论文标题

在强耦合的尘土等离子体中对重力驱动不稳定的数值研究。第I部分:瑞利 - 泰勒不稳定性和浮力驱动的不稳定性

A numerical study of gravity driven instability in strongly coupled dusty plasmas.Part I: Rayleigh-Taylor instability and Buoyancy-driven instability

论文作者

Dharodi, Vikram S., Das, Amita

论文摘要

瑞利 - 泰勒和浮力驱动的不稳定性是不均匀介质的非常常见的不稳定性。我们在这里检查了这些不稳定性如何通过使用不可压缩的一般流体动力(I-GHD)流体模型(I-GHD)模型来为不可压缩的粘弹性流体(例如强耦合尘土飞扬的等离子体)增长。由于灰尘颗粒非常庞大,因此地球的重力吸引力在其动力学中具有重要作用。在本文中,已经考虑了由于重力G和强耦合在重力分层的尘土高血浆液中引起的加速度。我们发现,弹性的外观通过降低粘稠度的效果比麦克斯韦放松时间$ {τ_m} $降低粘质RT不稳定性的增长加快了粘弹性RT不稳定性的生长。浮力驱动的情况在背景培养基中的低/高密度区域的空间定位(在两个维度上)也在重力存在下也得到了发展。我们的研究表明,两种不稳定性都随着培养基的耦合强度的提高而被抑制。通过进行分析以及通过进行二维完全非线性模拟来说明这种抑制。

Rayleigh-Taylor and Buoyancy-driven instabilities are very common instabilities for an inhomogeneous medium. We examine here how these instabilities grow for incompressible viscoelastic fluids like a strongly coupled dusty plasma by using incompressible generalized hydrodynamic (i-GHD) fluid model. Since the dust particles are pretty massive, the gravitational attraction of earth has a significant role in its dynamics. In this paper the acceleration due to gravity g and the role of strong coupling in the context of gravitationally stratified dusty plasma fluid have been considered. We find that the appearance of elasticity speed up the growth of viscoelastic RT instability by reducing the effect of viscosity at timescales shorter than the Maxwell relaxation time ${τ_m}$. The buoyancy driven situation with spatially localized (in both dimensions) of low/high density regions placed in a background medium has also been evolved in the presence of gravity. Our studies show that both the instabilities get suppressed with increasing coupling strength of the medium. This suppression has been illustrated analytically as well as by carrying out a two-dimensional fully nonlinear simulation.

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