Scaling and asymptotic laws in subrecoil laser cooling

Schaufler, S.; Schleich, Wolfgang P.; Yakovlev, V. P.

doi:10.1209/epl/i1997-00366-3

Cited by 22 publications

(7 citation statements)

References 14 publications

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“…a privileged communication channel. This super-diffusive behavior has been already reported in a wide number of complex systems ranging from bacteria 56,57 and turbulent plasma 58,59 to quantum optics 60,61 and single molecule spectroscopy 62,63 .…”

Section: Probability Density Function Of the Fluid-fluid Interface Curvature And Fractional Dynamicssupporting

confidence: 64%

Curvature dynamics and long-range effects on fluid–fluid interfaces with colloids

et al. 2019

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Section: Probability Density Function Of the Fluid-fluid Interface Curvature And Fractional Dynamicssupporting

confidence: 64%

Curvature dynamics and long-range effects on fluid–fluid interfaces with colloids

et al. 2019

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“…It shows that the distribution function n is related to the function F in a local and a nonlocal way in time [18]. In the latter there appears the kernel K whose width dp in momentum…”

mentioning

confidence: 94%

Keyhole Look at Lévy Flights in Subrecoil Laser Cooling

1999

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“…In [12], it exits Richardson turbulent diffusion. In [13], it exits in quantum optics. In [14], it exits in single molecule spectroscopy.…”

Section: Discussionmentioning

confidence: 99%

The Truncation Regularization Method for Identifying the Initial Value on Non-Homogeneous Time-Fractional Diffusion-Wave Equations

Yang

et al. 2019

Mathematics

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In the essay, we consider an initial value question for a mixed initial-boundary value of time-fractional diffusion-wave equations. This matter is an ill-posed problem; the solution relies discontinuously on the measured information. The truncation regularization technique is used for restoring the initial value functions. The convergence estimations are given in a priori regularization parameter choice regulations and a posteriori regularization parameter choice regulations. Numerical examples are given to demonstrate this is effective and practicable.

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Scaling and asymptotic laws in subrecoil laser cooling

Abstract: We derive and analyze scaling properties of the kinetic equation for subrecoil laser cooling. These scaling laws determine the universal asymptotic time behaviour in complete agreement with the results of the statistical analysis in terms of Lévy flights.

Cited by 22 publications

References 14 publications

Curvature dynamics and long-range effects on fluid–fluid interfaces with colloids

Curvature dynamics and long-range effects on fluid–fluid interfaces with colloids

Keyhole Look at Lévy Flights in Subrecoil Laser Cooling

The Truncation Regularization Method for Identifying the Initial Value on Non-Homogeneous Time-Fractional Diffusion-Wave Equations

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