Journal
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Volume 44, Issue 14, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1751-8113/44/14/145501
Keywords
-
Categories
Funding
- Russian Foundation for Basic Research [10-01-00618, 09-01-00815]
Ask authors/readers for more resources
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.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available