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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Bibliographic Details
Published inRussian physics journal Vol. 61; no. 9; pp. 1551 - 1558
Main Authors Uchaikin, V. V., Kozhemyakina, E. V.
Format Journal Article
LanguageEnglish
Published New York Springer US 01.01.2019
Springer Nature B.V
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
resonance
trapping
fractional Laplacian
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Summary: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.
ISSN:1064-8887
1573-9228
DOI:10.1007/s11182-018-1571-7