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Effect of nonthermality fraction on dust acoustic growth rate in inhomogeneous viscous dusty plasmas

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Abstract

The properties of linear dust acoustic (DA) waves in inhomogeneous viscous dusty plasmas with non-thermal electrons and ions have been investigated. A linear dispersion relation is obtained with the non-adiabatic dust charge fluctuation and fraction of nonthermality of electron-ion. The dependence of frequency and the damping rate of waves on the nonthermality fraction and dust kinematic viscosity coefficient are discussed. To study the dust acoustic shock waves, KdV-Burgers (KdV-B) equation for homogeneous dissipative dusty plasma has been considered and solved by means of tanh method. The obtained solution is a particular combination of a solitary wave with a Burgers shock wave. The present results are useful in the context of space plasma.

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Correspondence to A. M. El-Hanbaly.

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El-Shewy, E.K., El-Wakil, S.A., El-Hanbaly, A.M. et al. Effect of nonthermality fraction on dust acoustic growth rate in inhomogeneous viscous dusty plasmas. Astrophys Space Sci 356, 269–276 (2015). https://doi.org/10.1007/s10509-014-2176-4

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  • DOI: https://doi.org/10.1007/s10509-014-2176-4

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