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:
Journal Article
Journal or Publication Title:
Physical Review E
Additional Information:
©2012 American Physical Society
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/aacsb/disciplinebasedresearch
Subjects:
ID Code:
54394
Deposited By:
Deposited On:
22 May 2012 08:08
Refereed?:
Yes
Published?:
Published
Last Modified:
23 Oct 2020 01:46