Markov-Tree model of intrinsic transport in Hamiltonian systems

Details Markov-Tree model of intrinsic transport in Hamiltonian systems Markov-Tree model of intrinsic transport in Hamiltonian systems

Dec 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985phrvl..55.2741m&link_type=abstract

Physical Review Letters (ISSN 0031-9007), vol. 55, Dec. 16, 1985, p. 2741-2744. NASA-DOE-supported research.

Mathematics

Probability

142

Chaos, Hamiltonian Functions, Markov Chains, Transport Theory, Mathematical Models, Particle Trajectories, Probability Theory

Scientific paper

A 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.

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