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Fractional behavior in multidimensional Hamiltonian systems describing reactions.

Fractional behavior in multidimensional Hamiltonian systems describing reactions. Research Abstract Details 

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  • Fractional behavior in multidimensional Hamiltonian systems describing reactions. Abstract Text:

    akira shojiguchiAkira Shojiguchi,chun-biu liChun-Biu Li,tamiki komatsuzakiTamiki Komatsuzaki,mikito todaMikito Toda,akira shojiguchiAkira Shojiguchi,chun-biu liChun-Biu Li,tamiki komatsuzakiTamiki Komatsuzaki,mikito todaMikito Toda,

    The fractional behavior is presented for a minimal Hamiltonian system of three degrees of freedom which describes reaction processes. The model has a double-well potential where the Arnold web within the well is nonuniform. The survival probability within the well exhibits power law decay in addition to exponential decay. Moreover, the trajectories of the power law decay exhibit 1/f spectra and subdiffusion in the action space, while the trajectories of the exponential decay show Lorentzian spectra and normal diffusion. Transient features of these statistical properties reveal the dynamical connection, i.e., how trajectories approach to (depart from) the Arnold web from (to) the region around the potential saddle. In particular, a wavelet analysis enables us to extract transient features of the resonances. Based on these results, we suggest that resonance junctions including higher-order resonances are important for understanding the dynamical origins of the fractional behavior in reaction processes.

    Fractional behavior in multidimensional Hamiltonian systems describing reactions. Publishing Authors By Initials

    a shojiguchiA Shojiguchi,cb liCB Li,t komatsuzakiT Komatsuzaki,m todaM Toda,a shojiguchiA Shojiguchi,cb liCB Li,t komatsuzakiT Komatsuzaki,m todaM Toda,

    For similar abstracts research abstracts see: abstracts research

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    Fractional behavior in multidimensional Hamiltonian systems describing reactions. Journal Published:

    PUBLICATION TYPE: Research Support, Non-U.S. Gov

    Journal: Physical review. E, Statistical, nonlinear, and so

    VOLUME: 76

    Page Numbers: 056205

    Journal Abbreviation:

    ISSN: 1539-3755

    DAY: 8

    MONTH: 11

    YEAR: 2007

    Fractional behavior in multidimensional Hamiltonian systems describing reactions. Information

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    LANGUAGE: eng

    NlmUniqueID: 101136452

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    Grant and Affiliation Information for Fractional behavior in multidimensional Hamiltonian systems describing reactions.

    AFFILIATION: Physics Department, Nara Women's University, Kita-Uoya-Nishimachi, Nara 630-8506, Japan. a-shoujiguchi@ap.np.nec.com

    Country: United States

    United States Research PublicationUnited States Research Publication

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    MEDLINETA: Phys Rev E Stat Nonlin Soft Ma

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