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重新审视用于离子声孤子的凯恩斯-萨利斯模型。

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

作者信息

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

机构信息

Centre for Plasma Physics, Department of Physics and Astronomy, Queen's University Belfast, BT7 1NN Northern Ireland, United Kingdom.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2013 Aug;88(2):023103. doi: 10.1103/PhysRevE.88.023103. Epub 2013 Aug 7.

DOI:10.1103/PhysRevE.88.023103
PMID:24032948
Abstract

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.

摘要

最近,有人提出了一种混合分布函数[特里贝切等人,《物理评论E》85,037401(2012)]来描述具有增强超热成分的等离子体物种。这将凯恩斯型“非热”形式与用于非广延热力学的Tsallis理论结合在一起。使用这个替代模型,研究了任意振幅离子声孤立波在双组分等离子体中的传播。通过对分布函数的仔细研究发现,该模型本身仅在q非广延参数和非热参数α的非常有限的范围内有效。孤立波的振幅和性质对q和α都非常敏感,它们可以在允许马赫数的狭窄范围内存在。同时发现了正电势结构和负电势结构,并且可能会共存。

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