Abstract
Abstract. Large dust-acoustic solitons and kinks in dusty plasmas with positive cold dust, nonthermally distributed electrons and Boltzmann ions have been studied in a systematic way, to delimit their compositional parameter space. The existence domain of positive solitons is limited by infinite dust compression, of negative ones by the occurrence of potential kinks, provided the electrons are sufficiently nonthermal and there is sufficient positive charge on the dust. There is a parameter range where both negative and positive solitary structures coexist.
Highlights
Introduction and basic formalismDusty plasma physics studies the properties of heavier charged dust in the presence of traditional electrons and ions
Many treatments describe the dust as negative ions, in view of the electron current charging models, but in other environments one may encounter positively charged dust, e.g. due to photoelectric effects
There is a recent interest in how waves are modified by this change of dust charge sign and by the concomitant excess of electrons over protons (Sakanaka and Shukla, 2000; Mamun and Shukla, 2002; Baluku et al, 2008; Mamun, 2008)
Summary
Dusty plasma physics studies the properties of heavier charged dust in the presence of traditional electrons and ions. These nonthermal velocity distributions include a ring structure, and the simplest analytical way to model such effects is by the Cairns distribution (Cairns et al, 1995) Combining these different strands, we study dust-acoustic solitary structures in plasma containing nonthermal electrons, hot positive ions and cold, positive dust grains, with respective subscripts e, i and d. The electrostatic potential φ has been normalized to κTe/e, Te being the temperature the electrons would have in the absence of nonthermal effects, and ne has been derived by integration of a phase space Cairns distribution function, expressed in terms of a parameter α characterizing the degree of nonthermality (Cairns et al, 1995) Such distributions are the simplest ones to model superthermal wings. We analyze the existence domains for nonlinear solitons and kinks in a systematic way, rather than focus on limited M values and compositional parameters, for which the numerics give solutions
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