Linear and nonlinear dynamics of a dust bicrystal consisting of positive and negative dust particles

I. Kourakis; P. K. Shukla; G. E. Morfill

doi:10.1063/1.2130693

Linear and nonlinear dynamics of a dust bicrystal consisting of positive and negative dust particles

I. Kourakis, P. K. Shukla, G. E. Morfill

Mathematics

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4 Scopus citations

Abstract

A dusty plasma crystalline configuration consisting of charged dust grains of alternating charge sign (⋯+-+-+⋯) and mass is considered. Both charge and mass of each dust species are taken to be constant. Considering the equations of longitudinal motion, a dispersion relation for linear longitudinal vibrations is derived from first principles and then analyzed. Two harmonic modes are obtained, namely, an acoustic mode and an inverse-dispersive optic-like one. The nonlinear aspects of acoustic longitudinal dust grain motion are addressed via a generalized Boussinesq (and, alternatively, a generalized Korteweg-de Vries) description.

Original language	British English
Article number	112104
Pages (from-to)	1-6
Number of pages	6
Journal	Physics of Plasmas
Volume	12
Issue number	11
DOIs	https://doi.org/10.1063/1.2130693
State	Published - 2005

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10.1063/1.2130693

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abstract = "A dusty plasma crystalline configuration consisting of charged dust grains of alternating charge sign (⋯+-+-+⋯) and mass is considered. Both charge and mass of each dust species are taken to be constant. Considering the equations of longitudinal motion, a dispersion relation for linear longitudinal vibrations is derived from first principles and then analyzed. Two harmonic modes are obtained, namely, an acoustic mode and an inverse-dispersive optic-like one. The nonlinear aspects of acoustic longitudinal dust grain motion are addressed via a generalized Boussinesq (and, alternatively, a generalized Korteweg-de Vries) description.",

author = "I. Kourakis and Shukla, {P. K.} and Morfill, {G. E.}",

note = "Funding Information: This work was partially supported by the Deutsche Forschungsgemeinschaft (Bonn, Germany) through the Sonderforschungsbereich (SFB) 591—Universelles Verhalten Gleichgewichtsferner Plasmen: Heizung, Transport und Strukturbildung.",

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AU - Kourakis, I.

AU - Shukla, P. K.

AU - Morfill, G. E.

N1 - Funding Information: This work was partially supported by the Deutsche Forschungsgemeinschaft (Bonn, Germany) through the Sonderforschungsbereich (SFB) 591—Universelles Verhalten Gleichgewichtsferner Plasmen: Heizung, Transport und Strukturbildung.

PY - 2005

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N2 - A dusty plasma crystalline configuration consisting of charged dust grains of alternating charge sign (⋯+-+-+⋯) and mass is considered. Both charge and mass of each dust species are taken to be constant. Considering the equations of longitudinal motion, a dispersion relation for linear longitudinal vibrations is derived from first principles and then analyzed. Two harmonic modes are obtained, namely, an acoustic mode and an inverse-dispersive optic-like one. The nonlinear aspects of acoustic longitudinal dust grain motion are addressed via a generalized Boussinesq (and, alternatively, a generalized Korteweg-de Vries) description.

AB - A dusty plasma crystalline configuration consisting of charged dust grains of alternating charge sign (⋯+-+-+⋯) and mass is considered. Both charge and mass of each dust species are taken to be constant. Considering the equations of longitudinal motion, a dispersion relation for linear longitudinal vibrations is derived from first principles and then analyzed. Two harmonic modes are obtained, namely, an acoustic mode and an inverse-dispersive optic-like one. The nonlinear aspects of acoustic longitudinal dust grain motion are addressed via a generalized Boussinesq (and, alternatively, a generalized Korteweg-de Vries) description.

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ER -

Linear and nonlinear dynamics of a dust bicrystal consisting of positive and negative dust particles

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