Lévy statistics for single molecule spectroscopy in low temperature glass

E. Barkai; RJ Silbey; G Zumofen

Lévy statistics for single molecule spectroscopy in low temperature glass

E. Barkai
, RJ Silbey
, G Zumofen

Department of Physics - at Bar-Ilan University

Research output: Contribution to journal › Article › peer-review

Abstract

We investigate line shapes of single molecules in low temperature glass based on the standard tunneling model. Using the Kubo-Anderson line shape theory, and numerical simulations, we show that the cumulants of the lines are distributed according to Lévy stable laws. Thus the generalized central limit theorem is applicable to this problem.

Original language	American English
Pages (from-to)	3-9
Journal	AIP Conference Proceedings
Volume	553
Issue number	3
State	Published - 2001

Bibliographical note

Disordered And Complex Systems, p. 3, P. Sollich, A. C. C.
Coolen, L. P. Hughston and R. F. Streater Editors, (2001).

Cite this

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title = "L{\'e}vy statistics for single molecule spectroscopy in low temperature glass",

abstract = "We investigate line shapes of single molecules in low temperature glass based on the standard tunneling model. Using the Kubo-Anderson line shape theory, and numerical simulations, we show that the cumulants of the lines are distributed according to L{\'e}vy stable laws. Thus the generalized central limit theorem is applicable to this problem.",

author = "E. Barkai and RJ Silbey and G Zumofen",

note = "Disordered And Complex Systems, p. 3, P. Sollich, A. C. C. Coolen, L. P. Hughston and R. F. Streater Editors, (2001).",

year = "2001",

language = "American English",

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journal = "AIP Conference Proceedings",

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AU - Silbey, RJ

AU - Zumofen, G

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PY - 2001

Y1 - 2001

N2 - We investigate line shapes of single molecules in low temperature glass based on the standard tunneling model. Using the Kubo-Anderson line shape theory, and numerical simulations, we show that the cumulants of the lines are distributed according to Lévy stable laws. Thus the generalized central limit theorem is applicable to this problem.

AB - We investigate line shapes of single molecules in low temperature glass based on the standard tunneling model. Using the Kubo-Anderson line shape theory, and numerical simulations, we show that the cumulants of the lines are distributed according to Lévy stable laws. Thus the generalized central limit theorem is applicable to this problem.

M3 - Article

SN - 0094-243X

VL - 553

SP - 3

EP - 9

JO - AIP Conference Proceedings

JF - AIP Conference Proceedings

IS - 3

ER -

Lévy statistics for single molecule spectroscopy in low temperature glass

Abstract

Bibliographical note

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Cite this