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When telegrapher's equation furnishes a better approximation to transport equation than the difussion approximation
Porrà i Rovira, Josep Maria; Masoliver, Jaume, 1951-; Weiss, George H. (George Herbert), 1930-
Universitat de Barcelona
It has been suggested that a solution to the transport equation which includes anisotropic scattering can be approximated by the solution to a telegrapher's equation [A.J. Ishimaru, Appl. Opt. 28, 2210 (1989)]. We show that in one dimension the telegrapher's equation furnishes an exact solution to the transport equation. In two dimensions, we show that, since the solution can become negative, the telegrapher's equation will not furnish a usable approximation. A comparison between simulated data in three dimensions indicates that the solution to the telegrapher's equation is a good approximation to that of the full transport equation at the times at which the diffusion equation furnishes an equally good approximation.
26-07-2011
Física estadística
Termodinàmica
Teoria del transport
Statistical physics
Thermodynamics
Transport theory
(c) American Physical Society, 1997
Artículo
The American Physical Society
         

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