Abstract
In the following lectures, a brief introduction into the kinetic theory of plasma waves and into the interaction of waves with plasma particles is presented.
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
Montgomery, D.C. and Tidman, D.A.: Plasma Kinetic Theory, MacGraw-Hill, New York 1964.
Sanderson, J.J.: Kinetic Theory, in: Plasma Physics and Nuclear Fusion Research (Ed. R.D. Gill), Academic Press, London 1981, 119–154.
Krall, N.A. and Trivelpiece, A.W.: Principles of Plasma Physics, MacGraw-Hill, New York 1973.
Wesson, J.: Tokamaks, Oxford Science Publications, Oxford 1987.
Vlasov, A.A.: J. Phys. (USSR), 8 (1938), 25.
Landau, L.L.: J. Phys. (USSR), 10 (1946), 25.
Goldstein, H.: Classical Mechanics, Addison-Wesley, Reading, Mass. 1951.
O’Neil, T.M.: Collisionless damping of nonlinear plasma oscillations, Phys. Fluids, 8 (1965), 2255–2262.
Rosenbluth, M.N.: Microinstabilities, in: Plasma Physics (Seminar, Trieste, 1964 ), IAEA, Vienna 1965, 485–513.
Drummond, W.E. and Pines, D.: Nonlinear stability of plasma oscillations, Nucl. Fusion, Suppl. Pt. 3 (1962), 1049–1057.
Vedenov, A.A., Velikhov, E.P. and Sagdeev, R.Z.: Nonlinear oscillations of rarified plasma, Nucl. Fusion, 1 (1961), 82–100.
Tsunoda, T.I., Doveil, F. and Malmberg, J.H.: Experimental test of quasilinear theory, Phys. Fluids, B 3 (1991), 2747–2757.
T.H.Stix, Waves in Plasmas, American Institute of Physics, New York 1992.
in: Voprosy teorii plasmy 3, Gosatomizdat, Moscow 1963, 203–244.
Zaslayskii, G.M.: Stochasticity of Dynamical Systems (in Russian), Nauka, Moscow 1984.
Cary, J.R., Doxas, I., Escande, D.F. and Verga, A.D.: Enhancement of the velocity diffusion in longitudinal plasma turbulence, Phys. Fluids, B 4, (1992), 2062–2069.
Laval, G. and Pesme, D.: Inconsistency of quasilinear theory, Phys. Fluids, 26 (1983), 66–68.
Laval, G. and Pesme, P.: Self-consistency effects in quasilinear theory: a model for turbulent trapping, Phys. Rev. Lett., 53 (1984), 270–273.
Cary, J.M., Escande, D.F. and Verga, A.D.: Nonquasilinear diffusion far from the chaotic threshold, Phys. Rev. Lett., 65 (1990), 3132–3135.
Cook, I.: Plasma Turbulence, in: Plasma Physics and Nuclear Fusion Research (Ed. R.D.Gill), Academic Press, London 1981, 293–304.
Dupreé, T.H.: A perturbation theory for strong plasma turbulence, Phys. Fluids, 9 (1966), 1773–1782.
Akchiezer, A.I.: Plasma Electrodynamics (in Russian), Nauka, Moscow 1974.
Brambilla, M. and Cardinali, A.: Eikonal description of hf waves in toroidal plasmas, Plasma Physics, 24 (1982), 1187–1218.
Wersinger, J.M., Ott, E. and Finn, J.M.: Ergodic behavior of lower hybrid decay wave ray trajectories in toroidal geometry, Phys. Fluids, 21 (1978), 2263–2267.
Bonoli P.T. and Ott, E.: Toroidal and scattering effects in lower-hybrid wave propagation, Phys. Fluids, 25 (1982), 359–375.
Fisch, N.J.: Confining a tokamak plasma with rf-driven currents, Phys. Rev. Lett., 41 (1978). 873–876.
Pavlo, P., KrlĂn L. and Thtor, Z.: Effects of magnetized alpha particles on lower hybrid heating and current drive in a reactor grade plasma, Nucl. Fusion, 31 (1991), 711–727; ITER-IL-Ph-6–9-S-23, Max-Planck-Institut fuer Plasma Physik, Garching, 1991.
KlĂma, R. and Longinov, A.V.: Excitation of a stationary current in a toroidal plasma by waves with a wide spectrum, Fiz. Plazmy, 5 (1979), 496–500.
Barbato, E. and Santiti, F.: Quasi-linear absorption of lower hybrid waves by fusion generated alpha particles, Nucl. Fusion, 31 (1991), 673–685.
Spada, M., Bornatici, M. and Engelmann, F.: Absorption of lower hybrid slow waves by fusion alpha particles, Nucl. Fusion, 31 (1991), 447–458.
Chen, L., Vaclavik, J. and Hammet, G.W.: Ion radial transport induced by ICRF waves in tokamaks, Nucl. Fusion, 28 (1988), 389–398.
Lichtenberg, A.J. and Lieberman, M.A.: Regular and Stochastic Motion, Springer, Berlin 1983.
Balescu, R.: Equilibrium and Nonequilibrium Statistical Mechanics, Wiley, New York 1978.
Whiteman, K.J.: Invariants and stability in classical mechanics, Rep. Progr. Phys., 40 (1977), 1033–1069.
KrlĂn, L.: The intrinsic stochasticity of near-integrable Hamiltonian systems, Fortschr. Phys., 37 (1989), 735–760.
Zaslayskii, G.M. and Chirikov, B.V.: The stochastic instability of non-linear oscillations, Uspekhi Fiz. Nauk, 105 (1971), 3–39.
Whang, K.W. and Morales, G.J.: ICRF heating and its effects on single-particle confinement in tokamaks, Nucl. Fusion, 23 (1983), 481–497.
