Phase Space Transport in Noisy Hamiltonian Systems

Details Phase Space Transport in Noisy Hamiltonian Systems Phase Space Transport in Noisy Hamiltonian Systems

1998-09-05

arxiv.org/abs/astro-ph/9809065v1

Astronomy and Astrophysics

Astrophysics

13 pages, 3 Postscript figures, latex, no macors. Annals of the New York Academy of Sciences, in press

Scientific paper

10.1111/j.1749-6632.1998.tb11267

This paper analyses the effect of low amplitude friction and noise in accelerating phase space transport in time-independent Hamiltonian systems that exhibit global stochasticity. Numerical experiments reveal that even very weak non-Hamiltonian perturbations can dramatically increase the rate at which an ensemble of orbits penetrates obstructions like cantori or Arnold webs, thus accelerating the approach towards an invariant measure, i.e., a near-microcanonical population of the accessible phase space region. An investigation of first passage times through cantori leads to three conclusions, namely: (i) that, at least for white noise, the detailed form of the perturbation is unimportant, (ii) that the presence or absence of friction is largely irrelevant, and (iii) that, overall, the amplitude of the response to weak noise scales logarithmically in the amplitude of the noise.

Affiliated with

Also associated with

No associations

Rating

Phase Space Transport in Noisy Hamiltonian Systems 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 Phase Space Transport in Noisy Hamiltonian Systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Phase Space Transport in Noisy Hamiltonian Systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-191163