@article{ISI:000447934500001, abstract = {We study various properties of the vibrational normal modes for Coulomb-interacting particles in two-dimensional irregular confinement using numerical simulations. By analyzing the participation ratio and spectral statistics, we characterize the vibrational modes for Coulomb clusters as localized, quasilocalized, and delocalized. We also study a correlation function to understand the spatial structure of these different kinds of modes and subsequently extract the associated characteristic length scales. We further demonstrate that, at any given temperature, particles exhibiting larger displacement over a time interval comparable to the structural relaxation time are strongly correlated with the low-frequency quasilocalized modes of the inherent structure corresponding to the initial configuration. Establishing this correlation for Coulomb clusters paves the path to identify the particular feature of the initial configuration that determines the previously observed heterogeneous dynamics of the particles at low temperatures in these systems.}, article-number = {042134}, author = {Ash, Biswarup and Dasgupta, Chandan and Ghosal, Amit}, doi = {10.1103/PhysRevE.98.042134}, eissn = {2470-0053}, issn = {2470-0045}, journal = {PHYSICAL REVIEW E}, month = {OCT 22}, number = {4}, researcherid-numbers = {Dasgupta, Chandan/R-4852-2019}, times-cited = {3}, title = {Analysis of vibrational normal modes for Coulomb clusters}, unique-id = {ISI:000447934500001}, volume = {98}, year = {2018} }