Theoretical Basis for Classifying Hyperuniform States of Two-Component Systems

Hyperuniform states of matter exhibit unusual suppression of density fluctuations at large scales, contrasting sharply with typical disordered configurations. Various types of hyperuniformity emerge in multicomponent disordered systems, significantly enhancing their functional properties for advance...

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Main Author: Hiroshi Frusawa
Format: Article
Language:English
Published: MDPI AG 2025-01-01
Series:Axioms
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Online Access:https://www.mdpi.com/2075-1680/14/1/39
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author Hiroshi Frusawa
author_facet Hiroshi Frusawa
author_sort Hiroshi Frusawa
collection DOAJ
description Hyperuniform states of matter exhibit unusual suppression of density fluctuations at large scales, contrasting sharply with typical disordered configurations. Various types of hyperuniformity emerge in multicomponent disordered systems, significantly enhancing their functional properties for advanced applications. This paper focuses on developing a theoretical framework for two-component hyperuniform systems. We provide a robust theoretical basis to identify novel conditions on structure factors for a variety of hyperuniform binary mixtures, classifying them into five distinct types with seven unique states. Our findings also offer valuable guidelines for designing multihyperuniform materials where each component preserves hyperuniformity, added to the overall hyperuniformity.
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spelling doaj-art-8a2648d2f3ad4ef58495cfe0290715582025-01-24T13:22:14ZengMDPI AGAxioms2075-16802025-01-011413910.3390/axioms14010039Theoretical Basis for Classifying Hyperuniform States of Two-Component SystemsHiroshi Frusawa0Laboratory of Statistical Physics, Kochi University of Technology, Tosa-Yamada, Kochi 782-8502, JapanHyperuniform states of matter exhibit unusual suppression of density fluctuations at large scales, contrasting sharply with typical disordered configurations. Various types of hyperuniformity emerge in multicomponent disordered systems, significantly enhancing their functional properties for advanced applications. This paper focuses on developing a theoretical framework for two-component hyperuniform systems. We provide a robust theoretical basis to identify novel conditions on structure factors for a variety of hyperuniform binary mixtures, classifying them into five distinct types with seven unique states. Our findings also offer valuable guidelines for designing multihyperuniform materials where each component preserves hyperuniformity, added to the overall hyperuniformity.https://www.mdpi.com/2075-1680/14/1/39hyperuniformitymulticomponentbinary mixturesstructure factormultihyperuniform materials
spellingShingle Hiroshi Frusawa
Theoretical Basis for Classifying Hyperuniform States of Two-Component Systems
Axioms
hyperuniformity
multicomponent
binary mixtures
structure factor
multihyperuniform materials
title Theoretical Basis for Classifying Hyperuniform States of Two-Component Systems
title_full Theoretical Basis for Classifying Hyperuniform States of Two-Component Systems
title_fullStr Theoretical Basis for Classifying Hyperuniform States of Two-Component Systems
title_full_unstemmed Theoretical Basis for Classifying Hyperuniform States of Two-Component Systems
title_short Theoretical Basis for Classifying Hyperuniform States of Two-Component Systems
title_sort theoretical basis for classifying hyperuniform states of two component systems
topic hyperuniformity
multicomponent
binary mixtures
structure factor
multihyperuniform materials
url https://www.mdpi.com/2075-1680/14/1/39
work_keys_str_mv AT hiroshifrusawa theoreticalbasisforclassifyinghyperuniformstatesoftwocomponentsystems