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Can exotic disordered “stealthy” particle configurations tolerate arbitrarily large holes?

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Abstract

The probability of finding a spherical cavity or “hole” of arbitrarily large size in typical disordered many-particle systems in the infinite-system-size limit (e.g., equilibrium liquid states) is non-zero. Such “hole” statistics are intimately linked to the thermodynamic and nonequilibrium physical properties of the system. Disordered “stealthy” many-particle configurations in d-dimensional Euclidean space [Doublestruck R]d are exotic amorphous states of matter that lie between a liquid and crystal that prohibit single-scattering events for a range of wave vectors and possess no Bragg peaks [Torquato et al., Phys. Rev. X, 2015, 5, 021020]. In this paper, we provide strong numerical evidence that disordered stealthy configurations across the first three space dimensions cannot tolerate arbitrarily large holes in the infinite-system-size limit, i.e., the hole probability has compact support. This structural “rigidity” property apparently endows disordered stealthy systems with novel thermodynamic and physical properties, including desirable band-gap, optical and transport characteristics. We also determine the maximum hole size that any stealthy system can possess across the first three space dimensions.

Graphical abstract: Can exotic disordered “stealthy” particle configurations tolerate arbitrarily large holes?

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Publication details

The article was received on 24 May 2017, accepted on 22 Jul 2017 and first published on 24 Jul 2017


Article type: Paper
DOI: 10.1039/C7SM01028A
Citation: Soft Matter, 2017, Advance Article
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    Can exotic disordered “stealthy” particle configurations tolerate arbitrarily large holes?

    G. Zhang, F. H. Stillinger and S. Torquato, Soft Matter, 2017, Advance Article , DOI: 10.1039/C7SM01028A

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