# 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}
}
• Published 31 August 2020
• Physics
• Journal of Statistical Mechanics: Theory and Experiment
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 $n… ## Figures and Tables from this paper ## References SHOWING 1-10 OF 103 REFERENCES Understanding molecular simulation: from algorithms to applications • Materials Science, Physics • 1996 The physics behind the "recipes" of molecular simulation for materials science is explained and the implementation of simulation methods is illustrated in pseudocodes and their practical use in the case studies used in the text. Statistical physics for cosmic structures • Physics, Mathematics • 2007 The recent observations of galaxy and dark matter clumpy distributions have provided new elements to the understanding of the problem of cosmological structure formation. The strong clumping Theory of Simple Liquids 2nd edn (London: Academic) https://www.elsevier .com/books/theory-of-simple-liquids/hansen/978-0-08-057101-0 • 1986 Random Heterogeneous Materials: Microstructure and Macroscopic Properties • Physics • 2005 Motivation and overview * PART I Microstructural characterization * Microstructural descriptors * Statistical mechanics of particle systems * Unified approach * Monodisperse spheres * Polydisperse Determining the Mesh Size of Polymer Solutions via the Pore Size Distribution • Physics • 2019 In order to characterize the geometrical mesh size$\xi\$, we simulate a solution of coarse-grained polymers with densities ranging from the dilute to the concentrated regime and for different chain
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