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Markov-Tree model of intrinsic transport in Hamiltonian systemsA particle in a chaotic region of phase space can spend a long time near the boundary of a regular region since transport there is slow. This 'stickiness' of regular regions is thought to be responsible for previous observations in numerical experiments of a long-time algebraic decay of the particle survival probability, i.e., survival probability approximately t to the (-z) power for large t. This paper presents a global model for transport in such systems and demonstrates the essential role of the infinite hierarchy of small islands interspersed in the chaotic region. Results for z are discussed.
Document ID
19860034295
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Meiss, J. D.
(Texas, University Austin, United States)
Ott, E.
(Maryland, University College Park, United States)
Date Acquired
August 12, 2013
Publication Date
December 16, 1985
Publication Information
Publication: Physical Review Letters
Volume: 55
ISSN: 0031-9007
Subject Category
Physics (General)
Accession Number
86A19033
Funding Number(s)
CONTRACT_GRANT: NSF PHY-82-17853
Distribution Limits
Public
Copyright
Other

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