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Consider a beam of high-energy cosmic ray protons streaming along a uniform background magnetic field in a collisionless plasma. Let

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Consider a beam of high-energy cosmic ray protons streaming along a uniform background magnetic field in a collisionless plasma. Let the cosmic rays have an isotropic distribution function in a frame that moves along the magnetic field with speed u, and assume that u is large compared with the Alfvén speed but small compared with the speeds of the individual cosmic rays. Adapt our discussion of the emission of Langmuir waves by a bump-on-tail distribution to show that the growth rate is given to order of magnitude by Eq. (23.68).

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ncr ср = (2+)², (²-1). np 0; - (23.68)

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The equation is the growth rate of the Langmuir waves excited by the streaming cosmic rays It can be …View the full answer


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Modern Classical Physics Optics Fluids Plasmas Elasticity Relativity And Statistical Physics

Modern Classical Physics Optics Fluids Plasmas Elasticity Relativity And Statistical Physics

ISBN: 9780691159027

1st Edition

Authors: Kip S. Thorne, Roger D. Blandford

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Question Details
Chapter # 23
Section: Exercises
Problem: 8
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Question Posted: August 06, 2023 05:03:31
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