Significance of the nature of disorder on the universal features of the spatio-temporal correlations of two-dimensional Coulomb-clusters

TL;DR

This paper investigates how different types of disorder affect the universal static and dynamic properties of two-dimensional Coulomb clusters, revealing that while qualitative behaviors are similar, quantitative differences in relaxation times are significant.

Contribution

It compares the effects of two disorder models on Coulomb clusters, highlighting their impact on relaxation times and dynamic responses, which was not previously detailed.

Findings

Disorder type influences single-particle dynamics, causing diffusion or chaos.

Qualitative properties of many-particle systems are similar across disorder types.

Quantitative relaxation times vary significantly with impurity concentration.

Abstract

We comprehend the role of imperfections in materials consisting of interacting particles, arising from different origins on their universal features. Specifically, we report the static and dynamic responses in a cluster of Coulomb interacting particles in two dimensions. Confined systems with pinned impurities are studied, and results are compared with those from irregularly trapped system of particles. While the disorder of first type leads to diffusive single-particle dynamics, the motion of a single particle in an irregular trap is chaotic but ballistic. The many-particle system does not differentiate between these two models of disorder insofar as their qualitative properties are concerned -- particularly for describing the thermal melting of the underlying Coulomb-"solid". However, quantitative differences persist -- the relaxation time scales differ significantly by tuning impurity concentration.