Collision Damping of Plasma Oscillations. I

David Gorman; David Montgomery

doi:10.1103/PhysRev.131.7

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Collision Damping of Plasma Oscillations. I

David Gorman^*

David Montgomery^†

Mathematics Department, Washington University, Saint Louis, Missouri

Institute for Fluid Dynamics and Applied Mathematics, University of Maryland, College Park, Maryland

^*This work was partially supported by National Science Foundation Grant NSF-G24834.
^†Supported in part by the National Aeronautics and Space Administration under Contract NsG 220-62, and in part by subcontract 2155 with the Union Carbide Company, Oak Ridge, Tennessee.

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Phys. Rev. 131, 7 – Published 1 July, 1963

DOI: https://doi.org/10.1103/PhysRev.131.7

Abstract

Collision damping of long-wavelength electrostatic oscillations in a high-temperature plasma is studied with the use of Guernsey's kinetic equation. A closed expression for $γ_{C} (k)$ , the collision damping decrement, is derived which is exact to first order in the plasma parameter, $\frac{{k_{D}}^{3}}{n}$ .

References (9)

L. Landau, J. Phys. (U.S.S.R.) 10, 25 (1946)
D. F. DuBois, V. Gilinsky, and M. G. Kivelson, Phys. Rev. 129, 2376 (1963)
Y. H. Ichikawa, Progr. Theoret. Phys. (Kyoto) 24, 1083 (1960)
C. R. Willis, Phys. Fluids 5, 219 (1962)
C. Oberman, A. Ron, and J. Dawson [Phys. Fluids 5, 1514 (1962)]
R. L. Guernsey, Phys. Fluids 5, 322 (1962)
N. Rostoker and M. N. Rosenbluth, Phys. Fluids 3, 1 (1960)
N. I. Muskhelishvili, Singular Integral Equations (P. Noordhoff Ltd., Groningen, The Netherlands, 1953)
T. H. Dupree [Phys. Fluids 4, 696 (1961)]

[c1] L. Landau, J. Phys. (U.S.S.R.) 10, 25 (1946)

[c2] D. F. DuBois, V. Gilinsky, and M. G. Kivelson, Phys. Rev. 129, 2376 (1963)

[c3] Y. H. Ichikawa, Progr. Theoret. Phys. (Kyoto) 24, 1083 (1960)

[c4] C. R. Willis, Phys. Fluids 5, 219 (1962)

[c5] C. Oberman, A. Ron, and J. Dawson [Phys. Fluids 5, 1514 (1962)]

[c6] R. L. Guernsey, Phys. Fluids 5, 322 (1962)

[c7] N. Rostoker and M. N. Rosenbluth, Phys. Fluids 3, 1 (1960)

[c8] N. I. Muskhelishvili, Singular Integral Equations (P. Noordhoff Ltd., Groningen, The Netherlands, 1953)

[c9] T. H. Dupree [Phys. Fluids 4, 696 (1961)]

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Collision Damping of Plasma Oscillations. I

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References (9)

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