Open AccessAnomalous Diffusion in a Hamiltonian System
Author(s) -
Tomoshige Miyaguchi,
Y. Aizawa
Publication year - 2003
Publication title -
progress of theoretical physics
Language(s) - English
Resource type - Journals
eISSN - 1347-4081
pISSN - 0033-068X
DOI - 10.1143/ptp.109.145
Subject(s) - physics , hamiltonian (control theory) , hamiltonian system , transport system , classical mechanics , mathematical physics , statistical physics , mathematical optimization , mathematics , transport engineering , engineering
We investigate transport properties of a Hamiltonian system with two degrees of freedom. We found that, for a range of parameter values, transport is superdiffusive, and we numerically comfirmed that this is caused by stickiness of ballistic mode islands. We also note that a Poincare map of our system has properties similar to those of Levy flight.
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