Suppression of two stream instability in relativistic electron-ion plasmas

This paper investigates the suppression of two stream instabilities in electron ion plasmas when the individual species attain relativistic velocities. This suppression of the growth rate of two stream instability is consistent even when the ions form a neutralizing background. It is found that the parameter space of the growth rate reasonably squeezes for relativistic electrons at higher plasma frequencies. We further report the suppression of the growth rate of the said instability as the ion electron mass ratio reaches the realistic limit. Our results have implications for high-energy plasmas, laser-plasma interactions, and relativistic particle beam physics, providing insights into the complex interplay of linear and nonlinear processes governing the two-stream instability. Our unified four-regime analysis extends previous understanding of how realistic mass ratios fundamentally modify relativistic suppression effects, providing essential scaling laws for high-energy plasma applications.