Comparison of the static structure factor at long wavelengths for a dusty plasma liquid and other liquids

Especially small values of the static structure factor S(k) at long wavelengths, i.e., small k, were obtained in an analysis of experimental data, for a two-dimensional dusty plasma in its liquid state. For comparison, an analysis of S(k) data was carried out for many previously published experiments with other liquids. The latter analysis indicates that the magnitude of S(k) at small k is typically in a range 0.02-0.13. In contrast, the corresponding value for a dusty plasma liquid was found to be as small as 0.0139. Another basic finding for the dusty plasma liquid is that S(k) at small k generally increases with temperature, with its lowest value, noted above, occurring near the melting point. Simulations were carried out for the dusty plasma liquid, and their results are generally consistent with the experiment. Since a dusty plasma has a soft interparticle interaction, our findings support earlier theoretical suggestions that a useful design strategy for creating materials having exceptionally low values of S(0), so-called hyperuniform materials, is the use of a condensed material composed of particles that interact softly at their periphery.

Automated summary

An analysis of experimental data showed that the static structure factor S(k) of a two-dimensional dusty plasma in its liquid state is particularly small at long wavelengths, specifically for small k values. Comparison with previously published experiments with other liquids revealed that the magnitude of S(k) at small k is typically in the range of 0.02-0.13, while for the dusty plasma liquid, it was found to be as small as 0.0139. Another significant finding is that S(k) at small k generally increases with temperature in the dusty plasma liquid, with its lowest value occurring near the melting point. Simulations of the dusty plasma liquid were consistent with experimental results, supporting earlier theoretical suggestions for creating hyperuniform materials with exceptionally low S(0) values using condensed materials that have soft interparticle interactions.