Abstract
In general, plasma motion induced by an electric field produces an electromagnetic field. However, in many cases of interest, the field produced by the plasma motion can be represented solely by an electric field, without being accompanied by magnetic field perturbations. Such is the case when a charge density fluctuation is produced in a plasma with no magnetic field. In this case, the induced plasma motion is parallel to the electric field E due to the charge fluctuation, therefore the modification of the field due to the plasma motion is also parallel to E. As a result, the curl of E vanishes and no magnetic field results. A similar situation takes place when an electric field perturbation is along a static magnetic field. In these cases, the electric field can be expressed in terms of an electrostatic potential E = ‒∇ϕ. The plasma response that can be expressed by an electrostatic potential alone is called the electrostatic response. In this chapter, we shall consider only such responses.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
K.V. Roberts, H.L. Berk: Nonlinear Evolution of a Two-Stream Instability, Phys. Rev. Lett. 19, 297 (1967)
J.P. Freidberg, T.P. Armstrong: Nonlinear Development of the Two-Stream Instability, Phys. Fluids 11, 2699 (1968)
T. O’Neil, J.H. Winfrey, J.H. Malmberg: Nonlinear Interaction of a Small Cold Beam and a Plasma, Phys. Fluids 14, 1204 (1971)
A.B. Mikhailovskii: Theory of Plasma Instabilities, Vol. 2, Chap. 3 (Consultants Bureau, New York 1974)
D.W. Ross, S.M. Mahajan: Are Drift-Wave Eigenmodes Unstable?, Phys. Rev. Lett. 40, 324 (1978)
K.T. Tsang, P.J. Catto, J.C. Whitson, I.Smith: Absolute Universal Instability is Not Universal, Phys. Rev. Lett. 40, 327 (1978)
T.M. Antonsen, Jr.: Stability of Bound Eigenmode Solutions for the Collisionless Universal Instability, Phys. Rev. Lett. 41, 33 (1978)
H. Ikezi, R.J. Taylor, D.R. Baker: Formation and Interaction of Ion-Acoustic Solitons, Phys. Rev. Lett. 25, 11 (1970)
H. Ikezi: Experiments on Ion-Acoustic Solitary Waves, Phys. Fluids 16, 1668 (1973)
M.Q. Tran: Ion Acoustic Solitons in a Plasma: A Review of Their Experimental Properties and Related Theories, Physica. Scripta 20, 317 (1979)
V. Zakharov, A.B. Shabat: Exact Theory of Two-Dimensional Self-Focusing and OneDimensional Self-Modulation of Waves in Nonlinear Media, Sov. Phys. -JETP 34, 62 (1972)
T. Taniuti, N. Yajima: Perturbation Method for a Nonlinear Wave Modulation I., II., J. Math. Phys. 10, 1369, 2020 (1969)
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1990 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Nishikawa, K., Wakatani, M. (1990). Electrostatic Response. In: Plasma Physics. Springer Series on Atoms+Plasmas, vol 8. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-02658-8_5
Download citation
DOI: https://doi.org/10.1007/978-3-662-02658-8_5
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-02660-1
Online ISBN: 978-3-662-02658-8
eBook Packages: Springer Book Archive