Electrical Conductivity of a Fully Ionized Plasma in a Strong Magnetic Field

Umur Daybelge

doi:10.1103/PhysRev.187.296

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Electrical Conductivity of a Fully Ionized Plasma in a Strong Magnetic Field

Umur Daybelge

Technical and Scientific Research Council of Turkey, Applied Mathematics Division, Insaat Fakültesi, Teknik Üniversite-Istanbul, Turkey

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Phys. Rev. 187, 296 – Published 5 November, 1969

DOI: https://doi.org/10.1103/PhysRev.187.296

Abstract

This paper presents a method of obtaining exact transport coefficients of a plasma in a strong magnetic field. The method is based on Kihara and Aono's unified theory. As an application of the method, the electrical conductivity of a fully ionized plasma in a strong magnetic field has been calculated. The departure from the ordinary theory is expressed by a function $χ$ , which depends on the ratio of the Debye length to the electron gyroradius. Numerical values of $χ$ are given.

References (18)

T. Kihara, Y. Midzuno, and S. Kaneko, J. Phys. Soc. Japan 15, 1101 (1960)
V. L. Gurevich and Yu. A. Firsov, Zh. Eksperim. i Teor. Fiz. 41, 1151 (1961) [English transl.: Soviet Phys. - JETP 14, 822 (1962)]
V. P. Silin, Zh. Experim. i Teor. Fiz. 43, 1813 (1963) [English transl.: Soviet Phys. - JETP 16, 1281 (1963)]
V. E. Golant, Zh. Tekhn. Fiz. 33, 3 (1963) [English transl.: Soviet Phys. - Tech. Phys. 8, 1 (1963)]
Y. M. Aliev and A. R. Shister, Zh. Eksperim. i Teor. Fiz. 45, 1499 (1963) [English transl.: Soviet Phys. - JETP 18, 1035 (1964)]
S. Chapman and T. G. Cowling, The Mathematical Theory of Non-Uniform Gases (Cambridge University Press, New York, 1958)
M. N. Rosenbluth, Advanced Plasma Theory (Academic Press Inc., New York, 1964)
I. P. Shkarofsky, T. W. Johnston, and M. P. Bachynski, The Particle Kinetics of Plasmas (Addison-Wesley Publishing Co., Inc., Reading, Mass., 1966)
Ta-You Wu, Kinetic Equations of Gases and Plasmas (Addison-Wesley Publishing Co., Inc., Reading, Mass. 1966)
T. Kihara and O. Aono, J. Phys. Soc. Japan 18, 837 (1963)
D. E. Baldwin, Phys. Fluids 5, 1523 (1962)
H. A. Gould and H. E. DeWitt, Phys. Rev. 155, 68 (1967)
T. Kihara, J. Phys. Soc. Japan 19, 108 (1964)
N. Rostoker, Phys. Fluids 3, 922 (1960)
V. M. Eleonskii, P. S. Zyryanov, and V. P. Silin, Zh. Eksperim. i Teor. Fiz. 42, 896 (1962) [English transl.: Soviet Phys. - JETP 15, 619 (1962)]
Y. Itikawa, J. Phys. Soc. Japan 21, 1387 (1966)
A. G. Sitenko, Electromagnetic Fluctuations in Plasmas (Academic Press Inc., New York, 1967)
U. Daybelge, J. Phys. Soc. Japan 27, 463 (1969)

[c1] T. Kihara, Y. Midzuno, and S. Kaneko, J. Phys. Soc. Japan 15, 1101 (1960)

[c2] V. L. Gurevich and Yu. A. Firsov, Zh. Eksperim. i Teor. Fiz. 41, 1151 (1961) [English transl.: Soviet Phys. - JETP 14, 822 (1962)]

[c3] V. P. Silin, Zh. Experim. i Teor. Fiz. 43, 1813 (1963) [English transl.: Soviet Phys. - JETP 16, 1281 (1963)]

[c4] V. E. Golant, Zh. Tekhn. Fiz. 33, 3 (1963) [English transl.: Soviet Phys. - Tech. Phys. 8, 1 (1963)]

[c5] Y. M. Aliev and A. R. Shister, Zh. Eksperim. i Teor. Fiz. 45, 1499 (1963) [English transl.: Soviet Phys. - JETP 18, 1035 (1964)]

[c6] S. Chapman and T. G. Cowling, The Mathematical Theory of Non-Uniform Gases (Cambridge University Press, New York, 1958)

[c7] M. N. Rosenbluth, Advanced Plasma Theory (Academic Press Inc., New York, 1964)

[c8] I. P. Shkarofsky, T. W. Johnston, and M. P. Bachynski, The Particle Kinetics of Plasmas (Addison-Wesley Publishing Co., Inc., Reading, Mass., 1966)

[c9] Ta-You Wu, Kinetic Equations of Gases and Plasmas (Addison-Wesley Publishing Co., Inc., Reading, Mass. 1966)

[c10] T. Kihara and O. Aono, J. Phys. Soc. Japan 18, 837 (1963)

[c11] D. E. Baldwin, Phys. Fluids 5, 1523 (1962)

[c12] H. A. Gould and H. E. DeWitt, Phys. Rev. 155, 68 (1967)

[c13] T. Kihara, J. Phys. Soc. Japan 19, 108 (1964)

[c14] N. Rostoker, Phys. Fluids 3, 922 (1960)

[c15] V. M. Eleonskii, P. S. Zyryanov, and V. P. Silin, Zh. Eksperim. i Teor. Fiz. 42, 896 (1962) [English transl.: Soviet Phys. - JETP 15, 619 (1962)]

[c16] Y. Itikawa, J. Phys. Soc. Japan 21, 1387 (1966)

[c17] A. G. Sitenko, Electromagnetic Fluctuations in Plasmas (Academic Press Inc., New York, 1967)

[c18] U. Daybelge, J. Phys. Soc. Japan 27, 463 (1969)

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Electrical Conductivity of a Fully Ionized Plasma in a Strong Magnetic Field

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