Abstract
We consider the ion-acoustic waves mode in plasma where electrons are consisted of free and trapped by ion-acoustic waves. The electron distribution for free and trapped electrons are the Maxwellian distribution function with the different temperatures. The system is considered as a one dimensional and simulates a collisionless, unmagnetized plasma. The Particle-In-Cell (PIC) method is applied to show the ion-acoustic oscillation as well as two-stream instability of this system.
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