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

  title={Time-reversal symmetry and covariant Lyapunov vectors for simple particle models in and out of thermal equilibrium.},
  author={Hadrien Bosetti and Harald A. Posch and Christoph Dellago and William Graham Hoover},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  volume={82 4 Pt 2},
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… 
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  • Posch, Hoover
  • Physics
    Physical review. A, General physics
  • 1988
Nose-Hoover mechanics, ofmore » which Gauss's isokinetic mechanics is a special case, resolves the reversibility paradox first stated by J. Loschmidt (Sitzungsber.