Lyapunov instabilities in lattices of interacting classical spins at infinite temperature
2013 (English)In: Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, Vol. 46, no 25, 254012- p.Article in journal (Refereed) Published
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.
Place, publisher, year, edition, pages
2013. Vol. 46, no 25, 254012- p.
IdentifiersURN: urn:nbn:se:su:diva-92125DOI: 10.1088/1751-8113/46/25/254012ISI: 000320306900013OAI: oai:DiVA.org:su-92125DiVA: diva2:637799
FunderSwedish Research Council