尘埃晶格中的本征局域模
Intrinsic localized modes in dust lattices
摘要：
本征局域模（Intrinsic Localized Modes，ILM）或离散呼吸子（Discrete Breathers，DB）是已知发生在原子或分子链中的局域振荡模，其特征在于耦合和/或原位势非线性。带电介观尘埃颗粒（尘埃晶格）的准晶体，这已经被观察到，因为不到十年前，是一个令人兴奋的范例，这样一个非线性链。在气体放电实验中，这些晶体受到由于外部施加的电场和/或磁场（其在悬浮平衡位置处平衡重力）而产生的力，以及受到静电颗粒间相互作用力。尽管非线性的深刻作用，这可能是由于晶粒间耦合，模式耦合和鞘层环境，非线性机制的说明，管理尘埃晶体仍处于初步阶段。本研究致力于调查，从第一性原理，在尘埃层中的离散本地化模式的存在。基于一组横向带电粒子位移的演化方程，我们研究了离散局域模的存在和维持条件，并讨论了它们的特性对等离子体本征参数的依赖性。此外，DB稳定通过外力的可能性进行了讨论。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
