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Fractional Differential Model of Resonant Transfer of Excitations in Plasma

The most crucial feature of excitation transfer in low-temperature plasma forming the physical basis for operation of contemporary lighting devices is participation of resonant photons in the process. The widely used approximation of complete frequency redistribution assumes independence of the emit...

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Published in:	Russian physics journal 2019-01, Vol.61 (9), p.1551-1558
Main Authors:	Uchaikin, V. V., Kozhemyakina, E. V.
Format:	Article
Language:	English
Subjects:	70 PLASMA PHYSICS AND FUSION TECHNOLOGY APPROXIMATIONS COLD PLASMA Condensed Matter Physics EXCITATION Frequency distribution Hadrons Heavy Ions KERNELS LAPLACE EQUATION Lasers Mathematical and Computational Physics Nuclear Physics NUCLEAR PHYSICS AND RADIATION PHYSICS Optical Devices Optics Photonics PHOTONS Physics Physics and Astronomy Plasma Physics RESONANCE Resonant photons Theoretical
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description	The most crucial feature of excitation transfer in low-temperature plasma forming the physical basis for operation of contemporary lighting devices is participation of resonant photons in the process. The widely used approximation of complete frequency redistribution assumes independence of the emitted photon frequency from frequency of the absorbed one. Averaged over frequency distribution in a resonance line, the natural transfer equation with the exponential kernel becomes the equation with an inverse power kernel, which in case of an infinite homogeneous medium is asymptotically equivalent to the Laplace equation of non-integer (fractional) order, considered in this article.
doi_str_mv	10.1007/s11182-018-1571-7
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subjects	70 PLASMA PHYSICS AND FUSION TECHNOLOGY APPROXIMATIONS COLD PLASMA Condensed Matter Physics EXCITATION Frequency distribution Hadrons Heavy Ions KERNELS LAPLACE EQUATION Lasers Mathematical and Computational Physics Nuclear Physics NUCLEAR PHYSICS AND RADIATION PHYSICS Optical Devices Optics Photonics PHOTONS Physics Physics and Astronomy Plasma Physics RESONANCE Resonant photons Theoretical
title	Fractional Differential Model of Resonant Transfer of Excitations in Plasma
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