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Weyl law for open systems with sharply divided mixed phase space

Ishii, Akihiro and Akaishi, Akira and Shudo, Akira and Schomerus, Henning (2012) Weyl law for open systems with sharply divided mixed phase space. Physical Review E, 85 (4). ISSN 1539-3755

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    Abstract

    A generalization of the Weyl law to systems with a sharply divided mixed phase space is proposed. The ansatz is composed of the usual Weyl term which counts the number of states in regular islands and a term associated with sticky regions in phase space. For a piecewise linear map, we numerically check the validity of our hypothesis, and find good agreement not only for the case with a sharply divided phase space but also for the case where tiny island chains surround the main regular island. For the latter case, a nontrivial power law exponent appears in the survival probability of classical escaping orbits, which may provide a clue to develop the Weyl law for more generic mixed systems.

    Item Type: Article
    Journal or Publication Title: Physical Review E
    Additional Information: ©2012 American Physical Society
    Subjects: Q Science > QC Physics
    Departments: Faculty of Science and Technology > Physics
    ID Code: 54394
    Deposited By: ep_importer_pure
    Deposited On: 22 May 2012 09:08
    Refereed?: Yes
    Published?: Published
    Last Modified: 09 Apr 2014 23:29
    Identification Number:
    URI: http://eprints.lancs.ac.uk/id/eprint/54394

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