Large amplitude dust acoustic solitary waves and double layers in positively charged warm dusty plasma with nonthermal electrons

Das, Animesh; Bandyopadhyay, Anup; Das, K. P.

doi:10.1063/1.3291060

Cited by 14 publications

(15 citation statements)

References 16 publications

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“…and solving (3.1)-(3.3), we get a quadratic equation for n 2 i and following the same argument as given by Das et al (2009Das et al ( , 2010 to find the expression of dust density with exact bounds, we get the following expression of n i :…”

Section: Energy Integral and The Sagdeev Potentialmentioning

confidence: 99%

“…Therefore, it is of considerable importance to study nonlinear wave structures in a dusty plasma in which lighter species (electrons or ions) is non-thermally distributed. Such a study of dusty plasma consisting of Cairns non-thermal distributed ions has been made by several authors (Mamun et al 1996b;Mendoza-Briceño et al 2000;Maharaj et al 2004Maharaj et al , 2006Verheest and Pillay 2008;Das et al 2009Das et al , 2010. Berbri and Tribeche (2009) have investigated weakly nonlinear DIA shock waves in a dusty plasma with non-thermal electrons.…”

Section: Introductionmentioning

confidence: 99%

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Dust ion-acoustic solitary structures in non-thermal dusty plasma

Das¹,

Bandyopadhyay²,

Das

2011

J. Plasma Phys.

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Dust ion-acoustic solitary structures have been investigated in an unmagnetized non-thermal plasma consisting of negatively charged dust grains, adiabatic positive ions, and non-thermal electrons. Whenever the non-thermal parameter exceeds a critical value, the present system supports negative potential double layer solution. However, this double layer solution is unable to restrict the occurrence of negative potential solitary waves of the present system. As a result, the occurrence of one type of negative potential solitary wave is restricted by Mc < M < MD, whereas the second type of solitary wave exists for all M > MD, where Mc is the lower bound of the Mach number M and MD (> Mc) is the Mach number corresponding to a negative potential double layer. A finite jump between the amplitudes of negative potential solitary waves at M = MD − ϵ1 and M = MD + ϵ2 has been observed, where 0 < ϵ1 < MD − Mc and ϵ2 > 0. Depending on the analytical theory presented in this paper, a numerical scheme has been provided to find the value of the Mach number at which double layer solution exists, and also the amplitude of that double layer. Although the occurrence of coexistence of solitary structures of both polarities is restricted by Mc < M ≤ Mmax, only negative potential solitary wave still exists for all M > Mmax, where Mmax is the upper bound of M for the existence of positive potential solitary waves only. Qualitatively different compositional parameter spaces showing the nature of existing solitary structures of the energy integral have been found. These solution spaces are capable of producing new results and physical ideas for the formation of solitary structures whenever one can move the solution spaces through the family of curves parallel to the curve M = Mc.

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Section: Energy Integral and The Sagdeev Potentialmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Dust ion-acoustic solitary structures in non-thermal dusty plasma

Das¹,

Bandyopadhyay²,

Das

2011

J. Plasma Phys.

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“…36 There are even existence regions in compositional parameter and Mach number space where solitary structures of both polarities can coexist. 34,35,37,38 Several papers in the literature, [39][40][41] however, have missed this possibility, by looking only at the easy half of the problem, finding solitary waves of the polarity of the cold or adiabatic inertial constituent.…”

Section: A Electron-proton or Equivalent Plasmasmentioning

confidence: 99%

Nonlinear acoustic waves in nonthermal dusty or pair plasmas

Verheest

2010

Physics of Plasmas

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Using a Sagdeev pseudopotential formalism where nonlinear structures are stationary in a comoving frame, large dust-acoustic solitary waves and double layers have been studied in plasmas with negative cold dust or heavier ions, in the presence of nonthermal electrons and protons/positrons. The existence domain of negative solitary waves is limited by infinite compression of the negative dust or heavy ion species, that of positive solitary waves by the occurrence of positive double layers. These double layers require a sufficient degree of nonthermality of the hot species. There are parameter ranges where both negative and positive solitary structures can occur; sometimes both of the solitary wave type or sometimes one solitary wave and the other a double layer. Great emphasis is placed on the determination of the existence domains in compositional parameter space, with the help of strong analytical results, before typical Sagdeev pseudopotentials and solitary wave profiles are presented. Subject to simple adjustments, these results apply equally to a conjugate plasma model of positive dust or heavy ions, together with nonthermal electrons and protons/positrons.

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“…Of the latter, there are many examples to be found in the literature, and we only mention in the reference list some immediately relevant papers, namely those homogeneous models that admit coexistence ranges in compositional parameter space for electrostatic solitary modes described by Sagdeev pseudopotential theory. [16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35] Extraneous effects such as beams, inhomogeneities, and variable dust charges have been excluded, as these tend to blur the basic understanding. The quest for plasma models supporting solitons having a polarity opposite to the traditionally expected has been motivated by several space observations.…”

Section: Introductionmentioning

confidence: 99%

Large acoustic solitons and double layers in plasmas with two positive ion species

et al. 2011

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Large nonlinear acoustic waves are discussed in a plasma made up of cold supersonic and adiabatic subsonic positive ions, in the presence of hot isothermal electrons, with the help of Sagdeev pseudopotential theory. In this model, no solitons are found at the acoustic speed, and no compositional parameter ranges exist where solutions of opposite polarities can coexist. All nonlinear modes are thus super-acoustic, but polarity changes are possible. The upper limits on admissible structure velocities come from different physical arguments, in a strict order when the fractional cool ion density is increased: infinite cold ion compression, warm ion sonic point, positive double layers, negative double layers, and finally, positive double layers again. However, not all ranges exist for all mass and temperature ratios. Whereas the cold and warm ion sonic point limitations are always present over a wide range of mass and temperature ratios, and thus positive polarity solutions can easily be obtained, double layers have a more restricted existence range, specially if polarity changes are sought. V

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Large amplitude dust acoustic solitary waves and double layers in positively charged warm dusty plasma with nonthermal electrons

Cited by 14 publications

References 16 publications

Dust ion-acoustic solitary structures in non-thermal dusty plasma

Dust ion-acoustic solitary structures in non-thermal dusty plasma

Nonlinear acoustic waves in nonthermal dusty or pair plasmas

Large acoustic solitons and double layers in plasmas with two positive ion species

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