Lyapunov instabilities in lattices of interacting classical spins at infinite temperature

被引：21
作者：
de Wijn, A. S. [1 ]
Hess, B. [2 ]
Fine, B. V. [2 ]
机构：
[1] Stockholm Univ, Dept Phys, SE-10691 Stockholm, Sweden
[2] Heidelberg Univ, Inst Theoret Phys, D-69120 Heidelberg, Germany
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2013年 / 46卷 / 25期
基金：
美国国家科学基金会; 瑞典研究理事会;
关键词：
KOLMOGOROV-SINAI ENTROPY; LONG-TIME RELAXATION; EXPONENT; SYSTEMS;
D O I：
10.1088/1751-8113/46/25/254012
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We numerically investigate Lyapunov instabilities for one-, two-and three-dimensional lattices of interacting classical spins at infinite temperature. We obtain the largest Lyapunov exponents for a very large variety of nearest-neighbor spin-spin interactions and complete Lyapunov spectra in a few selected cases. We investigate the dependence of the largest Lyapunov exponents and whole Lyapunov spectra on the lattice size and find that both quickly become size-independent. Finally, we analyze the dependence of the largest Lyapunov exponents on the anisotropy of spin-spin interaction with the particular focus on the difference between bipartite and nonbipartite lattices.
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页数：11
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