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.

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...

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...

We consider the modulational instability of nonlinearly interacting two-dimensional waves in deep water, which are described by a pair coupled nonlinear Schrödinger equations. derive dispersion relation. The latter is numerically analyzed to obtain regions and associated growth rates instability. Furthermore, we follow long term evolution means computer simulations governing equations demonstrate formation localized coherent wave envelopes. Our results should be useful for understanding...

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...

The nonlinear dynamics of electrostatic solitary waves in the form localized modulated wavepackets is investigated from first principles. Electron-acoustic (EA) excitations are considered a two-electron plasma, via fluid formulation. assumed to be collisionless and uniform (unmagnetized), composed two types electrons (inertial cold inertialess kappa-distributed superthermal electrons) stationary ions. By making use multiscale perturbation technique, Schrödinger equation derived for envelope,...

Abstract. Abundant evidence for the occurrence of modulated envelope plasma wave packets is provided by recent satellite missions. These excitations are characterized a slowly varying localized structure, embedding fast carrier wave, which appears to be result strong modulation amplitude. This may due parametric interactions between different modes or, simply, nonlinear (self-)interaction wave. A generic exact theory presented in this study, self-modulation known electrostatic modes,...

A study is presented of the nonlinear self-modulation low-frequency electrostatic (dust acoustic) waves propagating in a dusty plasma, presence superthermal ion (and Maxwellian electron) background. kappa-type distribution assumed for component, accounting an arbitrary deviation from equilibrium, parametrized via real parameter κ. The ordinary Maxwellian-background case recovered κ→∞. By employing multiple scales technique, Schrödinger-type equation (NLSE) derived electric potential wave...

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...

The propagation of ion acoustic shocks in nonthermal plasmas is investigated, both analytically and numerically. An unmagnetized collisionless electron-ion plasma considered, featuring a superthermal (non-Maxwellian) electron distribution, which modeled by κ-(kappa) distribution function. Adopting multiscale approach, it shown that the dynamics low-amplitude hybrid Korteweg-de Vries–Burgers (KdVB) equation, nonlinear dispersion coefficients are functions κ parameter, while dissipative...

The dynamics of magnetic fields with an amplitude several tens megagauss, generated at both sides a solid target irradiated high-intensity (~10(19) W/cm(2)) picosecond laser pulse, has been spatially and temporally resolved using proton imaging technique. the is sufficiently large to have constraining effect on radial expansion plasma sheath surfaces. These results, supported by numerical simulations simple analytical modeling, may implications for ion acceleration driven rear side as well...

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...

Recently, a hybrid distribution function [Tribeche et al., Phys. Rev. E 85, 037401 (2012)] was proposed to describe plasma species with an enhanced superthermal component. This combines Cairns-type ``nonthermal'' form the Tsallis theory for nonextensive thermodynamics. Using this alternative model, propagation of arbitrary amplitude ion acoustic solitary waves in two-component is investigated. From careful study it found that model itself valid only very restricted range $q$-nonextensive...

An investigation of the propagation ion acoustic waves in nonthermal plasmas presence trapped electrons has been undertaken. This motivated by space and laboratory plasma observations containing energetic particles, resulting long-tailed distributions, combination with whereby some particles are confined to a finite region phase space. unmagnetized collisionless electron-ion is considered, featuring non-Maxwellian-trapped electron distribution, which modelled kappa distribution function...

We investigate the nonlinear propagation of electromagnetic waves in left-handed materials. For this purpose, we consider a set coupled Schrödinger (CNLS) equations, which govern dynamics electric and magnetic field envelopes. The CNLS equations are used to obtain dispersion, depicts modulational stability profile plane-wave solutions An exact (in)stability criterion for interactions is derived, analytical expressions instability growth rate obtained.

A pair plasma consisting of two types ions, possessing equal masses and opposite charges, is considered. The nonlinear propagation modulated electrostatic wave packets studied by employing a two-fluid model. Considering parallel to the external magnetic field, distinct modes are obtained, namely quasiacoustic lower moddfe Langmuir-like, as optic-type upper one, in agreement with experimental observations theoretical predictions. small yet weakly deviations from equilibrium, adopting...

We present an improved nonlinear theory for the perpendicular transport of charged particles. This approach is based on treatment field-line random walk in combination with a generalized compound diffusion model. The model employed more systematic and reliable, comparison previous theories. Furthermore, shows remarkably good agreement test-particle simulations solar wind observations.

The nonlinear amplitude modulation of electromagnetic waves propagating in pair plasmas, e.g., electron-positron or fullerene pair-ion as well three-component electron-positron-ion plasmas doped (dusty) assuming wave propagation a direction perpendicular to the ambient magnetic field, obeying ordinary (O-) mode dispersion characteristics. Adopting multiple scales (reductive perturbation) technique, Schrödinger-type equation is shown govern modulated field (perturbation). conditions for...

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...

Starting from Maxwell's equations, we use the reductive perturbation method to derive a second-order and third-order nonlinear Schrödinger equation, describing ultrashort solitons in left-handed metamaterials. We find necessary conditions exact bright dark soliton solutions of these equations for electric magnetic field envelopes.

The propagation of small amplitude stationary profile nonlinear electrostatic excitations in a pair plasma is investigated, mainly drawing inspiration from experiments on fullerene pair-ion plasmas. Two distinct ion species are considered opposite polarity and same mass, addition to massive charged background species, which assumed be stationary, given the frequency scale interest. In context, third thought as defect (e.g. dust) component. On other hand, model also applies formally...

The occurrence of rogue waves (freak waves) associated with electromagnetic pulse propagation interacting a plasma is investigated, from first principles. A multiscale technique employed to solve the fluid Maxwell equations describing weakly nonlinear circularly polarized pulses in magnetized plasmas. Schrödinger (NLS) type equation shown govern amplitude vector potential. set non-stationary envelope solutions NLS are considered as potential candidates for modeling beam–plasma interactions,...