Abstract
The paper investigates the physical significance of the so-called “resonance conditions” in accelerating plasmatic clusters between parallel conductors in a strong transversal magnetic field [1]. The problem of acceleration is generally formulated by the Lagrange and Hamiltonian functions and Lagrange and Hamiltonian equations. It is shown that an external constant magnetic field does not supply energy during acceleration but only regulates the use of energy from a discharge condenser. The conditions, under which the parameters of the circuit can be found for optimum acceleration of the plasmatic cluster without a complete solution of the equations of motion, are studied.
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References
Kracík J.: Czech. J. Phys.B 14 (1964), 683.
Rothhard L., Steenbeck M.: Forschungen u. Fortschritte37 (1963), 193.
Marshall J.: Phys. Fluids3 (1960), 135.
Dattner A.: Proc. of the Fourth Intern. Conf. on Ionization Phenomena in Gases, Uppsala (1959), North Holland Publ. Co., p. 1152.
Bakken J. A. et al.: Proc. of the Sixth Intern. Conf. on Ionization Phenomena in Gases, Paris (1963).
Hart P. J.: Phys. Fluids5 (1962), 38.
Chwaszczewski S.: Nukleonika7 (1962), 539.
Patrick R. M.: Phys. Fluids2 (1959), 589.
Scott F. R. et al.: Symposium on Magnetohydrodynamics, Stanford University Press (1958), p. 110.
Kash S. W. et al.: Symposium on Magnetohydrodynamics, Stanford University Press (1958), p. 99.
Artsimovich L. A. et al.: JEPT33 (1957), 3.
Morozov A. I.: JEPT32 (1957), 305.
Musin A. K.: Radiotech. i elektronika VII (1962), 547; 1799.
Kolb A. C.: Phys. Rev.107 (1957), 345;112 (1958), 291.
Hess H. et al.: Annalen der Physik7 (1961), 189.
Jelen J.: Czech. J. Phys.B 13 (1963), 782.
Tobiáš J., Kravárik J.: Czech. J. Phys.B 15 (1965), 236.
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In conclusion, the author would like to thank Assist. Prof. J. Kracík for his constant interest and help in the work.
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Jelen, J. A study of the “Resonance conditions” in accelerating clusters of plasma in an external magnetic field. Czech J Phys 16, 30–41 (1966). https://doi.org/10.1007/BF01688847
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DOI: https://doi.org/10.1007/BF01688847