Sampling eigenmodes in colloidal solids
A. C. Maggs, M. Schindler
TL;DR
This paper investigates the spectral properties of correlation matrices in colloidal solids, revealing that eigenvectors at spectrum edges closely approximate true vibrational modes, unlike those in the middle.
Contribution
It demonstrates that eigenvectors at the spectrum edges can reliably represent true vibrational modes in colloidal materials, improving mode analysis accuracy.
Findings
Eigenvectors at spectrum edges are good approximations of true modes.
Eigenvectors in the middle of the spectrum are strongly mixed.
Correlation matrices can effectively characterize vibrational properties.
Abstract
We study the properties of correlation matrices widely used in the characterisation of vibrational modes in colloidal materials. We show that the eigenvectors in the middle of the spectrum are strongly mixed, but that at both the top and the bottom of the spectrum it is possible to extract a good approximation to the true eigenmodes of an elastic system.
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