Title:
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When telegrapher's equation furnishes a better approximation to transport equation than the difussion approximation
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Author:
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Porrà i Rovira, Josep Maria; Masoliver, Jaume, 1951-; Weiss, George H. (George Herbert), 1930-
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Other authors:
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Universitat de Barcelona |
Abstract:
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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. |
Subject(s):
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-Física estadística -Termodinàmica -Teoria del transport -Statistical physics -Thermodynamics -Transport theory |
Rights:
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(c) American Physical Society, 1997
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Document type:
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Article Article - Published version |
Published by:
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The American Physical Society
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