Ghosh Samiran
Department of Applied Mathematics, University of Calcutta, 92, Acharya Prafulla Chandra Road, Kolkata-700 009, India.
Phys Rev E Stat Nonlin Soft Matter Phys. 2014 Sep;90(3):033108. doi: 10.1103/PhysRevE.90.033108. Epub 2014 Sep 15.
The propagation of a nonlinear low-frequency mode in two-dimensional (2D) monolayer hexagonal dusty plasma crystal in presence of external magnetic field and dust-neutral collision is investigated. The standard perturbative approach leads to a 2D Korteweg-de Vries (KdV) soliton for the well-known dust-lattice mode. However, the Coriolis force due to crystal rotation and Lorentz force due to magnetic field on dust particles introduce a linear forcing term, whereas dust-neutral drag introduce the usual damping term in the 2D KdV equation. This new nonlinear equation is solved both analytically and numerically to show the competition between the linear forcing and damping in the formation of quasilongitudinal soliton in a 2D strongly coupled complex (dusty) plasma. Numerical simulation on the basis of the typical experimental plasma parameters and the analytical solution reveal that the neutral drag force is responsible for the usual exponential decay of the soliton, whereas Coriolis and/or Lorentz force is responsible for the algebraic decay as well as the oscillating tail formation of the soliton. The results are discussed in the context of the plasma crystal experiment.
研究了在存在外部磁场和尘埃-中性粒子碰撞的二维单层六角形尘埃等离子体晶体中非线性低频模式的传播。标准微扰方法针对著名的尘埃晶格模式导出了二维科特韦格-德弗里斯（KdV）孤子。然而，由于晶体旋转产生的科里奥利力和尘埃粒子上的磁场产生的洛伦兹力引入了一个线性强迫项，而尘埃-中性粒子拖曳在二维KdV方程中引入了通常的阻尼项。对这个新的非线性方程进行了解析求解和数值求解，以展示在二维强耦合复杂（尘埃）等离子体中准纵向孤子形成过程中线性强迫和阻尼之间的竞争。基于典型实验等离子体参数的数值模拟和解析解表明，中性拖曳力导致孤子通常的指数衰减，而科里奥利力和/或洛伦兹力导致孤子的代数衰减以及振荡尾部的形成。在等离子体晶体实验的背景下对结果进行了讨论。
