Re-examining the Cairns-Tsallis model for ion acoustic solitons

G. Williams, I. Kourakis, F. Verheest, M.A. Hellberg

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68 Citations (Scopus)
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Recently, a hybrid distribution function [Tribeche et al., Phys. Rev. E 85, 037401 (2012)] was proposed to describe a plasma species with an enhanced superthermal component. This combines a Cairns-type “nonthermal” form with the Tsallis theory for nonextensive thermodynamics. Using this alternative model, the propagation of arbitrary amplitude ion acoustic solitary waves in a two-component plasma is investigated. From a careful study of the distribution function it is found that the model itself is valid only for a very restricted range in the q-nonextensive parameter and the nonthermality parameter, α. Solitary waves, the amplitude and nature of which depend sensitively on both q and α, can exist within a narrow range of allowable Mach numbers. Both positive and negative potential structures are found, and coexistence may occur.
Original languageEnglish
Article number023103
Number of pages6
JournalPhysical Review E
Issue number2
Publication statusPublished - 07 Aug 2013


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