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Noise-induced transitions: An example from linear transport theory

Author

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  • Menon, S.V.G.
  • Kumar, Vinod
  • Jain, Sudhir R.

Abstract

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.

Suggested Citation

  • Menon, S.V.G. & Kumar, Vinod & Jain, Sudhir R., 1988. "Noise-induced transitions: An example from linear transport theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 152(3), pages 328-342.
    • Handle: RePEc:eee:phsmap:v:152:y:1988:i:3:p:328-342
    DOI: 10.1016/0378-4371(88)90191-4
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