A recent paper [L.-N. Hau and W.-Z. Fu, Phys. Plasmas 14, 110702 (2007)] deals with certain mathematical physical properties of the kappa distribution. We comment on authors’ use a form distribution function that is different from “standard” distribution, hence their results, inter alia for an expansion associated number density in electrostatic potential, do not fully reflect dependence κ would be conventional note definition also modified based notion nonextensive entropy.

An investigation into both small and large amplitude dust acoustic solitary waves in dusty plasmas with cold negative grains kappa-distributed ions and/or electrons is discussed. Existence conditions for the arbitrary case are found an appropriate parameter space, viz., effective Mach number of structure speed fraction charge density that resides free electrons, expressed terms ion density. Results indicate kappa distribution has only a quantitative, not qualitative effect on existence...

It is now well known that space plasmas frequently contain particle components exhibit high, or superthermal, energy tails with approximate power law distributions in velocity space. Such nonthermal distributions, overabundances of fast particles, can be better fitted, for supra- and superthermal velocities, by generalized Lorentzian kappa than Maxwellians one their variants. Employing the distribution, real values spectral index κ, place Maxwellian we introduce a new plasma dispersion...

A generalized plasma dispersion function has previously been obtained for waves in plasmas with isotropic kappa distributions arbitrary real [Mace and Hellberg, Phys. Plasmas 2, 2098 (1995)]. In many instances are found to have anisotropic power-law distributions, hence a similar electrostatic having one-dimensional distribution along preferred direction space, Maxwellian perpendicular it now developed. It is used study the effect of superthermal electrons ions on ion-acoustic propagating at...

Dust ion acoustic solitons in an unmagnetized dusty plasma comprising cold dust particles, adiabatic fluid ions, and electrons satisfying a κ distribution are investigated using both small amplitude arbitrary techniques. Their existence domain is discussed the parameter space of Mach number M electron density fraction f over wide range values κ. For all κ>3/2, including Maxwellian distribution, negative supports polarities f. In that region solitary structures finite can be obtained...

Motivated by a recent paper [Phys. Plasmas 7, 2987 (2000)] highlighting the potential importance of electron-acoustic wave in interpreting solitary waves observed high time resolution measurements electric field auroral region, effect magnetic on weakly nonlinear is investigated. A Korteweg–de Vries–Zakharov–Kuznetsov (KdV-ZK) equation derived for plasma comprised cool and hot electrons species fluid ions. Two models are employed ions: magnetized unmagnetized. When ions frequency constraints...

Velocity distribution functions with an excess of superthermal particles are commonly observed in space plasmas, and effectively modeled by a kappa distribution. They also found some laboratory experiments. In this paper we obtain existence conditions for characteristics ion-acoustic solitary waves plasma composed cold ions κ-distributed electrons, where κ>3/2 represents the spectral index. As is case usual Maxwell–Boltzmann only positive potential solitons found, and, as expected,...

Views Icon Article contents Figures & tables Video Audio Supplementary Data Peer Review Share Twitter Facebook Reddit LinkedIn Tools Reprints and Permissions Cite Search Site Citation S. Sultana, I. Kourakis, N. Saini, M. A. Hellberg; Oblique electrostatic excitations in a magnetized plasma the presence of excess superthermal electrons. Phys. Plasmas 1 March 2010; 17 (3): 032310. https://doi.org/10.1063/1.3322895 Download citation file: Ris (Zotero) Reference Manager EasyBib Bookends...

Space plasmas provide abundant evidence of highly energetic particle population, resulting in a long-tailed non-Maxwellian distribution. Furthermore, the first stages evolution produced during laser–matter interaction are dominated by nonthermal electrons, as confirmed experimental observation and computer simulations. This phenomenon is efficiently modelled via kappa-type We present an overview, from principles, effect superthermality on characteristics electrostatic plasma waves. rely...

Existence domains and characteristics of ion acoustic solitons are studied in a two-temperature electron plasma with both components being kappa-distributed, as found Saturn’s magnetosphere. As is the case for double-Boltzmann electrons, polarities can exist over restricted ranges fractional hot density ratio this model. Low κ values, which indicate increased suprathermal particles tail distribution, yield smaller domain parameter space fraction normalized soliton velocity (f, M), supported...

Motivated by plasma and wave measurements in the cusp auroral region, we have investigated electron-acoustic solitons a consisting of fluid ions, cool electron hot Boltzmann component. A recently described method integrating full nonlinear equations as an initial-value problem is used to construct arbitrary amplitude. Using reductive perturbation technique, Korteweg-de Vries equation, which includes effects finite cool-electron ion temperatures, derived, results are compared with theory....

High-frequency electrostatic waves have been observed in a two-electron-temperature plasma. Both bi-Maxwellian and Maxwellian-waterbag models were found to be inadequate explaining the dispersion damping rates. However, modelling of hot electron component with κ-distribution function confirms that experiments represent observation electron-acoustic wave laboratory.

