Energy Dissipation in Hamiltonian Chains of Rotators

Autor:	Cuneo, Noé, Eckmann, Jean-Pierre, Wayne, C. Eugene
Rok vydání:	2017
Předmět:	Mathematics - Dynamical Systems Condensed Matter - Statistical Mechanics Mathematical Physics
Druh dokumentu:	Working Paper
DOI:	10.1088/1361-6544/aa85d6
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1702.06464 Zobrazit plný text záznamu View this record from Arxiv