Temperature controlled Lévy flights of minority carriers in photoexcited bulk n-InP

Subashiev, A. V.; Semyonov, Oleg G.; Chen, Zhichao; Luryi, Serge

doi:10.1016/j.physleta.2013.11.007

Cited by 12 publications

(6 citation statements)

References 30 publications

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“…(A6) and (A7) in the Appendix in [41] and (38) in [16]), where the exponent γ essentially depends on the tail of the line shape. Note also that there is an example of a physics model which gives the power-law step-length PDF ( 22): see Equation ( 1) in [32] for photon-assisted transport of minority carriers in semiconductors (photo-excited holes in n-type InP [33]). The Green's function of Equation (19) shows asymptotic behavior similar to that in the case of the Biberman-Holstein equation.…”

Section: A Methods Of Deriving An Self-similar Green's Function For Lévy Flights (Simplementioning

confidence: 99%

Self-Similar Solutions in the Theory of Nonstationary Radiative Transfer in Spectral Lines in Plasmas and Gases

et al. 2021

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Radiative transfer (RT) in spectral lines in plasmas and gases under complete redistribution of the photon frequency in the emission-absorption act is known as a superdiffusion transport characterized by the irreducibility of the integral (in the space coordinates) equation for the atomic excitation density to a diffusion-type differential equation. The dominant role of distant rare flights (Lévy flights, introduced by Mandelbrot for trajectories generated by the Lévy stable distribution) is well known and is used to construct approximate analytic solutions in the theory of stationary RT (the escape probability method is the best example). In the theory of nonstationary RT, progress based on similar principles has been made recently. This includes approximate self-similar solutions for the Green’s function (i) at an infinite velocity of carriers (no retardation effects) to cover the Biberman–Holstein equation for various spectral line shapes; (ii) for a finite fixed velocity of carriers to cover a wide class of superdiffusion equations dominated by Lévy walks with rests; (iii) verification of the accuracy of above solutions by comparison with direct numerical solutions obtained using distributed computing. The article provides an overview of the above results with an emphasis on the role of distant rare flights in the discovery of nonstationary self-similar solutions.

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Section: A Methods Of Deriving An Self-similar Green's Function For Lévy Flights (Simplementioning

confidence: 99%

Self-Similar Solutions in the Theory of Nonstationary Radiative Transfer in Spectral Lines in Plasmas and Gases

et al. 2021

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“…Still dealing with material issues, also photoluminescence experiments in moderately doped n-InP samples reveal anomalous Lévy-type distribution [12][13][14][15][16][17]. This phenomenon could have a large impact on the design of a number of optoelectronic devices such as multicolored LEDs, opto-thyristors, photovoltaic devices with high efficiency, or semiconductor scintillator for radiation detection [16].…”

Section: Introductionmentioning

confidence: 99%

Josephson-based Threshold Detector for Lévy-Distributed Current Fluctuations

et al. 2019

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We propose a threshold detector for Lévy distributed fluctuations based on a Josephson junction. The Lévy noise current added to a linearly ramped bias current results in clear changes in the distribution of switching currents out of the zero-voltage state of the junction. We observe that the analysis of the cumulative distribution function of the switching currents supplies information on both the characteristics shape parameter α of the Lévy statistics and the intensity of the fluctuations. Moreover, we discuss a theoretical model which allows to extract characteristic features of the Lévy fluctuations from a measured distribution of switching currents. In view of this results, this system can effectively find an application as a detector for a Lévy signal embedded in a noisy background. arXiv:1802.01095v3 [cond-mat.mes-hall]

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“…In mechanical systems, Lévy fluctuations have been also used to describe vibration data in industrial bearings [5][6][7]]. Another example of the relevance of anomalous distributions in material issues has been proposed in photoluminescence experiments of moderately doped n-InP samples [8], and the presence of Lévy flights could prove to have an impact on the design of some optoelectronic devices [9]. On the fundamental side Lévy processes can reveal the properties in the electron transport [10] and optical properties [11][12][13] of semiconducting nanocrystals quantum dots.…”

Section: Introductionmentioning

confidence: 99%

Lévy noise induced transitions and enhanced stability in a birhythmic van der Pol system

et al. 2019

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This work describes the effects of Lévy noise on a birhythmic van der Pol like oscillator. Numerical simulations demonstrate that the noise induced escapes from an attractor to another are not markedly different from escapes between stable points in an ordinary potential, albeit the attractors are separated by a barrier of a quasi (or pseudo) potential. However, some differences appear, and are more pronounced when the Lévy distribution index is close to two.

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Temperature controlled Lévy flights of minority carriers in photoexcited bulk n-InP

Cited by 12 publications

References 30 publications

Self-Similar Solutions in the Theory of Nonstationary Radiative Transfer in Spectral Lines in Plasmas and Gases

Self-Similar Solutions in the Theory of Nonstationary Radiative Transfer in Spectral Lines in Plasmas and Gases

Josephson-based Threshold Detector for Lévy-Distributed Current Fluctuations

Lévy noise induced transitions and enhanced stability in a birhythmic van der Pol system

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