We discuss critical curves that allow us to predict, qualitatively, the topological behaviour of higher-order modes in a two-electron-temperature plasma as wavenumber and hot electron fraction are varied. The relationship these electron-acoustic wave is elucidated.

It is shown how existence domains for arbitrary-amplitude ion-acoustic solitons and double layers are determined numerically by cut-off conditions on the corresponding Sagdeev potential. A two-electron-temperature model considered, in positive-ion plasmas given terms of electron parameters, while negative-ion such described parameters characterizing role negative ion species.

Dust-acoustic waves are investigated in a three-component plasma consisting of strongly coupled dust particles and Maxwellian electrons ions. A fluid model approach is used, with the effects strong coupling being accounted for by an effective electrostatic ``pressure'' which function number density potential. Both linear weakly nonlinear cases considered derivation analysis dispersion relation Korteweg-de Vries equation, respectively. In contrast to previous studies using this model, paper...

Supersolitons are a recent addition to the literature on large-amplitude solitary waves in multispecies plasmas. They distinguished from usual solitons by their associated electric field profiles which inherently distinct traditional bipolar structures. In this paper, dust-ion-acoustic modes dusty plasma with stationary negative dust, cold fluid protons, and nonthermal electrons investigated through Sagdeev pseudopotential approach see where supersolitons fit between ranges of ordinary...

Using the Sagdeev potential approach, arbitrary amplitude modified ion acoustic solitons and double layers have been studied in an electron–positron–ion (e–p–i) plasma composed of Cairns-distributed electrons, Boltzmann positrons cold ions. Existence domains are presented different slices parameter space, care is taken to differentiate between behaviour at a fixed soliton speed, Mach number normalized with respect true speed for three-component plasma. Negative solitons, limited by layers,...

Superficially, electrostatic potential profiles of supersolitons look like those traditional solitons. However, their electric field are markedly different, having additional extrema on the wings standard bipolar structure. This new concept was recently pointed out in literature for a plasma model with five species. Here, it is shown that not an artefact exotic, complicated models, but can exist even three-species plasmas and likely to occur space plasmas. Further, methodology given...

Acoustic supersolitons arise when a plasma model is able to support three consecutive local extrema of the Sagdeev pseudopotential between undisturbed conditions and an accessible root. This leads characteristic electric field signature, where simple bipolar shape enriched by subsidiary maxima. Large-amplitude nonlinear acoustic modes are investigated, using approach, for plasmas containing two-temperature electrons having Boltzmann or kappa distributions, in presence cold fluid ions. The...

The spectral density of electrostatic fluctuations is investigated in a plasma containing an excess suprathermal particles. As model for the statistical distribution particles, kappa velocity used. It found that Debye length λ D such depends strongly on index κ distribution, and can be much smaller than commonly Maxwellian plasmas. Consequently parameter g =1/ n 3 larger, effects depend particle discreteness more important, plasma. Consequently, levels fluctuation are higher, their extent...

[1] Using a kinetic theoretical approach, the characteristics of electron acoustic waves (EAWs) are investigated in plasmas whose velocity distributions modeled by combination two kappa distributions, with distinct densities, temperatures, and κ values. The model is applied to Saturn's magnetosphere, where electrons well fitted such double-kappa distribution. results this suggest that EAWs will be weakly damped regions hot cool densities approximately equal, temperature ratio about 100,...

The nonlinear dynamics of electron-acoustic localized structures in a collisionless and unmagnetized plasma consisting “cool” inertial electrons, “hot” electrons having kappa distribution, stationary ions is studied. inertialess hot electron distribution thus has long-tailed suprathermal (non-Maxwellian) form. A dispersion relation derived for linear waves. They show strong dependence the charge screening mechanism on excess suprathermality (through κ). pseudopotential technique employed to...

In contrast to overtaking interactions, head-on collisions between two electrostatic solitons can be dealt with only by use of an approximate method, which limits the range validity but offers valuable insights. Treatments in plasma physics literature all assumptions stretching space and time expansion dependent variables that are seldom, if ever, discussed. All models force a separability lowest order, corresponding linear waves opposite equally large velocities. A systematic exposition...

The linear and nonlinear properties of large-amplitude electron-acoustic waves are investigated in a magnetized plasma comprising two distinct electron populations (hot cold) immobile ions. hot electrons assumed to be non-Maxwellian state, characterized by an excess superthermal particles, here modeled kappa-type long-tailed distribution function. Waves propagate obliquely the ambient magnetic field. Two types electrostatic modes shown exist regime, their briefly analyzed. A...

The electron-acoustic wave, in a plasma with hot suprathermal, kappa-distributed electrons and cool, Maxwellian electrons, is investigated. This model generalization of those that have been investigated previously, through its parametrization by κ, can be reduced to many previous models the stable wave. It found suprathermal significantly increase Landau damping wave at small numbers, i.e., acoustic regime. Results from survey parameter space, which help identify parameters for mode will...