Three-dimensional construction of hyperuniform, nonhyperuniform, and antihyperuniform disordered heterogeneous materials and their transport properties via spectral density functions

Physical review. E, Journal Year: 2025, Volume and Issue: 111(3)

Published: March 21, 2025

Heterogeneous materials are of importance in many applications, and designing them with certain properties is a crucial inverse problem. The authors develop method to construct three-dimensional disordered heterogeneous by enforcing given spectral density function, which determines number effective properties. They generate various microstructures including hyperuniform, nonhyperuniform, antihyperuniform ones, significantly lower computational cost than existing methods.#AdvancingField #TechnicalAdvancement

Language: Английский

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Theoretical Basis for Classifying Hyperuniform States of Two-Component Systems

Axioms, Journal Year: 2025, Volume and Issue: 14(1), P. 39 - 39

Published: Jan. 5, 2025

Hyperuniform states of matter exhibit unusual suppression density fluctuations at large scales, contrasting sharply with typical disordered configurations. Various types hyperuniformity emerge in multicomponent systems, significantly enhancing their functional properties for advanced applications. This paper focuses on developing a theoretical framework two-component hyperuniform systems. We provide robust basis to identify novel conditions structure factors variety binary mixtures, classifying them into five distinct seven unique states. Our findings also offer valuable guidelines designing multihyperuniform materials where each component preserves hyperuniformity, added the overall hyperuniformity.

Language: Английский

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Local order metrics for many-particle systems across length scales

Physical Review Research, Journal Year: 2024, Volume and Issue: 6(3)

Published: Sept. 6, 2024

Formulating order metrics that sensitively quantify the degree of order/disorder in many-particle systems d-dimensional Euclidean space Rd across length scales is an outstanding challenge physics, chemistry, and materials science. Since infinite set n-particle correlation functions required to fully characterize a system, one must settle for reduced structural information, practice. We initiate program use local number variance σN2(R) associated with spherical sampling window radius R (which encodes pair correlations) integral measure derived from it ΣN(Ri,Rj) depends on two specified radial distances Ri Rj. Across first three dimensions (d=1,2,3), we find these can describe categorize 41 different models antihyperuniform, nonhyperuniform, disordered hyperuniform, ordered hyperuniform at scale R. Using our metrics, demonstrate importance assessing respect specific value R. These could also aid inverse design structures prescribed length-scale-specific degrees yield desired physical properties. In future work, would be fruitful explore higher-order moments points within R [S. Torquato , ] devise even more sensitive metrics. Published by American Physical Society 2024

Language: Английский

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A novel 3D uniformity measurement method in mechanical stirring systems

The Canadian Journal of Chemical Engineering, Journal Year: 2024, Volume and Issue: unknown

Published: Nov. 6, 2024

Abstract Accurate assessment of mixing uniformity is crucial in industrial processes. This study proposes an evaluation method for three‐dimensional (3D) processes that combines dual‐camera positioning and point pattern density fluctuation (PD) based on disordered hyperuniformity. employs a using to achieve precise capture reconstruction tracer particles 3D space. The data then evaluated performance the PD method. A relationship model between |k| time I values with was established λ = 1. results indicate decreases increase decrease values. To ensure accuracy method, feasibility analysis conducted conductometry. Additionally, superiority validated by comparing it 3D‐Q impact bottom height stirring paddle motor speed effect were also investigated. establishes fundamental groundwork theoretical framework optimizing parameters systems assessing uniformity. It offers important references insights engineering practices research related fields.

