Abstract
In a dusty plasma, the non-adiabaticity of the charge variation on a dust grain surface results in an anomalous dissipation. Analytical investigation shows that this results in a small but finite amplitude dust acoustic (DA) wave propagation which is described by the Korteweg-de Vries-Burger equation. Results of the numerical investigation of the propagation of large-amplitude dust acoustic stationary shock wave are presented here using the complete set of non-linear dust fluid equations coupled with the dust charging equation and Poisson equation. The DA waves are of compressional type showing considerable increase of dust density, which is of significant importance in astrophysical context as it leads to enhanced gravitational attraction considered as a viable process for star formation. The DA shock transition to its far downstream amplitude is oscillatory in nature due to dust charge fluctuations, the oscillation amplitude and shock width depending on the ratioω pd/Vch and other plasma parameters
Similar content being viewed by others
References
M R Gupta, S Sarkar, Samiran Ghosh, M Debnath and M Khan,Phys. Rev. E63, 046406–1 (2001)
Samiran Ghosh, S Sarkar, M Khan and M R Gupta,Phys. Plasmas 9, 1150 (2002)
Samiran Ghosh, S Sarkar, M Khan and M R Gupta,Phys. Lett. A274, 162 (2000)
B P Pandey, K Avinash and C B Dwivedi,Phys. Rev. E49, 5599 (1994)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Gupta, M.R., Sarkar, S., Khan, M. et al. Dust acoustic shock wave generation due to dust charge variation in a dusty plasma. Pramana - J Phys 61, 1197–1201 (2003). https://doi.org/10.1007/BF02704416
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF02704416