Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- 1 Introduction
- 2 Characteristic Parameters of a Plasma
- 3 Single-Particle Motions
- 4 Waves in a Cold Plasma
- 5 Kinetic Theory and the Moment Equations
- 6 Magnetohydrodynamics
- 7 MHD Equilibria and Stability
- 8 Discontinuities and Shock Waves
- 9 Electrostatic Waves in a Hot Unmagnetized Plasma
- 10 Waves in a Hot Magnetized Plasma
- 11 Nonlinear Effects
- 12 Collisional Processes
- Appendix A Symbols
- Appendix B Useful Trigonometric Identities
- Appendix C Vector Differential Operators
- Appendix D Vector Calculus Identities
- Index
- References
10 - Waves in a Hot Magnetized Plasma
Published online by Cambridge University Press: 16 March 2017
Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- 1 Introduction
- 2 Characteristic Parameters of a Plasma
- 3 Single-Particle Motions
- 4 Waves in a Cold Plasma
- 5 Kinetic Theory and the Moment Equations
- 6 Magnetohydrodynamics
- 7 MHD Equilibria and Stability
- 8 Discontinuities and Shock Waves
- 9 Electrostatic Waves in a Hot Unmagnetized Plasma
- 10 Waves in a Hot Magnetized Plasma
- 11 Nonlinear Effects
- 12 Collisional Processes
- Appendix A Symbols
- Appendix B Useful Trigonometric Identities
- Appendix C Vector Differential Operators
- Appendix D Vector Calculus Identities
- Index
- References
Summary
An extension of the Landau analysis method presented in Chapter 9 is given to waves propagating in hot magnetized plasmas. The analysis presented reveals an entirely new category of both electrostatic and electromagnetic waves that propagate near harmonics of the electron and ion cyclotron frequencies. These waves are called “Bernstein modes.” For certain types of velocity distribution functions these and other previously analyzed modes, such the whistler mode, can become unstable. Especially notable for being unstable are velocity distribution functions that are rotationally anisotropic with respect to the static magnetic field, such as the loss cone in a planetary radiation belt. Such waves often cause violations of the adiabatic invariants (as in Chapter 3), and cause pitch-angle scattering that leads to the loss of particles from planetary radiation belts. Similar processes also occur for magnetically confined laboratory plasmas.
- Type
- Chapter
- Information
- Introduction to Plasma PhysicsWith Space, Laboratory and Astrophysical Applications, pp. 378 - 427Publisher: Cambridge University PressPrint publication year: 2017
References
1957. A study of the audio-frequency radio phenomena known as “dawn chorus”, Australian J. Phys.
10, 286–298.Google Scholar
1970. Mathematical Methods for Physicists. New York: Academic Press, pp. 488.
, and
1978. Nonconvective and convective electron cyclotron harmonic instabilities. J. Geophys. Res. 83, 1531–1543.Google Scholar
, and
1992. Elementary Differential Equations and Boundary Value Problems, Fifth Edition. New York: Wiley.
, and
1962. Anomalous diffusion arising from microinstabilities in a plasma. Phys. Fluids
5, 1507–1513.Google Scholar
, and
1966. Ion temperature in the ionosphere obtained from cyclotron damping of proton whistlers. J. Geophys. Res. 71, 3639–3652.Google Scholar
1989. Path integrated growth of electrostatic waves: the generation of terrestrial myriametric radiation, J. Geophys. Res. 94, 8895.Google Scholar
, and
2003. Relativistic electron acceleration and precipitation during resonant interaction with whistler-mode chorus. Geophys. Res. Lett. 30(10), 1527.Google Scholar
, and
1967. Resonant particle instabilities in a uniform magnetic field. J. Plasma Phys. 1(1), 75–80.Google Scholar
, , , , and
1997. The numerical simulation of VLF chorus and discrete emissions observed on the Geotail spacecraft using a Vlasov code. J. Geophys. Res. 102(A12), 27083–27097.Google Scholar
, , and
2007. Relativistic turning acceleration of resonant electrons by coherent whistler waves in a dipole magnetic field. J. Geophys. Res. 112, A06236.Google Scholar
Rö
1983. Computation of the dielectric tensor of a Maxwellian plasma. Plasma Phys. 25, 699–701.Google Scholar
1992. Waves in Plasmas. New York: American Institute of Physics, pp. 237–293.
, and
2003. Relativistic electron pitch-angle scattering by electromagnetic ion cyclotron waves during geomagnetic storms. J. Geophys. Res. 108(A4), 1143.Google Scholar
, and
1970. Cyclotron harmonic wave propagation and instabilities, I. Perpendicular propagation. J. Plasma Phys. 4, 231–248.Google Scholar
1995. A Treatise on the Theory of Bessel Functions, Cambridge Mathematical Library Edition. Cambridge: Cambridge University Press, p. 395. Originally published in 1922.
1990. Introduction to Plasma Physics and Controlled Fusion. New York: Plenum Press, Chapter 7.
1983. Introduction to Plasma Theory. Malabar, FL: Krieger Publishing, Chapter 6.
1992. Waves in Plasmas. New York: American Institute of Physics, Chapters 10 and 11.
1989. Plasma Waves. San Diego, CA: Academic Press, Section 4.3.