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Dust ion acoustic instability with q-distribution in nonextensive statistics

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Abstract

The instability of dust ion acoustic waves (DIAWs) driven by ions and electrons with different drift velocities in an unmagnetized, collisionless, isotropic dusty plasma was investigated. The electrons, ions and dust particles are assumed to be the generalized q-nonextensive distributions. The spectral indices of the q-distributions for the three plasma components are different from each other. Based on kinetic theory, the dispersion relation and the instability growth rate of DIAWs are obtained. It is found that the presence of the nonextensive distribution electrons and ions significantly modify the domain of the instability growth rate, as well as the ion-electron density ratio (ρ) and drifting-thermal velocity ratio (u i0/v Te ). In reverse, the index of dust grains has nearly no any effect on the instability growth rate. Furthermore, the effects of these parameters on the growth rate have also been discussed in detail.

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Acknowledgements

This work is supported by the National Natural Science Foundation of China (No. 11178002), the National Basic Research Program of China (973 Program) (No. 2010CB635112), the International S&T Cooperation Program of China (2009DFA02320), and the Program for Innovative Research Team in Jiangxi Province (2010DQB00900).

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Correspondence to Jin-Wei Dai.

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Dai, JW., Chen, XC. & Li, XQ. Dust ion acoustic instability with q-distribution in nonextensive statistics. Astrophys Space Sci 346, 183–190 (2013). https://doi.org/10.1007/s10509-013-1440-3

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  • DOI: https://doi.org/10.1007/s10509-013-1440-3

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