Multiple-time-scale approach to ergodic adiabatic systems: Another look
- 9 August 1993
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 71 (6) , 839-842
- https://doi.org/10.1103/physrevlett.71.839
Abstract
We reexamine the multiple-time-scale method as applied to ergodic adiabatic Hamiltonian systems. Solving for the evolution of the phase space density to first order in the slowness parameter, we find a term previously overlooked. The inclusion of this term resolves a standing discrepancy between the multiple-time-scale approach to this problem, and an approach using a Fokker-Planck equation. We apply our solution to the dynamics of a ‘‘slow’’ system coupled to an ensemble of ‘‘fast’’ systems following chaotic trajectories.Keywords
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