Chaotic Transport in Time-Dependent Symplectic Maps | Zendy

Jicong Shi | Zendy

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Chaotic Transport in Time-Dependent Symplectic Maps

Author(s) -

Jicong Shi

Publication year - 1996

Publication title -

physical review letters

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 3.688

H-Index - 673

eISSN - 1079-7114

pISSN - 0031-9007

DOI - 10.1103/physrevlett.76.3971

Subject(s) - physics , modulation (music) , chaotic , symplectic geometry , large hadron collider , super proton synchrotron , flux (metallurgy) , synchrotron , particle (ecology) , tracking (education) , statistical physics , resonance (particle physics) , particle physics , quantum mechanics , mathematical analysis , computer science , mathematics , psychology , pedagogy , oceanography , materials science , artificial intelligence , acoustics , metallurgy , geology

The effect of tune modulation in two-dimensional symplectic maps has been studied by using the concept of chaotic transport in terms of flux across resonances. When a single resonance is dominant, the particle escape due to the tune modulation can be characterized by the increment of the flux induced by the modulation. The parameter dependence of the particle escape rate obtained by using the transport theory agrees well with the result of the multiparticle tracking study and the beam study experiments at the CERN Super Proton Synchrotron. This study showed that the transport theory provides a computationally efficient means of studying the particle escape due to the tune modulation and estimating the parameter dependence of the escape rate. (S0031-9007(96)00214-1)

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