Ordered and disordered point patterns across dimensions

Paper Title:

Ordered and disordered stealthy hyperuniform point patterns across spatial dimensions

Published on:

25 April 2024

Primary Category:

Statistical Mechanics

Paper Authors:

Peter K. Morse,

Paul J. Steinhardt,

Salvatore Torquato

Bullets

Key Details

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Stealthy patterns act like hard spheres in Fourier space

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Bravais lattices are the densest Fourier-space packings

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Disordered stealthy patterns decorrelate with dimension

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Structure loss agrees with theories of high-D liquids

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Helps explain when stealthy properties are useful

Explore the topics in this paper

dimensions

disordered patterns

periodic lattices

spatial structure

stealthy hyperuniform patterns

AI generated summary

Ordered and disordered point patterns across dimensions

This paper explores the properties of stealthy hyperuniform point patterns, which have unusual spatial structure, across dimensions. It shows mathematically that the most dense stealthy patterns are always periodic lattices. It also simulates disordered stealthy patterns, finding they lose structure with more dimensions. This helps explain why stealthy patterns have useful properties in our 3D world.