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Largest Lyapunov Exponents for Lattices of Interacting Classical Spins
Stockholm University, Faculty of Science, Department of Physics.
2012 (English)In: Physical Review Letters, ISSN 0031-9007, E-ISSN 1079-7114, Vol. 109, no 3, 034101- p.Article in journal (Refereed) Published
Abstract [en]

We investigate how generic the onset of chaos in interacting many-body classical systems is in the context of lattices of classical spins with nearest-neighbor anisotropic couplings. Seven large lattices in different spatial dimensions were considered. For each lattice, more than 2000 largest Lyapunov exponents for randomly sampled Hamiltonians were numerically computed. Our results strongly suggest the absence of integrable nearest-neighbor Hamiltonians for the infinite lattices except for the trivial Ising case. In the vicinity of the Ising case, the largest Lyapunov exponents exhibit a power-law growth, while further away they become rather weakly sensitive to the Hamiltonian anisotropy. We also provide an analytical derivation of these results.

Place, publisher, year, edition, pages
2012. Vol. 109, no 3, 034101- p.
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Physical Sciences
Identifiers
URN: urn:nbn:se:su:diva-80439DOI: 10.1103/PhysRevLett.109.034101ISI: 000306417600003OAI: oai:DiVA.org:su-80439DiVA: diva2:555356
Note

AuthorCount:3;

Available from: 2012-09-19 Created: 2012-09-19 Last updated: 2017-12-07Bibliographically approved

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