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The excitation, growing and damping of current instability is an important and vital subject for a lot of studies through its importance in communication for instance and in understanding the nature of space and the interpretation of many phenomena in space and astrophysics. Recent analytical and numerical works are presented to describe and investigate the excitation and growing of kinetic electron-ion two streams instability in anisotropic inhomogeneous dusty space plasmas. We elucidated the thermal effects of plasma species on the characteristics of such instability. It is found that the gradient of space plasma temperature, , is a cause of interesting physical phenomena. Besides, different parameters, such as electron to ion temperature ratio , magnetized plasma and dust grains, are also found to play a crucial role in the growth and depression of such instability.

Kinetic Electron-Ion Two Streams Instability in Space Dusty Plasma with Temperature Gradient