Phase space transport in noisy Hamiltonian systems.

Abstract:

:This paper analyzes 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 toward an invariant measure, i.e., a 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.

journal_name

Ann N Y Acad Sci

authors

Kandrup HE

doi

10.1111/j.1749-6632.1998.tb11267.x

subject

Has Abstract

pub_date

1998-12-30 00:00:00

pages

320-33

eissn

0077-8923

issn

1749-6632

journal_volume

867

pub_type

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