MULTIPLE-TIME-SCALE APPROACH TO ERGODIC ADIABATIC SYSTEMS - ANOTHER LOOK

Authors
Citation
C. Jarzynski, MULTIPLE-TIME-SCALE APPROACH TO ERGODIC ADIABATIC SYSTEMS - ANOTHER LOOK, Physical review letters, 71(6), 1993, pp. 839-842
Citations number
11
Categorie Soggetti
Physics
Journal title
ISSN journal
00319007
Volume
71
Issue
6
Year of publication
1993
Pages
839 - 842
Database
ISI
SICI code
0031-9007(1993)71:6<839:MATEAS>2.0.ZU;2-4
Abstract
We reexamine the multiple-time-scale method as applied to ergodic adia batic Hamiltonian systems. Solving for the evolution of the phase spac e density to first order in the slowness parameter, we find a term pre viously overlooked. The inclusion of this term resolves a standing dis crepancy 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'' s ystems following chaotic trajectories.