Abstract
Different steps have been taken to define the wave-particle interaction in an unstable plasma over the last decades. In this paper, a four particle approach has been proposed for explaining the wave particle interaction in an unstable plasma. High speed particles cannot maintain their linear translational motion and when all the considerations come into act, then four types of particles play vital role in the propagation of instability. This paper describes the analytical formulation through necessary equations considering all the possible cases. The physical interpretation along with the energy calculation help to analyze the analytical expressions quite effectively.
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