The effects of Gaussian size distribution dust particles in a complex plasma

Duan, Wen-Shan; Yang, Huabo; Shi, Yu-Ren; Lu, Kecheng

doi:10.1016/j.physleta.2006.09.064

Cited by 34 publications

(23 citation statements)

References 27 publications

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“…The differential Gaussian distribution is of the form, 36 where a 0 = 4.113ϫ 10 −2 , a 1 = −0.427, a 2 = 1.637, a 3 = −2.420, a 4 = 1.210. It can be seen from Fig.…”

Section: The Comparisons Between Polynomial Expressed Distributionmentioning

confidence: 99%

Effects of dust size distribution on dust acoustic waves in two-dimensional unmagnetized dusty plasma

2008

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For unmagnetized dusty plasma with many different dust grain species containing both hot isothermal electrons and ions, both the linear dispersion relation and the Kadomtsev–Petviashvili equation for small, but finite amplitude dust acoustic waves are obtained. The linear dispersion relation is investigated numerically. Furthermore, the variations of amplitude, width, and propagation velocity of the nonlinear solitary wave with an arbitrary dust size distribution function are studied as well. Moreover, both the power law distribution and the Gaussian distribution are approximately simulated by using appropriate arbitrary dust size distribution functions.

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“…The differential Gaussian distribution is of the form, 36 where a 0 = 4.113ϫ 10 −2 , a 1 = −0.427, a 2 = 1.637, a 3 = −2.420, a 4 = 1.210. It can be seen from Fig.…”

Section: The Comparisons Between Polynomial Expressed Distributionmentioning

confidence: 99%

Effects of dust size distribution on dust acoustic waves in two-dimensional unmagnetized dusty plasma

2008

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“…where r dm is the average radius of dust size, D g and µ are constants [10]. For numerical simulation, the previous equations are converted into dimensionless from using the following normalized variables: ξ = z/λ Di , Φ = −eφ/T e , N e = n e /n e0 ,…”

Section: Theoretical Modelmentioning

confidence: 99%

The Trap of Dust Particles with Different Sizes in Electronegative Plasma Sheaths

et al. 2016

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In this work, we have examined the dynamics of dust particles in the electronegative plasma sheath. For this, we have developed a 1D stationary and unmagnetized model. The electrons and the negative ions are considered in thermodynamic equilibrium, while the positive ions and the impurities (dust grains) are described by fluid equations model. The impurities are considered to have spherical forms; moreover their size distribution is given by Gaussian distribution. Several forces acting on the dust particles are taken into account. The numerical results show that the contribution of the neutral drag force is negligible compared to others forces. In addition, the electrostatic force acting on the nm particles is dominant. Also, we found that the suspension of dust grains in electrostatic sheath is only for a small dust radius interval for which the electrostatic force is balanced by the gravity and the ion drag forces.

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“…1 Thus the dust grain radius, r, varies within the range ͓r min , r max ͔ where r min is its lower limit and r max is its upper limit. Recently, some researches 12,[16][17][18][19] concluded that the dust size distribution ͑DSD͒ affects on the main characteristics of the plasma systems. Aslaksen and Havnes 16 studied the effects of DSD on the thickness of a planetary ring.…”

Section: Introductionmentioning

confidence: 99%

Linear and nonlinear quantum dust ion acoustic wave with dust size distribution effect

et al. 2010

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Both linear and nonlinear quantum dust ion acoustic waves ͑QDIAWs͒ are analyzed using two fluid quantum hydrodynamics model including the dust size distribution ͑DSD͒ effect. Two different DSD functions are applied ͑the power law DSD and the polynomial DSD͒. A new dispersion relation is derived. Using the reductive perturbation technique, a quantum Zakharov-Kuzentsov equation is evaluated for the QDIAW description. The relevance of the wave velocity, amplitude, and width to the DSD and quantum effects is illustrated both analytically and numerically. Moreover, it is found that both linear and nonlinear wave properties are affected by increasing the matter density; the more dense the material the less the wave frequency. The accuracy of controlling coefficients presented in the polynomial DSD is examined numerically for both linear and nonlinear QDIAWs. A brief conclusion is presented to the current findings and their relevance to astrophysics data is also discussed.

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The effects of Gaussian size distribution dust particles in a complex plasma

Cited by 34 publications

References 27 publications

Effects of dust size distribution on dust acoustic waves in two-dimensional unmagnetized dusty plasma

Effects of dust size distribution on dust acoustic waves in two-dimensional unmagnetized dusty plasma

The Trap of Dust Particles with Different Sizes in Electronegative Plasma Sheaths

Linear and nonlinear quantum dust ion acoustic wave with dust size distribution effect

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