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Published February 15, 1981 | Published
Journal Article Open

On correlation functions and the onset of chaotic motion

Abstract

A variety of correlation functions computed over a microcanonical ensemble for the Hénon–Heiles system are investigated. We find the general trend is that of a gradual change to some form of decaying behavior as the motion becomes predominantly chaotic. The decay of a mode energy correlation function indicates a time scale for intramolecular energy redistribution.

Additional Information

© 1981 American Institute of Physics. Received 7 March 1980; accepted 3 July 1980. One of us (D.W.N.) was supported by a Wigner Fellowship from ORNL. The research was sponsored by the U.S. Department of Energy under Contract W-7405-eng-26 with the Union Carbide Corporation (at Oak Ridge), the DOE at Sandia National Laboratories, and the NSF (at California Institute of Technology). We would like to thank Dr. M.V. Berry for a useful discussion. Arthur Amos Noyes Laboratory of Chemical Physics, Contribution No. 6159.

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