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arXiv · 1702.06464

Energy Dissipation in Hamiltonian Chains of Rotators

Noé Cuneo·Jean-Pierre Eckmann·C. Eugene Wayne
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Abstract

We discuss, in the context of energy flow in high-dimensional systems and Kolmogorov-Arnol'd-Moser (KAM) theory, the behavior of a chain of rotators (rotors) which is purely Hamiltonian, apart from dissipation at just one end. We derive bounds on the dissipation rate which become arbitrarily small in certain physical regimes, and we present numerical evidence that these bounds are sharp. We relate this to the decoupling of non-resonant terms as is known in KAM problems.

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Noé Cuneo, Jean-Pierre Eckmann, C. Eugene Wayne. 2017-10-19. Energy Dissipation in Hamiltonian Chains of Rotators. https://doi.org/10.1088/1361-6544%2Faa85d6

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