1209.1468 (A. S. de Wijn et al.)

Lyapunov instabilities in lattices of interacting classical spins at
infinite temperature    [PDF]

A. S. de Wijn, B. Hess, B. V. Fine

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. All Lyapunov spectra have weakly convex shapes and do not exhibit the Lyapunov modes observed for gases of hard-core particles. 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.

View original: http://arxiv.org/abs/1209.1468