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

页码：114 / 124

页数：11

共 50 条

[1] Heisenberg ferromagnetic spin chain with bilinear and biquadratic interactions in (2+1) dimensions
Vasanthi, C. Christal
Latha, M. M.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2015, 28 (1-3) : 109 - 122
[2] Dromions in (2 + 1) dimensional ferromagnetic spin chain with bilinear and biquadratic interactions
Anitha, T.
Latha, M.M.
Vasanthi, C. Christal
Physica A: Statistical Mechanics and its Applications, 2014, 415 : 105 - 115
[3] Dromions in (2 + 1) dimensional ferromagnetic spin chain with bilinear and biquadratic interactions
Anitha, T.
Latha, M.M.
Vasanthi, C. Christal
Physica A: Statistical Mechanics and its Applications, 2014, 415 : 105 - 115
[4] Dromions in (2+1) dimensional ferromagnetic spin chain with bilinear and biquadratic interactions
Anitha, T.
Latha, M. M.
Vasanthi, C. Christal
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2014, 415 : 105 - 115
[5] Thermodynamics of the bilinear-biquadratic spin-one Heisenberg chain
Lou, JH
Xiang, T
Su, ZB
PHYSICAL REVIEW LETTERS, 2000, 85 (11) : 2380 - 2383
[6] A chaotic study on Heisenberg ferromagnetic spin chain using Dzyaloshinski–Moriya interactions
B S Gnana Blessy
M M Latha
Pramana, 2019, 93
[7] A chaotic study on Heisenberg ferromagnetic spin chain using Dzyaloshinski-Moriya interactions
Blessy, B. S. Gnana
Latha, M. M.
PRAMANA-JOURNAL OF PHYSICS, 2019, 93 (05):
[8] THE DYNAMICS OF A GENERALIZED HEISENBERG FERROMAGNETIC SPIN CHAIN
DANIEL, M
GUTKIN, E
CHAOS, 1995, 5 (02) : 439 - 442
[9] Longitudinal continuum spin conductivity by Kubo formula in the Heisenberg model with bilinear and biquadratic exchange interactions
Lima, L. S.
JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS, 2021, 525
[10] An integrable 3D model for Heisenberg ferromagnetic spin system with biquadratic interactions
Stally, G. Addaline
Latha, M. M.
CHINESE JOURNAL OF PHYSICS, 2019, 59 : 70 - 82

← 1 2 3 4 5 →