Fractional-power-law level statistics due to dynamical tunneling
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Contributors
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
Original language | English |
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Pages (from-to) | 024101 |
Journal | Physical review letters |
Volume | 106 |
Issue number | 2 |
Publication status | Published - 14 Jan 2011 |
Peer-reviewed | Yes |
External IDs
Scopus | 78651279694 |
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ORCID | /0000-0002-7017-3738/work/142254010 |