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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