Electronic plasma Brownian motion with radiation reaction force

This work shows that even the Brownian motion of independent electrons in an electronic plasma under the influence of radiation reaction force can be described from a classical point of view, the effect due to the radiation reaction force is negligible. Our theoretical approach relies upon the classical generalized Langevin equation characterized by an Ornstein–Uhlenbeck friction memory kernel with an effective correlation time. This correlation time accounts for two physical effects: the thermal interaction between electrons in a Brownian motion-like manner and the radiation reaction force. Due to this fact, a third-order time derivative stochastic differential equation is obtained where the coefficient of the acceleration time derivative is shown to be proportional to the effective correlation time. It is shown that the memory time, τ, which accounts the thermal interaction between an electron with its surroundings is greater than the characteristic time τ_e.