Abstract
The stationary solutions for the statistical distribution function of the charged particles in a discharge in an ionized gas contracting about its own axis of symmetry under the influence of the inherent magnetic field are given. An isothermal plasma at a very high temperature is considered (completely ionized gas). An exact solution is carried out in the case of cylindrical symmetry. The density distribution depends on an arbitrary constant C which is determined by the experimental conditions. At large r the solution has the asymptotic form\(\frac{1}{{r^4 }}\)
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I. V. Kurchatov, J. Atomic Energy 1956, 3, 65; I. V. Kurchatov, Engineering 181, 4705, 323 (1956).
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Chyulli, S., Miku, M. Statistical method for studying the behavior of an ensemble of charged particles under the influence of their inherent magnetic field. The Soviet Journal of Atomic Energy 2, 1–8 (1957). https://doi.org/10.1007/BF01480699
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DOI: https://doi.org/10.1007/BF01480699