# Nearest-neighbor functions for disordered stealthy hyperuniform many-particle systems

@article{Middlemas2020NearestneighborFF, title={Nearest-neighbor functions for disordered stealthy hyperuniform many-particle systems}, author={T. M. Middlemas and Salvatore Torquato}, journal={Journal of Statistical Mechanics: Theory and Experiment}, year={2020} }

Disordered stealthy many-particle systems in $\mathbb{R}^d$ are exotic states of matter that suppress single scattering events for a finite range of wavenumbers around the origin in reciprocal space. We derive analytical formulas for the nearest-neighbor functions of disordered stealthy systems. First, we analyze asymptotic small-$r$ approximations and bounding expressions of the nearest-neighbor functions based on the pseudo-hard-sphere ansatz. We then determine how many of the standard $n…

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