Mode couplings and resonance instabilities in dust clusters

Abstract

The normal modes for three to seven particle two-dimensional (2D) dust clusters in a complex plasma are investigated using an N-body simulation. The ion wakefield downstream of each particle is shown to induce coupling between horizontal and vertical modes. The rules of mode coupling are investigated by classifying the mode eigenvectors employing the Bessel and trigonometric functions indexed by order integers (m, n). It is shown that coupling only occurs between two modes with the same m and that horizontal modes having a higher shear contribution exhibit weaker coupling. Three types of resonances are shown to occur when two coupled modes have the same frequency. Discrete instabilities caused by both the first and third type of resonances are verified and instabilities caused by the third type of resonance are found to induce melting. The melting procedure is observed to go through a two-step process with the solid-liquid transition closely obeying the Lindemann criterion.

References in corpus (10)

• Wigner Crystallization in mesoscopic 2D electron systems
• Direct observation of mode-coupling instability in two-dimensional plasma crystals
• Vertical pairing of identical particles suspended in the plasma sheath
• Magic number behavior for heat capacities of medium sized classical Lennard-Jones clusters
• Wave mode coupling due to plasma wakes in two-dimensional plasma crystals: In-depth view
• Melting of trapped few particle systems
• Structural phase transitions and out-of-plane dust lattice instabilities in vertically confined plasma crystals
• A Simple Method to Measure the Interaction Potential of Dielectric Grains in a Dusty Plasma
• Dynamics of a Dust Crystal with Two Different Size Dust Species
• Vibrational Modes and Instabilities of a Dust Particle Pair in a Complex Plasma

Cited by in corpus (10)

• Dust charging in dynamic ion wakes
• Mode coupling and resonance instabilities in quasi-two-dimensional dust clusters in complex plasmas
• Structural correlations in diffusiophoretic colloidal mixtures with nonreciprocal interactions
• Wakes in inhomogeneous plasmas
• Buckling of 2D Plasma Crystals with Non-reciprocal Interactions
• Interaction force in a vertical dust chain inside a glass box
• Fractional Laplacian Spectral Approach to Turbulence in a Dusty Plasma Monolayer
• Charge measurement of ${\text{SiO}}_2$ nanoparticles in an RF-plasma by IR absorption
• Evolution of Ion Wake Characteristics with Experimental Conditions
• Ion wake induced mode coupling in a horizontal chain in complex plasmas