Fractional-power-law level statistics due to dynamical tunneling
Publikation: Beitrag in Fachzeitschrift › Forschungsartikel › Beigetragen › Begutachtung
Beitragende
Abstract
For systems with a mixed phase space we demonstrate that dynamical tunneling universally leads to a fractional power law of the level-spacing distribution P(s) over a wide range of small spacings s. Going beyond Berry-Robnik statistics, we take into account that dynamical tunneling rates between the regular and the chaotic region vary over many orders of magnitude. This results in a prediction of P(s) which excellently describes the spectral data of the standard map. Moreover, we show that the power-law exponent is proportional to the effective Planck constant h(eff).
Details
Originalsprache | Englisch |
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Seiten (von - bis) | 024101 |
Fachzeitschrift | Physical review letters |
Jahrgang | 106 |
Ausgabenummer | 2 |
Publikationsstatus | Veröffentlicht - 14 Jan. 2011 |
Peer-Review-Status | Ja |
Externe IDs
Scopus | 78651279694 |
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ORCID | /0000-0002-7017-3738/work/142254010 |