Time-reversal symmetry and covariant Lyapunov vectors for simple particle models in and out of thermal equilibrium

Autor(en)

Hadrien Bosetti, Harald Posch, Christoph Dellago, William Graham Hoover

Abstrakt

Recently, a new algorithm for the computation of covariant Lyapunov vectors and of corresponding local Lyapunov exponents has become available. Here we study the properties of these still unfamiliar quantities for a simple model representing a harmonic oscillator coupled to a thermal gradient with a two-stage thermostat, which leaves the system ergodic and fully time reversible. We explicitly demonstrate how time-reversal invariance affects the perturbation vectors in tangent space and the associated local Lyapunov exponents. We also find that the local covariant exponents vary discontinuously along directions transverse to the phase flow.

Organisation(en)

Computergestützte Physik und Physik der Weichen Materie

Externe Organisation(en)

Ruby Valley Research Institute

Journal

Physical Review E

Band

82

Anzahl der Seiten

10

ISSN

1539-3755

DOI

https://doi.org/10.1103/PhysRevE.82.046218

Publikationsdatum

2010

Peer-reviewed

Ja

ÖFOS 2012

103036 Theoretische Physik, 103029 Statistische Physik, 1040 Chemie

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/034c28bf-0318-4550-b371-e4e531e40ba4