Analytical results on the breakdown of the convective amplifier model caused by space-time random fluctuations

Philippe Mounaix

doi:10.1063/1.871333

Analytical results on the breakdown of the convective amplifier model caused by space-time random fluctuations

Philippe Mounaix

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Abstract

The space and time behavior of backscattering instabilities is computed analytically in the strongly damped regime and in the presence of space-time random fluctuations. The fluctuations are described by a Gaussian process with exponentially decaying correlation function. The breakdown of the strongly damped model of the instability is obtained as a divergence of the average amplitude and intensity of the backscattered light [H. A. Rose and D. F. DuBois, Phys. Rev. Lett. 72, 2883 (1994)]. The length and time it takes for this divergence to occur is analytically computed.

Original language	English
Pages (from-to)	1804-1806
Number of pages	3
Journal	Physics of Plasmas
Volume	2
Issue number	6
DOIs	https://doi.org/10.1063/1.871333
Publication status	Published - 1 Jan 1995

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10.1063/1.871333

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abstract = "The space and time behavior of backscattering instabilities is computed analytically in the strongly damped regime and in the presence of space-time random fluctuations. The fluctuations are described by a Gaussian process with exponentially decaying correlation function. The breakdown of the strongly damped model of the instability is obtained as a divergence of the average amplitude and intensity of the backscattered light [H. A. Rose and D. F. DuBois, Phys. Rev. Lett. 72, 2883 (1994)]. The length and time it takes for this divergence to occur is analytically computed.",

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N2 - The space and time behavior of backscattering instabilities is computed analytically in the strongly damped regime and in the presence of space-time random fluctuations. The fluctuations are described by a Gaussian process with exponentially decaying correlation function. The breakdown of the strongly damped model of the instability is obtained as a divergence of the average amplitude and intensity of the backscattered light [H. A. Rose and D. F. DuBois, Phys. Rev. Lett. 72, 2883 (1994)]. The length and time it takes for this divergence to occur is analytically computed.

AB - The space and time behavior of backscattering instabilities is computed analytically in the strongly damped regime and in the presence of space-time random fluctuations. The fluctuations are described by a Gaussian process with exponentially decaying correlation function. The breakdown of the strongly damped model of the instability is obtained as a divergence of the average amplitude and intensity of the backscattered light [H. A. Rose and D. F. DuBois, Phys. Rev. Lett. 72, 2883 (1994)]. The length and time it takes for this divergence to occur is analytically computed.

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Analytical results on the breakdown of the convective amplifier model caused by space-time random fluctuations

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