Qualitative analysis of the positron-acoustic waves in electron-positron-ion plasmas with κ deformed Kaniadakis distributed electrons and hot positrons

Abstract

Qualitative analysis of the positron acoustic (PA) waves in a four-component plasma system consisting of static positive ions, mobile cold positron, and Kaniadakis distributed hot positrons and electrons is investigated. Using the reductive perturbation technique, the Korteweg-de Vries (K-dV) equation and the modified KdV equation are derived for the PA waves. Variations of the total energy of the conservative systems corresponding to the KdV and mKdV equations are presented. Applying numerical computations, effect of parameter (κ), number density ratio (μ1) of electrons to ions and number density (μ2) of hot positrons to ions, and speed (U) of the traveling wave are discussed on the positron acoustic solitary wave solutions of the KdV and mKdV equations. Furthermore, it is found that the parameter κ has no effect on the solitary wave solution of the KdV equation, whereas it has significant effect on the solitary wave solution of the modified KdV equation. Considering an external periodic perturbation, the perturbed dynamical systems corresponding to the KdV and mKdV equations are analyzed by employing three dimensional phase portrait analysis, time series analysis, and Poincare section. Chaotic motions of the perturbed PA waves occur through the quasiperiodic route to chaos.

Dust Ion Acoustic Solitary Waves in Unmagnetized Plasma with Kaniadakis Distributed Electrons

“…Thus, the compressive and rarefactive DIASWs abate as κ is increased, i.e., the compressive and rarefactive DIASWs shrink as the electrons evolve far away from its Maxwell-Boltzmann equilibrium. It is important to note that the value of κ has no effect on the DIASWs associated with the KdV equation (23), whereas the values of κ have a significant effect on DIASWs linked with the mKdV equation (33).…”

“…They showed that the κ-deformed parameter very slightly changes the structural properties of IASWs [32]. The qualitative analysis of the positron acoustic waves in four-component plasma in which electron and hot positron obey κ-deformed distribution has been carried by Saha and Tamang [33]. The use of κ-deformed Kaniadakis distribution in the context of arbitrary amplitude IASWs in a magnetized plasma (composed of cold fluid ions and non-Maxwellian electrons), where the electrons obey the κdeformed Kaniadakis distribution, was made very recently in Ref.…”

Nonlinear Kinetics on a Lattice Featuring Anomalous Diffusion

“…For this reason, it has attracted the interest of many researchers over the last 16 years, who have studied its foundations and mathematical aspects [5][6][7][8][9][10][11][12], the underlying thermodynamics [13][14][15][16][17], and specific applications of the theory in various scientific and engineering fields. A non-exhaustive list of application areas includes quantum statistics [18][19][20], quantum entanglement [21,22], plasma physics [23][24][25][26][27], nuclear fission [28], astrophysics [29][30][31][32][33][34][35], geomechanics [36], genomics [37], complex networks [38,39], economy [40][41][42][43] and finance [44][45][46][47].…”

The κ-statistics approach to epidemiology

“…For this reason, it has attracted the interest of many researchers over the last two decades who have studied its foundations and mathematical aspects [49][50][51][52][53][54][55][56][57][58] , the underlying thermodynamics 59,60 , and specific applications of the theory to various fields. A non-exhaustive list of applications includes those in quantum statistics [61][62][63][64] , in quantum entanglement 65,66 , in plasma physics [67][68][69][70][71][72][73] , in nuclear fission [74][75][76][77] , in astrophysics [78][79][80][81] , in quantum gravity [82][83][84][85][86][87] , in geomechanics 88,89 , in genomics 90,91 , in complex networks [92][93][94] , in economy [95]…”