Time-reversal symmetry and covariant Lyapunov vectors for simple particle models in and out of thermal equilibrium
- Author(s)
- Hadrien Bosetti, Harald Posch, Christoph Dellago, William Graham Hoover
- Abstract
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(s)
- Computational and Soft Matter Physics
- External organisation(s)
- Ruby Valley Research Institute
- Journal
- Physical Review E
- Volume
- 82
- No. of pages
- 10
- ISSN
- 1539-3755
- DOI
- https://doi.org/10.1103/PhysRevE.82.046218
- Publication date
- 2010
- Peer reviewed
- Yes
- Austrian Fields of Science 2012
- 103036 Theoretical physics, 103029 Statistical physics, 1040 Chemistry
- Portal url
- https://ucrisportal.univie.ac.at/en/publications/034c28bf-0318-4550-b371-e4e531e40ba4