on the Bethe Lattice with Nonmagnetic Impurities in An External Magnetic Field

被引:2
|
作者
Sjomkin, S. V. [1 ]
Smagin, V. P. [1 ]
Gusev, E. G. [1 ]
机构
[1] Vladivostok State Univ Econ & Serv, Vladivostok, Russia
关键词
diluted magnet; Potts model; Bethe lattice; phase transition; APPROXIMATION;
D O I
10.1134/S0040577918110089
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We obtain a solution for the Potts model on the Bethe lattice in an external magnetic field with movable nonmagnetic impurities. Using the method of pseudochaotic impurity distribution (correlations in the positions of the impurity atoms for the neighboring sides vanish), we obtain a system of equations defining the first-order phase transition curve on the temperature-external field plane. We find the dependence of the endpoint of the phase transition line on the concentration of magnetic atoms.
引用
收藏
页码:1645 / 1649
页数:5
相关论文
共 50 条
  • [1] Potts Model on the Bethe Lattice with Nonmagnetic Impurities in An External Magnetic Field
    S. V. Sjomkin
    V. P. Smagin
    E. G. Gusev
    Theoretical and Mathematical Physics, 2018, 197 : 1645 - 1649
  • [2] The Potts model on a Bethe lattice with nonmagnetic impurities
    Semkin, S. V.
    Smagin, V. P.
    JOURNAL OF EXPERIMENTAL AND THEORETICAL PHYSICS, 2015, 121 (04) : 636 - 639
  • [3] The Potts Model on a Bethe Lattice in an External Field
    Semkin, S. V.
    Smagin, V. P.
    RUSSIAN PHYSICS JOURNAL, 2017, 59 (10) : 1656 - 1662
  • [4] The Potts Model on a Bethe Lattice in an External Field
    S. V. Semkin
    V. P. Smagin
    Russian Physics Journal, 2017, 59 : 1656 - 1662
  • [5] The Potts model on the Bethe lattice
    de Aguiar, FS
    Rosa, SG
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 1998, 253 (1-4) : 448 - 458
  • [6] Correlation function of Potts model on Bethe lattice
    Han, B
    Chen, S
    CHINESE PHYSICS LETTERS, 2000, 17 (08) : 549 - 551
  • [7] A NEW SYMMETRY OF THE POTTS-MODEL ON THE BETHE LATTICE
    DEAGUIAR, FS
    ROSA, SG
    PHYSICS LETTERS A, 1992, 162 (03) : 232 - 235
  • [8] On disordered phase in the ferromagnetic Potts model on the Bethe lattice
    Ganikhodjaev, N
    Rozikov, U
    OSAKA JOURNAL OF MATHEMATICS, 2000, 37 (02) : 373 - 383
  • [9] POTTS-MODEL ON THE BETHE LATTICE WITH MIXED INTERACTIONS
    ESSAM, JW
    LIN, JC
    TAYLOR, PL
    PHYSICAL REVIEW E, 1995, 52 (01) : R44 - +
  • [10] THE GAUGE POTTS-MODEL ON A GENERALIZED BETHE LATTICE
    AKHEYAN, AZ
    ANANIKIAN, NS
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1992, 25 (11): : 3111 - 3119