Rattleback: A model of how geometric singularity induces dynamic chirality

The rattleback is a boat-shaped top with an asymmetric preference in spin. Its dynamics can be described by nonlinearly coupled pitching, rolling, and spinning modes. The chirality, designed into the body as a skewed mass distribution, manifests itself in the quicker transition of +spin → pitch → −s...

Full description

Saved in:
Bibliographic Details
Published in:Physics letters. A 2017-09, Vol.381 (34), p.2772-2777
Main Authors: Yoshida, Z., Tokieda, T., Morrison, P.J.
Format: Article
Language:English
Subjects:
Bianchi classification
Chiral dynamics
Foliation
Physics
Topological constraint
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The rattleback is a boat-shaped top with an asymmetric preference in spin. Its dynamics can be described by nonlinearly coupled pitching, rolling, and spinning modes. The chirality, designed into the body as a skewed mass distribution, manifests itself in the quicker transition of +spin → pitch → −spin than that of −spin → roll → +spin. The curious guiding idea of this work is that we can formulate the dynamics as if a symmetric body were moving in a chiral space. By elucidating the duality of matter and space in the Hamiltonian formalism, we attribute asymmetry to space. The rattleback is shown to live in the space dictated by the Bianchi type VIh
ISSN:0375-9601
1873-2429
DOI:10.1016/j.physleta.2017.06.039