Language: Английский

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New metrics for measuring 2D uniformity in stirring system based on reconstruction of the particle trajectory

Process Safety and Environmental Protection, Journal Year: 2024, Volume and Issue: 212, P. 362 - 377

Published: Nov. 9, 2024

Language: Английский

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Hyperuniformity scaling of maximally random jammed packings of two-dimensional binary disks

Physical review. E, Journal Year: 2024, Volume and Issue: 110(6)

Published: Dec. 12, 2024

Jammed (mechanically rigid) polydisperse circular-disk packings in two dimensions (2D) are popular models for structural glass formers. Maximally random jammed (MRJ) states, which the most disordered subject to strict jamming, have been shown be hyperuniform. The characterization of hyperuniformity MRJ has covered only a very small part possible parameter space disk-size distributions. Hyperuniform heterogeneous media those that anomalously suppress large-scale volume-fraction fluctuations compared typical systems, i.e., their spectral densities ${\stackrel{\ifmmode \tilde{}\else \~{}\fi{}}{\ensuremath{\chi}}}_{{}_{V}}(\mathbf{k})$ tend zero as wavenumber $k\ensuremath{\equiv}|\mathbf{k}|$ tends and often described by power-law \~{}\fi{}}{\ensuremath{\chi}}}_{{}_{V}}(\mathbf{k})\ensuremath{\sim}{k}^{\ensuremath{\alpha}}$ $k\phantom{\rule{0.16em}{0ex}}\ensuremath{\rightarrow}\phantom{\rule{0.16em}{0ex}}0$ where $\ensuremath{\alpha}$ is so-called scaling exponent. In this work, we generate characterize structure strictly binary with size ratio $\ensuremath{\beta}={D}_{L}/{D}_{S}$, ${D}_{L}$ ${D}_{S}$ large disk diameters, respectively, molar sizes 1:1. particular, characterizing rattler fraction ${\ensuremath{\phi}}_{R}$, configurations an ensemble fixed $\ensuremath{\beta}$ isostatic, $n$-fold orientational order metrics ${\ensuremath{\psi}}_{n}$ ensembles wide range ratios $\ensuremath{\beta}$, show $1.2\ensuremath{\lesssim}\ensuremath{\beta}\ensuremath{\lesssim}2.0$ produce maximally (MRJ)-like according several criteria. Using large-$R$ volume variance ${\ensuremath{\sigma}}_{{}_{V}}^{2}(R)$ associated spherical sampling window radius $R$, extract exponent from these packings, find function $\ensuremath{\alpha}(\ensuremath{\beta})$ maximized at $\ensuremath{\beta}\phantom{\rule{0.16em}{0ex}}=\phantom{\rule{0.16em}{0ex}}1.4$ (with $\ensuremath{\alpha}=0.450\ifmmode\pm\else\textpm\fi{}0.002$) within $1.2\ensuremath{\le}\ensuremath{\beta}\ensuremath{\le}2.0$. Just outside values, begins decrease more quickly, far nonhyperuniform, $\ensuremath{\alpha}=0$. Moreover, compute density use it across length scales then determine time-dependent diffusion spreadability MRJ-like packings. results work can used inform experimental design hyperuniform thin-film materials tunable degrees translational disorder.

Language: Английский

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Microstructure Morphology of Chemical and Structural Phase Separation in Thermally treated KxFe2‐ySe2 Superconductor

ChemPhysChem, Journal Year: 2024, Volume and Issue: unknown

Published: Oct. 21, 2024

Abstract The iron‐based K x Fe 2‐ y Se 2 superconductor displays chemical, structural and electronic phase separation at nanoscale to microscale, leading the coexisting metallic embedded in an antiferromagnetic host matrix. character of system is believed arise from a percolative granular network affecting its transport normal as well superconducting state. This can be manipulated controlled through thermal treatments. In this study, we have used scanning X‐ray micro‐fluorescence visualize morphology chemical coupled percolation , by two distinct treatments, i. e., fast quenching slow cooling. We find differing spatial correlation between distributions samples, ascribed different degree vacancy ordering. also identified intermediate that acts interface main phases. high temperature produces directionally oriented clustered microstructure which threshold lower hence more effective networks. Instead, cooling results larger interfaces around seems affect properties system. provide quantitative characterization microstructural differently grown showing potential for design devices based on sub‐micron scale separation, thus opening avenues further studies complex heterogeneous functional structures.

Language: Английский

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