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Electronic plasma Brownian motion with radiation reaction force

Author

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  • Ares de Parga, G.
  • Sánchez-Salas, N.
  • Jiménez-Aquino, J.I.

Abstract

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 τe.

Suggested Citation

  • Ares de Parga, G. & Sánchez-Salas, N. & Jiménez-Aquino, J.I., 2022. "Electronic plasma Brownian motion with radiation reaction force," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 600(C).
    • Handle: RePEc:eee:phsmap:v:600:y:2022:i:c:s0378437122003867
    DOI: 10.1016/j.physa.2022.127556
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    References listed on IDEAS

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    1. Bolivar, A.O., 2011. "Non-Markovian effects on the Brownian motion of a free particle," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(18), pages 3095-3107.
    2. He, Guitian & Tian, Yan & Luo, Maokang, 2019. "Charge-particles transport in semiconductors characterized by a generalized Langevin equation with a fractional noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 535(C).
    3. Xiao, Bo & Li, Renfu, 2019. "Work fluctuation and its optimal extraction with time dependent harmonic potential from a non-Markovian bath," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 516(C), pages 161-171.
    4. Nickolay Korabel & Thomas A Waigh & Sergei Fedotov & Viki J Allan, 2018. "Non-Markovian intracellular transport with sub-diffusion and run-length dependent detachment rate," PLOS ONE, Public Library of Science, vol. 13(11), pages 1-23, November.
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