Energy Dissipation in Hamiltonian Chains of Rotators
Dynamical Systems
2017-10-20 v2 Statistical Mechanics
Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.1702.06464,
title = {Energy Dissipation in Hamiltonian Chains of Rotators},
author = {Noé Cuneo and Jean-Pierre Eckmann and C. Eugene Wayne},
journal= {arXiv preprint arXiv:1702.06464},
year = {2017}
}