Abstract
The dynamics of a layer of ionospheric plasma ions is investigated. The layer borders the conducting surface of an electrically insulated negatively charged cylindrical probe. Self-consistent solutions to a nonlinear system of magnetohydrodynamics equations for plasma are obtained. The solutions satisfy non-stationary absorbing boundary conditions imposed on the probe’s surface and are expressed in quadratures. The electric-field intensity and the velocity, concentration, and density of the ion current are found, and the rate of the variation of the probe’s charge is determined. It is shown that, in time, the solutions to this system approach their asymptotic values. The time dependence of the ion current flowing to the probe is obtained; i.e., the probe’s transient response corresponding to the volt-ampere characteristic of a Langmuir probe with a negative bias is found.
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References
C. H. Shih and E. Levi, Am. Aeronaut. Astronaut. J. 10(1), 104 (1972).
V. A. Fedorov, Pis’ma Zh. Tekh. Fiz. 31(9), 58 (2005) [Tech. Phys. Lett. 31, 385 (2005)].
D. Bohm, The Characteristics of Electrical Discharges in Magnetic Fields, Ed. by A. Guthrie and R. K. Wakerling (McGrow-Hill, New York, 1949), p. 77.
Ya. L. Al’pert, A. V. Gurevich, and L. P. Pitaevskii, Space Physics with Artificial Satellites (Nauka, Moscow, 1964; Consultants Bureau, New York, 1965).
P. M. Chung, L. Talbot, and K. J. Touryan, Electric Probes in Stationary and Flowing Plasmas (Springer-Verlag, New York, 1975; Mir, Moscow, 1978).
B. V. Alekseev and V. A. Kotel’nikov, Probe Method for Plasma Diagnostics (Energoatomizdat, Moscow, 1988) [in Russian].
I. I. Litvinov, Dokl. Akad. Nauk 360(1), 34 (1998) [Dokl. Phys. 43, 261 (1998)].
V. A. Fedorov, in Tes. XXXII Int. Conf. on Plasma Physics and Controlled Thermonuclear Synthesis, Zvenigorod, Moscow Reg., Feb. 14–18, 2005 (ZAO NTTs “Plazma IOFAN”, Moscow, 2005).
V. L. Ginzburg and A. A. Rukhadze, Waves in Magnetoactive Plasma (Nauka, Moscow, 1970) [in Russian].
L. I. Sedov, A Course in Continuum Mechanics (Nauka, Moscow, 1983; Wolters-Noordhoff, Groningen, 1971), Vol. 1.
K. P. Stanyukovich, Nonsteady Motions of a Solid Medium (Nauka, Moscow, 1971) [in Russian].
A. V. Gurevich and A. B. Shvartsburg, The Nonlinear Theory of Radio Waves Propagation in the Ionosphere (Nauka, Moscow, 1973) [in Russian].
D. A. Frank-Kamenetskii, A Course on Plasma Physics (Atomizdat, Moscow, 1964) [in Russian].
I. I. Ol’khovskii, A Course of Theoretical Mechanics for Physicists (Nauka, Moscow, 1970) [in Russian].
V. A. Fedorov, Zh. Tekh. Fiz. 77(4), 92 (2007) [Tech. Phys. 52, 483 (2007)].
I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products (Fizmatgiz, Moscow, 1962; Academic, New York, 1980).
V. A. Fedorov, Radiotekh. Elektron. (Moscow) 50, 347 (2005) [J. Commun. Technol. Electron. 50, 321 (2005)].
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Original Russian Text © V.A. Fedorov, 2009, published in Radiotekhnika i Elektronika, 2009, Vol. 54, No. 11, pp. 1372–1381.
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Fedorov, V.A. A nonstationary cylindrical probe with a self-consistent negative electric charge in ionospheric plasma. J. Commun. Technol. Electron. 54, 1301–1309 (2009). https://doi.org/10.1134/S1064226909110102
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DOI: https://doi.org/10.1134/S1064226909110102