Lyapunov instabilities in lattices of interacting classical spins at infinite temperature
Chaotic Dynamics
2013-06-11 v2 Other Condensed Matter
Abstract
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.
Keywords
Cite
@article{arxiv.1209.1468,
title = {Lyapunov instabilities in lattices of interacting classical spins at infinite temperature},
author = {A. S. de Wijn and B. Hess and B. V. Fine},
journal= {arXiv preprint arXiv:1209.1468},
year = {2013}
}