Eur. Phys. J. Plus (2022) 137: 788
https://doi.org/10.1140/epjp/s13360-022-03006-w

Regular Article

Effect of non-thermal and non-extensive parameters on electron plasma waves in hybrid Cairns–Tsallis distributed plasmas

¹ Department of Physics and Applied Mathematics (DPAM), PIEAS, P .O. Nilore, 44000, Islamabad, Pakistan
² Center of Mathematical Sciences (CMS), PIEAS, P .O. Nilore, 44000, Islamabad, Pakistan
³ Department of Nuclear Engineering (DNE), PIEAS, P .O. Nilore, 44000, Islamabad, Pakistan
⁴ Theoretical Physics Division (TPD), PINSTECH, P .O. Nilore, 44000, Islamabad, Pakistan

^a mbilalf90@gmail.com

Received: 3 February 2022
Accepted: 23 June 2022
Published online: 8 July 2022

Abstract

Propagation and damping of high-frequency electron plasma or Langmuir waves (LWs) in hybrid non-thermal Cairns–Tsallis distributed plasmas (CTDP) are studied (numerically and analytically) under the well-known plasma kinetic approach based on a system of Vlasov–Poisson’s equations. For such system, that is a hybrid CTDP, the longitudinal dielectric response function is derived from a 1D-reduced Cairns–Tsallis distribution function, for both super-extensive ($q<1$) and sub-extensive ($q>1$) cases. It reveals the effects of the simultaneous presence of non-thermal ($\alpha$) and non-extensive (q) parameters on damping rate and real frequency of LWs in hybrid CTDP. It is observed that on increasing value of non-thermal parameter ($\alpha$) and decreasing the value of non-extensive parameter (q), the real frequency of LWs is increased in both the super- and sub-extensive plasmas. On the other hand, on decreasing the value of non-extensive parameter (q) damping rate of LWs is increased in both super-extensive and sub-extensive plasmas while on increasing the value of non-thermal parameter ($\alpha$) strong wave damping is observed in super-extensive case and the weak damping effect is found in sub-extensive plasma case. The present results (for hybrid CTDP) are distinguished from other non-thermal plasma distributions such as only Cairns or q-nonextensive plasmas. This study is utilitarian for different space plasma regions where the non-thermal and non-extensive plasma species exist.