dorsal/arxiv
View SchemaIntrinsic localized modes in dust lattices
| Authors | Ioannis Kourakis, Vassileios Basios, Padma Kant Shukla |
|---|---|
| Categories | |
| ArXiv ID | physics/0410095 |
| URL | https://arxiv.org/abs/physics/0410095 |
Abstract
Intrinsic Localized Modes (ILM) (or Discrete Breathers, DB) are localized oscillatory modes known to occur in atomic or molecular chains characterized by coupling and/or on-site potential nonlinearity. Quasi-crystals of charged mesoscopic dust grains (dust lattices), which have been observed since hardly a decade ago, are an exciting paradigm of such a nonlinear chain. In gas-discharge experiments, these crystals are subject to forces due to an externally imposed electric and/or magnetic field(s), which balance(s) gravity at the levitated equilibrium position, as well as to electrostatic inter-grain interaction forces. Despite the profound role of nonlinearity, which may be due to inter-grain coupling, mode- coupling and to the sheath environment, the elucidation of the nonlinear mechanisms governing dust crystals is still in a preliminary stage. This study is devoted to an investigation, from very first principles, of the existence of discrete localized modes in dust layers. Relying on a set of evolution equation for transverse charged grain displacements, we examine the conditions for the existence and sustainance of discrete localized modes and discuss the dependence of their characteristics on intrinsic plasma parameters. In addition, the possibility of DB stabilisation via an external force is discussed.
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"abstract": "Intrinsic Localized Modes (ILM) (or Discrete Breathers, DB) are localized\noscillatory modes known to occur in atomic or molecular chains characterized by\ncoupling and/or on-site potential nonlinearity. Quasi-crystals of charged\nmesoscopic dust grains (dust lattices), which have been observed since hardly a\ndecade ago, are an exciting paradigm of such a nonlinear chain. In\ngas-discharge experiments, these crystals are subject to forces due to an\nexternally imposed electric and/or magnetic field(s), which balance(s) gravity\nat the levitated equilibrium position, as well as to electrostatic inter-grain\ninteraction forces. Despite the profound role of nonlinearity, which may be due\nto inter-grain coupling, mode- coupling and to the sheath environment, the\nelucidation of the nonlinear mechanisms governing dust crystals is still in a\npreliminary stage. This study is devoted to an investigation, from very first\nprinciples, of the existence of discrete localized modes in dust layers.\nRelying on a set of evolution equation for transverse charged grain\ndisplacements, we examine the conditions for the existence and sustainance of\ndiscrete localized modes and discuss the dependence of their characteristics on\nintrinsic plasma parameters. In addition, the possibility of DB stabilisation\nvia an external force is discussed.",
"arxiv_id": "physics/0410095",
"authors": [
"Ioannis Kourakis",
"Vassileios Basios",
"Padma Kant Shukla"
],
"categories": [
"physics.plasm-ph"
],
"title": "Intrinsic localized modes in dust lattices",
"url": "https://arxiv.org/abs/physics/0410095"
},
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