Abstract:
A percussion on particles moving in a uniform magnetic field induces a distribution of charges in a plasma. The accrued charge tensor qik(x,t), which is the electric charge that has passed from t=0 to t through the unit area normal to xi due to a percussion of unit strength exerted in the xk direction at x=0 and t=0, is computed. The tensor qik is equivalent to the space-time polarization response of plasma electrodynamics. In this derivation, neither the Vlasov equation nor Fourier-Laplace transforms are employed. As an application, a priori bounds (i.e., independent of the distribution functions and of Laplace transforms) for the growth in time of plane-wave modes of a magnetized plasma are obtained by an operational method. The connection of the impulsion with statistical theoretical concepts is also noted. The fluctuation-dissipation theorem is given in a classical-physics version and it is found that the correlator of microscopic currents for noninteracting particles jijkx,t0 of a nonequilibrium plasma is related to qik through (/t)qik =(/E)jijkx,t0. © 1987 The American Physical Society.
Referencias:
- Rukhadze, A.A., Silin, V.P., Electrodynamics of media with spatial dispersion (1961) Uspekhi Fizicheskih Nauk, 74, p. 223
- (1961) Sov. Phys. Usp., 4, p. 459
- Yu. L. Klimontovich, Statistical Theory of Non-Equilibrium Processes in a Plasma (Pergamon, Oxford, 1967); Bernstein, I.B., (1958) Phys. Rev., 109, p. 10
- Akhiezer, A.I., Akhiezer, I.A., Polovin, R.V., Sitenko, A.G., Stepanov, K.N., (1975) Plasma Electrodynamics, , Pergamon, Oxford, Vol. 1
- Ichimaru, S., (1973) Basic Principles of Plasma Physics: A Statistical Approach, , Benjamin, London
- Gnavi, G., Gratton, F.T., The Polarization Response Function and the Dielectric Permittivity of a Plasma (1984) IEEE Transactions on Plasma Science, 12, p. 223
- Gnavi, G., Gratton, F.T., The Polarization Response Function and Electrostatic Modes of Focused Beams (1986) IEEE Transactions on Plasma Science, 14, p. 11
- Cary, J., Kaufman, A., (1977) Phys. Rev. Lett., 39, p. 402
- Backus, G., (1960) J. Math. Phys., 1, p. 178
- Sitenko, A.G., (1967) Electromagnetic Fluctuations in Plasma, p. 11. , Academic, New York, 35, 91, 94
- Shafranov, V.D., (1967) Reviews of Plasma Physics, 3, pp. 70-77. , edited by, M. A. Leontovich, Consultants Bureau, New York
- Whittaker, E.T., (1959) A Treatise on the Analytical Dynamics of Particles and Rigid Bodies, , Cambridge University Press, Cambridge
- Gnavi, G., Gratton, F.T., ; Erdelýi, A., (1966) Operational Calculus and Generalized Functions, , Holt, Reinhart, and Winston, New York
- Pécseli, H.L., Solitons and Weakly Nonlinear Waves in Plasmas (1985) IEEE Transactions on Plasma Science, 13, p. 53
- Brunner, H., van der Houwen, P.J., (1986) The Numerical Solution of Volterra Equations, , North-Holland, Amsterdam
Citas:
---------- APA ----------
Gnavi, G. & Gratton, F.T.
(1987)
. Impulsive motion of particles and polarization response of a plasma in a magnetic field. Physical Review A, 36(5), 2315-2324.
http://dx.doi.org/10.1103/PhysRevA.36.2315---------- CHICAGO ----------
Gnavi, G., Gratton, F.T.
"Impulsive motion of particles and polarization response of a plasma in a magnetic field"
. Physical Review A 36, no. 5
(1987) : 2315-2324.
http://dx.doi.org/10.1103/PhysRevA.36.2315---------- MLA ----------
Gnavi, G., Gratton, F.T.
"Impulsive motion of particles and polarization response of a plasma in a magnetic field"
. Physical Review A, vol. 36, no. 5, 1987, pp. 2315-2324.
http://dx.doi.org/10.1103/PhysRevA.36.2315---------- VANCOUVER ----------
Gnavi, G., Gratton, F.T. Impulsive motion of particles and polarization response of a plasma in a magnetic field. 1987;36(5):2315-2324.
http://dx.doi.org/10.1103/PhysRevA.36.2315