Abstract
Transport and virial equations, as well as the equation for the mean total transverse energy of a particle from a transverse segment of an electron beam, are used for deriving an expression for the rms radius of a beam propagating in dense and rarefied gas-plasma media along an external magnetic field.
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References
A. A. Rukhadze, L. S. Bogdankevich, S. E. Rosinskii, et al., Physics of High-Current Relativistic Electron Beams (Atomizdat, Moscow, 1980) [in Russian].
A. N. Didenko, V. P. Grigor’ev, and Yu. P. Usov, High-Power Electronic Beams and Their Applications (Atomizdat, Moscow, 1977) [in Russian].
M. V. Kuzelev and A. A. Rukhadze, Electrodynamics of Dense Electron Beams in Plasmas (Nauka, Moscow, 1990) [in Russian].
R. B. Miller, Introduction to the Physics of Intense Charged Particle Beams (Plenum, New York, 1982; Mir, Moscow, 1984).
E. P. Lee, Phys. Fluids 19, 60 (1976).
E. P. Lee, Phys. Fluids 21, 1327 (1978).
H. L. Buchanan, Phys. Fluids 30, 221 (1987).
E. R. Nadezhdin and G. A. Sorokin, Fiz. Plazmy 9, 988 (1983) [Sov. J. Plasma Phys. 9, 576 (1983)].
L. V. Glazychev and G. A. Sorokin, Fiz. Plazmy 16, 592 (1990) [Sov. J. Plasma Phys. 16, 340 (1990)].
N. A. Kondrat’ev and V. I. Smetanin, Zh. Tekh. Fiz. 75(3), 67 (2005) [Tech. Phys. 50, 351 (2005)].
R. F. Fernsler, R. F. Hubbard, and M. Lampe, J. Appl. Phys. 75, 3278 (1994).
E. P. Lee and R. K. Cooper, Part. Accel. 7, 83 (1976).
E. K. Kolesnikov and A. D. Savkin, Pis’ma Zh. Tekh. Fiz. 20(1), 54 (1994) [Tech. Phys. Lett. 20, 26 (1994)].
E. K. Kolesnikov and A. S. Manuilov, Radiotekh. Élektron. (Moscow) 37, 694 (1992).
E. K. Kolesnikov and A. S. Manuilov, Zh. Tekh. Fiz. 70(5), 68 (2000) [Tech. Phys. 45, 591 (2000)].
E. K. Kolesnikov and A. S. Manuilov, Zh. Tekh. Fiz. 70(7), 127 (2000) [Tech. Phys. 45, 939 (2000)].
A. S. Manuilov, Zh. Tekh. Fiz. 70(1), 76 (2000) [Tech. Phys. 45, 74 (2000)].
E. R. Nadezhdin and G. A. Sorokin, Fiz. Plazmy 14, 619 (1988) [Sov. J. Plasma Phys. 14, 365 (1988)].
E. K. Kolesnikov, Fiz. Plazmy 28, 360 (2002) [Plasma Phys. Rep. 28, 327 (2002)].
A. S. Manuilov, Zh. Tekh. Fiz. 75(4), 103 (2005) [Tech. Phys. 50, 491 (2005)].
E. K. Kolesnikov and A. S. Manuilov, Zh. Tekh. Fiz. 74(9), 103 (2004) [Tech. Phys. 49, 1208 (2004)].
E. K. Kolesnikov and A. S. Manuilov, Zh. Tekh. Fiz. 75(7), 119 (2005) [Tech. Phys. 50, 987 (2005)].
R. Libov, Introduction to the Theory of Kinetic Equations (Wiley, New York, 1969; Mir, Moscow, 1974).
S. Chandrasekhar, Stochastic Problems in Physics and Astronomy (Rev. Mod. Phys. 15 (1943); GIIL, Moscow, 1947).
C. Cercignani, Theory and Application of the Boltzmann Equation (Elsevier, New York, 1975; Mir, Moscow, 1978).
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Original Russian Text © E.K. Kolesnikov, A.S. Manuilov, 2007, published in Zhurnal Tekhnicheskoĭ Fiziki, 2007, Vol. 77, No. 8, pp. 109–113.
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Kolesnikov, E.K., Manuilov, A.S. Equation for the RMS radius of a relativistic electron beam propagating in dense and rarefied gas-plasma media along an external magnetic field. Tech. Phys. 52, 1068–1072 (2007). https://doi.org/10.1134/S1063784207080178
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DOI: https://doi.org/10.1134/S1063784207080178