Kinetic study of ion acoustic twisted waves with kappa distributed electrons

Abstract

The kinetic theory of Landau damping of ion acoustic twisted modes is developed in the presence of orbital angular momentum of the helical (twisted) electric field in plasmas with kappa distributed electrons and Maxwellian ions. The perturbed distribution function and helical electric field are considered to be decomposed by Laguerre-Gaussian mode function defined in cylindrical geometry. The Vlasov-Poisson equation is obtained and solved analytically to obtain the weak damping rates of the ion acoustic twisted waves in a non-thermal plasma. The strong damping effects of ion acoustic twisted waves at low values of temperature ratio of electrons and ions are also obtained by using exact numerical method and illustrated graphically, where the weak damping wave theory fails to explain the phenomenon properly. The obtained results of Landau damping rates of the twisted ion acoustic wave are discussed at different values of azimuthal wave number and non-thermal parameter kappa for electrons.

Kinetic study of electrostatic twisted waves instability in nonthermal dusty plasmas

“…34 These non-Maxwellian distributions are well reproduced by the power-laws or the so-called kappa distribution functions, which were recently applied for modeling the twisted plasma waves, such as Langmuir (electron) twisted waves and ion acoustic twisted waves. 35 In space, permeating plasmas, 36 streaming plasmas, 37 and drifting plasmas 38 exhibit various novel instabilities in the presence of neutral and charged dust particles.…”

Quasi-electrostatic twisted waves in Lorentzian dusty plasmas

“…In laboratory experiments and most of the astrophysical environments (Arshad and Mahmood, 2010; the charged particles exhibit non-Maxwellian or non-thermal distribution. These non-Maxwellian distributions are well reproduced by the power-laws or the so-called Kappa distribution functions (Pierrard and Lazar, 2010;Lazar et al, 2012), which recently were applied for modeling the twisted plasma waves, such as Langmuir (electron) twisted waves and ion acoustic twisted waves (Arshad et al, 2016). In space special form of plasma like permeating plasmas (Arshad et al, 2014a,b,c), streaming plasmas (Novo et al, 2015;Lazar et al, 2008;Youdin et al, 2005;Bret, 2009;Khalil, 2015;Torney et al, 2006) and drifting plasmas (Davidson, 2014) exhibit various novel instabilities in the presence of neutral and charged dust particles.…”

Effect of orbital angular momentum on electron acoustic waves in double‐Kappa plasma

“…The study of plasma dynamics with finite OAM has predicted new effects and nontrivial properties attributed to finite OAM in plasmas. The examples are twisted waves and associated instabilities [ Mendonca et al , ; Mendonca , ; Shukla , ; Khan et al , ; Arshad et al , , ].…”

“…Many studies such as plasmons [ Mendonca et al , ; Arshad et al , ] and phonons with finite OAM states [ Arshad et al , ; Ayub et al , ], the stimulated Raman and Brillouin back scatterings [ Mendonca et al , ], the inverse Faraday effect of linearly polarized laser pulses [ Ali et al , ], and magnetic field generation by higher‐order LG plasmons [ Ali and Mendonca , ] have already been presented in the context of plasmas. Shahzad and Ali [2014] used hydrodynamic model to derive the dispersion relation for EAWs in the paraxial approximation by employing the Gaussian and LG beam solutions.…”