Abstract

The dispersion relation characterizing electrostatic modes in a cold magnetized plasma penetrated by a hot electron beam is solved analytically. In the limit k 2 λ 2 b ⪡1 where k is the wavenumber of the mode and λ b is the Debye length of beam elect rons, two new modes, viz. the electron acoustic and the magneto-acoustic mode, are found to exist. Expressions for the growth rate and threshold beam energy required for the onset of the kinetic instabilities of these modes are obtained.

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