✦ LIBER ✦

Noise-induced transitions: An example from linear transport theory

✍ Scribed by S.V.G. Menon; Vinod Kumar; Sudhir R. Jain

Book ID: 103893488
Publisher: Elsevier Science
Year: 1988
Tongue: English
Weight: 734 KB
Volume: 152
Category: Article
ISSN: 0378-4371
DOI: 10.1016/0378-4371(88)90191-4

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✦ Synopsis

The statistics of the reflection and transmission coefficients of a two-state Markov medium is analysed using the rod model of the invariant imbedding approach in linear transport theory.

The presence of a noise-induced transition in the reflectivity of a semi-infinite medium, as the mean size of the fluid packets is varied, is pointed out. Expressions for the moments of the transmission coefficient and the mean thickness of the medium, required to yield a specified transmission coefficient in the cases of a purely absorbing and purely scattering medium, are derived.

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