Properties of two - dimensional dusty plasma clusters

TL;DR

This paper investigates two-dimensional dusty plasma clusters, analyzing their structural configurations, normal modes, phase transitions, and melting behavior as functions of plasma parameters and temperature.

Contribution

It provides a comprehensive analysis of ground-state structures, normal modes, and phase transitions in 2D dusty plasma clusters with varying Debye screening lengths.

Findings

Structural changes as R_D varies, indicating phase transitions.

Melting behavior characterized by temperature and plasma density.

Possible coexistence phenomena in small clusters.

Abstract

Two-dimensional classical cluster of particles interacting through a screened Coulomb potential is studied. This system can be used as a model for "dusty particles" in high-frequency discharge plasma. For systems consisting of N = 2 - 40 particles and confined by a harmonic potential we find ground-state configurations, eigenfrequencies and eigenvectors for the normal modes as a function of the Debye screening length R_D in plasma. Variations in R_D cause changes in the ground-state structure of clusters, each structural rearrangement can be considered as a phase transition of first or second order (with respect to parameter R_D). Monte Carlo and molecular dynamics are used to study in detail the melting of the clusters as the temperature is increased. By varying the density and the temperature of plasma, to which the particles are immersed, one can modulate thermodynamical properties of the system, transforming it in a controllable way to an ordered (crystal-like), orientationaly disordered or totally disordered (liquid-like) states. The possibility of dynamical coexistence phenomena in small clusters is discussed.