Localized excitations in dusty plasma crystals: A survey of theoretical results

I. Kourakis, P. Shukla, V. Koukouloyannis, B. Farokhi
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Abstract

The nonlinear aspects of dust motion in one- (1D) and two-dimensional (2D) dust lattices are reviewed. Horizontal (longitudinal, acoustic) as well as vertical (transverse, optic-like) dust grain motion in 1D monolayer is studied. Dust crystals are shown to support nonlinear kink-shaped solitary excitations (density solitons), related to longitudinal (in-plane) dust grain displacement, as well as modulated envelope localized modes associated with either longitudinal (in-plane, acoustic) or transverse (off-plane, inverse-optic) oscillations. Highly localized excitations ("Discrete Breathers"), associated with transverse dust-grain motion in 1D dust crystals, may also exist, as recently shown from first principles. Hexagonal (2D) dust lattices sustain modulated envelope structures, formed via modulational instability of in-plane vibrations. Discrete analysis of hexagonal crystals also suggests the occurrence of ultra-localized modes and vortices. With the exception of longitudinal density solitons, the above theoretical predictions have not yet been tested in the laboratory. This provides a challenging test-bed for experimental investigations, which will hopefully confirm these results.
尘埃等离子体晶体中的局部激发:理论结果综述
综述了一维(1D)和二维(2D)尘埃格中尘埃运动的非线性方面。研究了一维单层中水平(纵向,声学)和垂直(横向,光学)粉尘颗粒的运动。尘埃晶体被证明支持非线性扭结形孤立激发(密度孤子),与纵向(面内)尘埃颗粒位移有关,以及与纵向(面内,声学)或横向(面外,反光)振荡相关的调制包络局域模式。高度局域激发(“离散呼吸”),与一维尘埃晶体中的横向尘埃颗粒运动有关,也可能存在,正如最近从第一原理中显示的那样。六边形(2D)尘格维持调制包络结构,通过平面内振动的调制不稳定性形成。六边形晶体的离散分析也表明了超局域模式和涡旋的存在。除纵向密度孤子外,上述理论预测尚未在实验室中得到验证。这为实验研究提供了一个具有挑战性的试验台,有望证实这些结果。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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