Transient ensemble dynamics in time-independent galactic potentials

Details Transient ensemble dynamics in time-independent galactic potentials Transient ensemble dynamics in time-independent galactic potentials

Jul 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995mnras.275..443m&link_type=abstract

Monthly Notices of the Royal Astronomical Society, Volume 275, Issue 2, pp. 443-453.

Astronomy and Astrophysics

Astronomy

30

Methods: Numerical, Celestial Mechanics, Stellar Dynamics, Galaxies: Evolution, Galaxies: Kinematics And Dynamics, Galaxies: Structure

Scientific paper

This paper summarizes a numerical investigation of the short-time, possibly transient, behaviour of ensembles of stochastic orbits evolving in fixed non-integrable potentials, with the aim of deriving insights into the structure and evolution of galaxies. The simulations involved three different two-dimensional potentials, quite different in appearance. However, despite these differences, ensembles in all three potentials exhibit similar behaviour. This suggests that the conclusions inferred from the simulations are robust, relying only on basic topological properties, e.g., the existence of KAM tori and cantori. Generic ensembles of initial conditions, corresponding to stochastic orbits, exhibit a rapid coarse-grained approach towards a near-invariant distribution on a time-scale <>t_H, although various irregularities associated with external and/or internal irregularities can drastically accelerate this process. A principal tool in the analysis is the notion of a local Liapounov exponent, which provides a statistical characterization of the overall instability of stochastic orbits over finite time intervals. In particular, there is a precise sense in which confined stochastic orbits are less unstable, with smaller local Liapounov exponents, than are unconfined stochastic orbits.

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