Abstract:The effect of ion temperature on the existence of large amplitude solitary kinetic Alfvén waves and double layers are investigated in a two-fluid model using Sagdeev’s pseudopotential technique. The ion temperature, obliqueness parameter, and the ratio of cyclotron frequency to ion frequency are found to play significant roles in the formation and the shape of solitary kinetic Alfvén waves and double layers. Hump-type solitary waves and dip-type double layers are also observed. Conditions for the existence of … Show more
“…The effect of ion thermal temperature on soliton width is shown in figure 5 from which it can be inferred that ion thermal temperature has no significant influence on the width of solitary KAWs. That the ion thermal temperature producing no significant effect on solitary KAWs contrasts with earlier reports [45,47,48] where ion temperature seems to play an important role on soliton characteristics in nondegenerate plasmas. In connection with the results presented above, it needs to be mentioned here that as we are dealing with zero thermal temperature degenerate electrons and positrons, the correction due to q-nonextensivity of electrons and positrons vanishes [49].…”
Propagation of solitary kinetic Alfvén waves (KAWs) is investigated in small but finite b (particle-to-magnetic pressure ratio) collisionless dense plasma whose constituents are nondegenerate warm ions, and relativistic degenerate electrons and positrons. Through the use of reductive perturbation technique, Kortweg-de Vries equation is derived to obtain small amplitude localized wave solution of KAWs. The effects of plasma , b positron concentration, electron relativistic degeneracy parameter, ion thermal temperature and obliqueness parameter on solitary KAWs are studied. The results of this theoretical investigation are aimed at elucidating characteristics of kinetic Alfvén solitary waves in relativistic degenerate e-p-i plasmas found in dense astrophysical objects specifically neutron stars and white dwarfs.
“…The effect of ion thermal temperature on soliton width is shown in figure 5 from which it can be inferred that ion thermal temperature has no significant influence on the width of solitary KAWs. That the ion thermal temperature producing no significant effect on solitary KAWs contrasts with earlier reports [45,47,48] where ion temperature seems to play an important role on soliton characteristics in nondegenerate plasmas. In connection with the results presented above, it needs to be mentioned here that as we are dealing with zero thermal temperature degenerate electrons and positrons, the correction due to q-nonextensivity of electrons and positrons vanishes [49].…”
Propagation of solitary kinetic Alfvén waves (KAWs) is investigated in small but finite b (particle-to-magnetic pressure ratio) collisionless dense plasma whose constituents are nondegenerate warm ions, and relativistic degenerate electrons and positrons. Through the use of reductive perturbation technique, Kortweg-de Vries equation is derived to obtain small amplitude localized wave solution of KAWs. The effects of plasma , b positron concentration, electron relativistic degeneracy parameter, ion thermal temperature and obliqueness parameter on solitary KAWs are studied. The results of this theoretical investigation are aimed at elucidating characteristics of kinetic Alfvén solitary waves in relativistic degenerate e-p-i plasmas found in dense astrophysical objects specifically neutron stars and white dwarfs.
“…Prasanta Chatterjee etal. [29], have recently studied the effect of ion-temperature on large-amplitude kinetic solitary waves and concluded that the ion temperature has important effect on shape of solitary kinetic Alfvén waves and doublelayers. Current investigation is an attempt to study the most general cases of electron-ion and electron-positron-ion three dimensional plasmas consisting of warm electrons/positron and ions considering the two dimensional drifts of ions.…”
Large amplitude kinetic Alfvénon (exact Alfvén soliton) matching condition is investigated in quasineutral electron-ion and electron-positron-ion plasmas immersed in a uniform magnetic field.Using the standard pseudopotential method, the magnetohydrodynamics (MHD) equations are exactly solved and a global allowed matching condition for propagation of kinetic solitary waves is derived. It is remarked that, depending on the plasma parameters, the kinetic solitons can be subor super-Alfvénic, in general. It is further revealed that, either upper or lower soliton speed-limit is independent of fractional plasma parameters. Furthermore, the soliton propagation angle with respect to that of the uniform magnetic field is found to play a fundamental role in controlling the soliton matching speed-range.
A study of the ion Larmor radius effects on the solitary kinetic Alfven waves (SKAWs) in a magnetized plasma with superthermal electrons is presented by employing the kinetic theory. The linear dispersion relation of SKAW is shown to depend on the superthermal parameter κ, ion to electron temperature ratio, and the angle of wave propagation. Using the Sagdeev potential approach, the energy balance equation has been derived to study the dynamics of SKAWs. The effects of various plasma parameters are investigated for the propagation of SKAWs. It is shown that only compressive solitons can exist and in the Maxwellian limit our results are in good agreement with previous studies. Further, the characteristics of small amplitude SKAWs are investigated. Present study could be useful for the understanding of SKAWs in a low β plasma in astrophysical environment, where particle distributions are superthermal in nature.
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