APPLIED PHYSICS

THE SCIENTIFIC AND TECHNICAL JOURNAL


No. 6 Founded in 1994 Moscow 2003


Boundary of stability of multicomponent and limited ionized beams

K. B. Galitseysky
Moscow Aviation Institute, Moscow, Russia

   Based on the generalized solution to the system of Poisson-Vlasov's equations, the dispersion equation has been derived for a wide class of initial disturbances. This dispersion equation generalizes the particular cases of the earlier obtained solutions for an unlimited system both to a hydrodynamic approximation and with regard to thermal spread. It enables one to determine the boundary condition influence on instability developing in multicomponent ionized flows. Solving the system of Poisson-Vlasov's equations in a class of generalized functions yields some advantage not only in attaining a more high generality of investigation results but also in achieving a more simple calculation. E. g., use of the d -function for determining a background in the obtained dispersion equation permits one to obviate the necessity of searching for a general solution to the system of the hydrodynamic equations and to calculate a linear system determinant.

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