期刊
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
卷 44, 期 14, 页码 -出版社
IOP PUBLISHING LTD
DOI: 10.1088/1751-8113/44/14/145501
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资金
- Russian Foundation for Basic Research [10-01-00618, 09-01-00815]
The fractional Boltzmann equation for resonance radiation transport in plasma is proposed. We start with the standard Boltzmann equation; averaging over photon frequencies leads to the appearance of a fractional derivative. This fact is in accordance with the conception of latent variables leading to hereditary and non-local dynamics (in particular, fractional dynamics). The presence of a fractional material derivative in the equation is concordant with heavy tailed distribution of photon path lengths and with spatiotemporal coupling peculiar to the process. We discuss some methods of solving the obtained equation and demonstrate numerical results in some simple cases.
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