KrlĂn, L., Pavlo, P., Tluchor, Z. and Gâsek, Z.: On the stochastic interaction of monochromatic AlfĂ©n waves with toroidally trapped particles, Plasma Physics and Contr. Fusion, 29 (1987), 1653–1674.
Gssek, Z., KrlĂn, L. and Tluchor, Z.: On the stochastic interaction of toroidally trapped alpha particles with lower hybrid waves in the tokamak reactor regime, Physics Letters, 135 (1989), 284–289.
Sagdeev, R.Z. and Galeev, A.A.: Nonlinear Plasma Theory, Benjamin, New York 1969.
Manley, J.M. and Rowe, H.E., Proc. IRE, 47 (1959), 2155.
Kadomtsev, B.B.: Collective Phenomena in Plasmas (in Russian), Nauka, Moscow 1976.
Davidson, R.C.: Methods in Nonlinear Plasma Theory, Academic Press, New York 1972.
Ott, E. and Dum, C.T.: Nonlinear Landau damping and beat wave trapping, Phys. Fluids, 14 (1971), 959–961.
Mima, K.: Modification of weak turbulent theory due to perturbed orbit effects. II. Nonlinear Landau damping of electron plasma waves, J. Phys. Soc. Jap., 35 (1973), 261–271.
KrlĂn, L.: Application of the theory of mixing systems to nonlinear Landau damping, J. Plasma Phys., 12, part 3 (1974), 365–379.
hrlĂn, L.: Effect of trapped particles in the beat of two waves on the wave dynamics, Czech. J. Phys. B, 31 (1981), 383–398.
Nambu, M. and Hada, T.: Conservation relations and violation of the Manley-Rowe relation for plasma-maser instability, Phys. Fluids, B 3 (1993), 743–751.
Nambu, M., Sarma, S.N. and Sarma, K.K.: Momentum source of the plasma maser, Phys. Rev., A 45 (1992), 7456–7462.
KrlĂn, L.: On acceleration of particles trapped in the potential trough of the beat of two waves, Plasma Physics, 245 (1982), 775–781.
Srivastava, S. and Morales, G.J.: Nonlinear Landau damping of resonantly excited plasma waves in a nonuniform plasma, Bull. Am. Phys. Soc., 34 (1989), 2025.
Srivastava, S., Morales, G.J. and Maggs, J.E.: Nonlinear Landau damping of resonantly excited fields in nonuniform plasmas, Bull. Am. Phy. Soc., 37 (1992), 1359.
Tajima, T. and Dawson, J.M.: Laser electron accelerator, Phys. Rev. Lett., 43 (1979), 267–270.
Mikhailovskii, A.B.: Theory of Plasma Instabilities (in Russian), Atomizdat, Moscow 1970.
O’Neil, T.M. and Winfrey, J.H.: Nonlinear interaction of a small cold beam and a plasma, part II, Phys. Fluids, 15 (1972), 1514–1522.
Drummond, W.E., Malmberg, J.H., O’Neil, T.M. and Thompson, J.R.: Nonlinear development of the beam-plasma instability, Phys. Fluids, 13 (1970), 2422–2425.
Jungwirth, K. and KrlĂn, L.: Generation of an intensive stationary wave in modulated beam-plasma systems, Plasma Physics, 17 (1975), 861–873.
Kruer, W.L., Dawson, J.M. and Sudan, R.N.: Trapped-particle instability, Phys. Rev. Lett., 23 (1969), 838–841.
KrlĂn, L.: On the instability of systems with trapped particles, Plasma Physics, 19 (1977), 109–115.
Shoucri, M.: Destruction of trapping oscillations by sideband instability, Phys. Fluids, 23 (1980), 2030–2033.
Riyopoulos, S. and Tang, C.M.: Chaotic electron motion caused by sidebands in free electron lasers, Phys. Fluids, 31 (1988), 3387–3402.
Cohen, B.I. and Cohen, R.H.: An electromagnetic trapped-particle sideband instability, Preprint UCRL-98746, Lawrence Livermore National Laboratory, 1988.
Guss, W.C., Basen, M.A., Kreischer, K.E., Temkin, R.J., Antonsen, T.A., Cai, Jr., S.Y., Saraph, C. and Levush, B.: Sideband mode competition in a gyrotron oscillator, Phys. Rev. Lett., 69 (1992), 3727–3730.
Drummond, W.E.: Quasi-Linear Theory of Plasma Turbulence, in: Plasma Physics (Seminar, Trieste, 1964 ), IAEA, Vienna 1965, 527–541.
Chen, F.F.: Introduction to Plasma Physics, Plenum Press, New York and London 1974.
Fisch, N.J.: Theory of current drive in plasmas, Rev. Mod. Phys., 59 (1987), 175–234.
Pifl, V., Sunka, P., Ullschmied, J., Jungwirth, K. and KrlĂn, L.: Some non-linear phenomena associated with high-frequency beam-plasma instabilities, Plasma Physics and Controlled Nuclear Fusion Research (1971), IAEA, Vienna 1972, 155–163.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1994 Springer-Verlag Wien
About this chapter
Cite this chapter
Krlìn, L. (1994). Basic Features of the Kinetic Theory of Plasma Waves and of Waves-Particles Interaction. In: Cap, F. (eds) Waves and Instabilities in Plasmas. CISM International Centre for Mechanical Sciences, vol 349. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2700-1_2
Download citation
DOI: https://doi.org/10.1007/978-3-7091-2700-1_2
Publisher Name: Springer, Vienna
Print ISBN: 978-3-211-82636-2
Online ISBN: 978-3-7091-2700-1
eBook Packages: Springer Book Archive