2004
DOI: 10.1103/physrevlett.93.120201
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Photon Trajectories in Incoherent Atomic Radiation Trapping as Lévy Flights

Abstract: Photon trajectories in incoherent radiation trapping for Doppler, Lorentz and Voigt line shapes under complete frequency redistribution are shown to be Lévy flights. The jump length (r) distributions display characteristic long tails. For the Lorentz line shape, the asymptotic form is a strict power-law r −3/2 while for Doppler the asymptotic is r −2 (ln r) −1/2 . For the Voigt profile, the asymptotic form has always a Lorentz character, but the trajectory is a self-affine fractal with two characteristic Hausd… Show more

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Cited by 47 publications
(66 citation statements)
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“…The cases of CFR Doppler and Lorentz resonance line radiation transfer give analytical ODF expressions and were considered in previous works [15,19]. For the Doppler case, one has µ ≃ 1 and thus Eq.…”
Section: Asymptotic Behavior Of the Jump Distributionmentioning
confidence: 99%
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“…The cases of CFR Doppler and Lorentz resonance line radiation transfer give analytical ODF expressions and were considered in previous works [15,19]. For the Doppler case, one has µ ≃ 1 and thus Eq.…”
Section: Asymptotic Behavior Of the Jump Distributionmentioning
confidence: 99%
“…one can see that the slower the decrease in the ODF for smaller opacity values, the more important the higher jump sizes. For Doppler, Lorentz (and Voigt) CFR trapping, the ODF variation for small k values is either increasing or so slowly decreasing as to render even the first moment of the jump size distribution infinite [15,19]. The CFR Voigt case is a self-affine multifractal with two different characteristic Lévy flight µ's parameters, a µ ≃ 1 corresponding to the Doppler-like core radiation and a µ = 1/2 for Lorentz-like wing photons.…”
Section: Superdiffusive Behavior For Resonance Line Trappingmentioning
confidence: 99%
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