Abstract
Stream instabilities are widely studied due to their importance in understanding astrophysical phenomena such as acceleration of high velocity of solar wind. In this work, the simulation of electron two stream instability was performed using Vorpal Simulation (VSim) code to explore the kinetic energy of plasma that arises due to the interaction between two counter-streaming electron beams at different velocities as well as different electron densities. The electron beam velocity was varied in the range of 3.58 × 106 m/s - 7.98 × 106 m/s and the resulting kinetic energy of plasma increased from 19 × 10−6J - 210 × 10−6J respectively. Also, increasing the electron density at fixed beam velocity from 1.05 × 1014m−3 - 5.84 × 1014m−3, the kinetic energy was observed to increase from 100 × 10−6J - 200 × 10−6J .However, the kinetic energy of the electron increases more with increasing beam velocity than with increasing electron density. The electric field energy which arose due to the interaction of the streaming beams did not exceed the energy of the beams.
Highlights
One of the important collective interactions in a plasma is the two-stream instability (Fanchenko et al, 1964)
Plasma instability that is caused by an energetic particle stream injected into a plasma, or setting a current along the plasma where different species can have different drift velocities (Mohammad et al, 2014) which generally go by the cognomen two stream instability is a well know phenomena (Ben et al, 1990) in the context of fusion plasmas, space plasmas, and highenergy accelerators (Marileni et al, 2013)
For instance models that treat some parts of the plasma as a fluid but others as particles.The Vorpal Simulation (VSim) simulates plasma by Particle In Cell (PIC) method
Summary
One of the important collective interactions in a plasma is the two-stream instability (Fanchenko et al, 1964). The density perturbation generates an electric field which can grow exponentially The cause of this instability is thought of as originating from a point source disturbance within two-beam plasma. If a density fluctuation arises from this disturbance in one stream of particles, the electric field will initiate a plasma oscillation at that location. These fields can modulate the electron densities of the second stream and the drift of these density modulations through each other can result in energy exchange (King et al, 2011). Where v and n denote the velocity and density, respectively, of the electron fluid and E is the electrostatic electric field. N0 is the constant density of the neutralizing ion background,e and m are the electron charge and mass, respectively, and ɛ0 is the dielectric constant in vacuum
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