Chaotic dynamics of Heisenberg ferromagnetic spin chain with bilinear and biquadratic interactions

被引：3
|
作者：
Blessy, B. S. Gnana [1 ]
Latha, M. M. [1 ]
机构：
[1] Womens Christian Coll, Dept Phys, Nagercoil 629001, India
来源：
PHYSICA B-CONDENSED MATTER | 2017年 / 523卷
关键词：
Chaos; Ferromagnet; Lyapunov exponent; SOLITONS; EXCITATIONS; EXCHANGE; MAGNETIZATION; CSNIF3; DIPOLE; WAVES;
D O I：
10.1016/j.physb.2017.08.012
中图分类号：
O469 [凝聚态物理学];
学科分类号：
070205 ;
摘要：
We investigate the chaotic dynamics of one dimensional Heisenberg ferromagnetic spin chain by constructing the Hamiltonian equations of motion. We present the trajectory and phase plots of the system with bilinear and also biquadratic interactions. The stability of the system is analysed in both cases by constructing the Jacobian matrix and by measuring the Lyapunov exponents. The results are illustrated graphically.
引用
收藏
页码：114 / 124
页数：11
相关论文
共 50 条
  • [31] QUASILINEAR SCHRODINGER EQUATIONS FOR THE HEISENBERG FERROMAGNETIC SPIN CHAIN
    Cheng, Yongkuan
    Shen, Yaotian
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2024, 61 (02) : 541 - 556
  • [32] The transmission property of the discrete Heisenberg ferromagnetic spin chain
    Ding, Qing
    Lin, Wei
    JOURNAL OF MATHEMATICAL PHYSICS, 2008, 49 (09)
  • [33] A series of the solutions for the Heisenberg ferromagnetic spin chain equation
    Ma, Yu-Lan
    Li, Bang-Qing
    Fu, Ying-Ying
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2018, 41 (09) : 3316 - 3322
  • [34] DYNAMICS OF THE CLASSICAL HEISENBERG SPIN CHAIN
    ROBERTS, JAG
    THOMPSON, CJ
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1988, 21 (08): : 1769 - 1780
  • [35] Energy as entanglement witness in bilinear-biquadratic spin-1 chain
    Xu Feng
    Wang An-Min
    Zhao Ning-Bo
    Su Xiao-Qiang
    Zhu Ren-Gui
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2006, 46 (04) : 591 - 594
  • [36] Incommensurability in the magnetic excitations of the bilinear-biquadratic spin-1 chain
    Golinelli O.
    Jolicœur Th.
    Sørensen E.S.
    The European Physical Journal B - Condensed Matter and Complex Systems, 1999, 11 (2): : 199 - 206
  • [37] Quantum quench dynamics in XY spin chain with ferromagnetic and antiferromagnetic interactions
    Wang, Zhe
    Fang, Pan-Pan
    Xu, Yu-Liang
    Wang, Chun-Yang
    Zhang, Rong-Tao
    Zhang, Han
    Kong, Xiang-Mu
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2021, 581 (581)
  • [38] Effective Field Theory for the SO(n) Bilinear-Biquadratic Spin Chain
    Tu, Hong-Hao
    Orus, Roman
    PHYSICAL REVIEW LETTERS, 2011, 107 (07)
  • [39] Energy as Entanglement Witness in Bilinear-Biquadratic Spin-1 Chain
    XU Feng
    Communications in Theoretical Physics, 2006, 46 (10) : 591 - 594
  • [40] Incommensurability in the magnetic excitations of the bilinear-biquadratic spin-1 chain
    Golinelli, O
    Jolicoeur, T
    Sorensen, ES
    EUROPEAN PHYSICAL JOURNAL B, 1999, 11 (02): : 199 - 206
12345