Dust lattice wave dispersion relations in two-dimensional hexagonal crystals including the effect of dust charge polarization

B. Farokhi; I. Kourakis; P. K. Shukla

doi:10.1016/j.physleta.2006.02.016

Dust lattice wave dispersion relations in two-dimensional hexagonal crystals including the effect of dust charge polarization

B. Farokhi, I. Kourakis, P. K. Shukla

Mathematics

Research output: Contribution to journal › Article › peer-review

21 Scopus citations

Abstract

A dusty plasma crystalline configuration with equal charge dust grains and mass is considered. Both charge and mass of each dust species are taken to be constant. Two differential equations for a two-dimensional hexagonal crystal on the basis of a Yukawa-type potential energy and a "dressed" potential energy, accounting for dust charge polarization, are derived and compared. The dispersion relation for both longitudinal and transverse wave propagation in an arbitrary direction is derived. A comparison to analytical and experimental results reported previously is carried out.

Original language	British English
Pages (from-to)	122-128
Number of pages	7
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	355
Issue number	2
DOIs	https://doi.org/10.1016/j.physleta.2006.02.016
State	Published - 26 Jun 2006

Keywords

Debye lattices
Dusty plasma crystals
Electrostatic interactions

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10.1016/j.physleta.2006.02.016

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title = "Dust lattice wave dispersion relations in two-dimensional hexagonal crystals including the effect of dust charge polarization",

abstract = "A dusty plasma crystalline configuration with equal charge dust grains and mass is considered. Both charge and mass of each dust species are taken to be constant. Two differential equations for a two-dimensional hexagonal crystal on the basis of a Yukawa-type potential energy and a {"}dressed{"} potential energy, accounting for dust charge polarization, are derived and compared. The dispersion relation for both longitudinal and transverse wave propagation in an arbitrary direction is derived. A comparison to analytical and experimental results reported previously is carried out.",

keywords = "Debye lattices, Dusty plasma crystals, Electrostatic interactions",

author = "B. Farokhi and I. Kourakis and Shukla, {P. K.}",

note = "Funding Information: One of us (I.K.) acknowledges partial support from the Deutsche Forschungsgemeinschaft (Bonn, Germany) through the Programme Sonderforschungsbereich (SFB) 591—Universelle Verhalten Gleichgewichtsferner Plasmen: Heizung, Transport und Strukturbildung. This research was initiated while the authors were attending the 2005 Autumn College on Plasma Physics at the Abdus Salam ICTP, in Trieste. The hospitality and support of the latter are gratefully acknowledged.",

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doi = "10.1016/j.physleta.2006.02.016",

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AU - Farokhi, B.

AU - Kourakis, I.

AU - Shukla, P. K.

N1 - Funding Information: One of us (I.K.) acknowledges partial support from the Deutsche Forschungsgemeinschaft (Bonn, Germany) through the Programme Sonderforschungsbereich (SFB) 591—Universelle Verhalten Gleichgewichtsferner Plasmen: Heizung, Transport und Strukturbildung. This research was initiated while the authors were attending the 2005 Autumn College on Plasma Physics at the Abdus Salam ICTP, in Trieste. The hospitality and support of the latter are gratefully acknowledged.

PY - 2006/6/26

Y1 - 2006/6/26

N2 - A dusty plasma crystalline configuration with equal charge dust grains and mass is considered. Both charge and mass of each dust species are taken to be constant. Two differential equations for a two-dimensional hexagonal crystal on the basis of a Yukawa-type potential energy and a "dressed" potential energy, accounting for dust charge polarization, are derived and compared. The dispersion relation for both longitudinal and transverse wave propagation in an arbitrary direction is derived. A comparison to analytical and experimental results reported previously is carried out.

AB - A dusty plasma crystalline configuration with equal charge dust grains and mass is considered. Both charge and mass of each dust species are taken to be constant. Two differential equations for a two-dimensional hexagonal crystal on the basis of a Yukawa-type potential energy and a "dressed" potential energy, accounting for dust charge polarization, are derived and compared. The dispersion relation for both longitudinal and transverse wave propagation in an arbitrary direction is derived. A comparison to analytical and experimental results reported previously is carried out.

KW - Debye lattices

KW - Dusty plasma crystals

KW - Electrostatic interactions

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DO - 10.1016/j.physleta.2006.02.016

M3 - Article

AN - SCOPUS:33646807137

SN - 0375-9601

VL - 355

SP - 122

EP - 128

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 2

ER -

Dust lattice wave dispersion relations in two-dimensional hexagonal crystals including the effect of dust charge polarization

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Keywords

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