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Weyl law for open systems with sharply divided mixed phase space

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Weyl law for open systems with sharply divided mixed phase space. / Ishii, Akihiro; Akaishi, Akira; Shudo, Akira; Schomerus, Henning.

In: Physical Review E, Vol. 85, No. 4, 046203, 05.04.2012.

Research output: Contribution to journalJournal articlepeer-review

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Ishii, A, Akaishi, A, Shudo, A & Schomerus, H 2012, 'Weyl law for open systems with sharply divided mixed phase space', Physical Review E, vol. 85, no. 4, 046203. https://doi.org/10.1103/PhysRevE.85.046203

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Ishii, Akihiro ; Akaishi, Akira ; Shudo, Akira ; Schomerus, Henning. / Weyl law for open systems with sharply divided mixed phase space. In: Physical Review E. 2012 ; Vol. 85, No. 4.

Bibtex

@article{47dc86d1948444e38762f83cdbb090c4,
title = "Weyl law for open systems with sharply divided mixed phase space",
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.",
author = "Akihiro Ishii and Akira Akaishi and Akira Shudo and Henning Schomerus",
note = "{\textcopyright}2012 American Physical Society",
year = "2012",
month = apr,
day = "5",
doi = "10.1103/PhysRevE.85.046203",
language = "English",
volume = "85",
journal = "Physical Review E",
issn = "1539-3755",
publisher = "American Physical Society",
number = "4",

}

RIS

TY - JOUR

T1 - Weyl law for open systems with sharply divided mixed phase space

AU - Ishii, Akihiro

AU - Akaishi, Akira

AU - Shudo, Akira

AU - Schomerus, Henning

N1 - ©2012 American Physical Society

PY - 2012/4/5

Y1 - 2012/4/5

N2 - 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.

AB - 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.

U2 - 10.1103/PhysRevE.85.046203

DO - 10.1103/PhysRevE.85.046203

M3 - Journal article

VL - 85

JO - Physical Review E

JF - Physical Review E

SN - 1539-3755

IS - 4

M1 - 046203

ER -