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

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

2010-04-26

arxiv.org/abs/1004.4473v2

Nonlinear Sciences

Chaotic Dynamics

13 pages, 11 figures submitted to Physical Review E, 2010

Scientific paper

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 number of simple models, including an 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.

Affiliated with

Also associated with

No associations

Rating

Time-reversed symmetry and covariant Lyapunov vectors for simple particle models in and out of thermal equilibrium does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Time-reversed symmetry and covariant Lyapunov vectors for simple particle models in and out of thermal equilibrium, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Time-reversed symmetry and covariant Lyapunov vectors for simple particle models in and out of thermal equilibrium will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-32065