Study of Two Stream Instability in Hot Collisional Plasmas over Solar Atmosphere

The two stream instability arises when there is a relative velocity between the electrons and protons. Such situations are common in stellar atmospheres, often at the reconnection sites. We have derived a general dispersion relation for the two stream instability in hot collisional plasmas. The dispersion relation has been studied for photosphere plasma parameters. The growth rate is analyzed for various electron thermal velocities and found that it is maximum for finite range of frequencies and then become stable after a cut off wave vector. The maximum growth rate region shift toward the low frequency for higher thermal velocity of electrons. Also the angular frequency of maximum growth rate increases with increase in thermal velocity. The real plot shows that the wave propagation increases with increasing thermal velocity and become insensitive to low frequency region. As this a general dispersion relation and this could be for studying various plasmas such as magnetosphere and industrial purposes.