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We consider the scaling properties characterizing the hyperuniformity (or anti-hyperuniformity) of long wavelength fluctuations in a broad class of one-dimensional substitution tilings. We present a simple argument that predicts the…

Statistical Mechanics · Physics 2018-06-29 Erdal C. Oğuz , Joshua E. S. Socolar , Paul J. Steinhardt , Salvatore Torquato

For two decades now, the importance of microstructure in the mechanical behaviour of a large collection of grains has been a topic of intense research. Many approaches have been developed to study the microstructure in granular materials,…

Soft Condensed Matter · Physics 2020-03-06 K. P. Krishnaraj

Disordered stealthy hyperuniform dielectric composites exhibit novel electromagnetic wave transport properties in two and three dimensions. Here, we carry out the first study of the electromagnetic properties of one-dimensional (1D)…

Optics · Physics 2023-08-01 Jaeuk Kim , Salvatore Torquato

The exploration of the rich dynamics of electrons is a frontier in fundamental nano-physics. The dynamical behavior of electrons is dominated by random and chaotic thermal motion with ultrafast ($\approx$ ps) and nanoscale scatterings. This…

Mesoscale and Nanoscale Physics · Physics 2021-08-11 Ruijie Qian , S. T. Chui , Zhenghua An , y Hongtao Xu , Zhifang Lin , Zian Ji , Wei Lu

Third-order pseudo-transitions in finite systems reflect reorganization beyond conventional criticality, yet their identification usually relies on microcanonical entropy, which is often inaccessible in practice. Here we introduce a…

Statistical Mechanics · Physics 2026-04-23 Wei Liu , Songzhi Lv , Xin Zhang , Fangfang Wang , Kai Qi , Zengru Di

The concept of a hyperuniformity disorder length $h$ was recently introduced for analyzing volume fraction fluctuations for a set of measuring windows. This length permits a direct connection to the nature of disorder in the spatial…

Soft Condensed Matter · Physics 2017-09-20 D. J. Durian

Hyperuniformity characterizes a state of matter for which density fluctuations diminish towards zero at the largest length scales. However, the task of determining whether or not an experimental system is hyperuniform is experimentally…

Soft Condensed Matter · Physics 2015-06-22 Remi Dreyfus , Ye Xu , Tim Still , Lawrence A. Hough , A. G. Yodh , Salvatore Torquato

Hyperuniform point patterns are characterized by vanishing infinite wavelength density fluctuations and encompass all crystal structures, certain quasi-periodic systems, and special disordered point patterns. This article generalizes the…

Statistical Mechanics · Physics 2015-05-14 Chase E. Zachary , Salvatore Torquato

Emergent hydrodynamics (EHD) bridges short-time unitarity with late-time thermodynamics, universal transport phenomena characterize the manner and speed of transport and thermalization. Typical non-integrable systems with few conserved…

Disordered Systems and Neural Networks · Physics 2025-10-23 Andrew Stasiuk , Garrett Heller , Lance Berkey , Bo Xing , Paola Cappellaro

We investigate the large-scale structure of amorphous ices and transitions between their different forms by quantifying their large-scale density fluctuations. Specifically, we simulate the isothermal compression of low-density amorphous…

Statistical Mechanics · Physics 2017-10-04 Fausto Martelli , Salvatore Torquato , Nicolas Giovambattista , Roberto Car

In quantum materials, electrons that have strong correlations tend to localize, leading to quantum spins as the building blocks for low-energy physics. When strongly correlated electrons coexist with more weakly-correlated conduction…

Strongly Correlated Electrons · Physics 2021-09-28 Haoyu Hu , Ang Cai , Lei Chen , Lili Deng , Jedediah H. Pixley , Kevin Ingersent , Qimiao Si

Electron backscatter diffraction is one of the most prevalent techniques used for microstructural characterization. In recent years, there has been an increase in the use of data-driven methods to analyze raw Kikuchi patterns. However, most…

Materials Science · Physics 2026-01-21 Qi Zhang , Santiago Benito , Sebastian Weber , Markus Stricker

Disordered hyperuniformity is a state of matter which has isotropic liquid like properties while simultaneously having crystalline like properties such as little variation in the density fluctuations over long distances. Such states arise…

Superconductivity · Physics 2017-09-20 Q. Le Thien , D. McDermott , C. J. Olson Reichhardt , C. Reichhardt

We investigate the short, medium, and long-range structure of soft disk configurations for a wide range of area fractions and simulation protocols by converting the real-space spectrum of volume fraction fluctuations for windows of width…

Soft Condensed Matter · Physics 2018-10-24 A. T. Chieco , M. Zu , A. J. Liu , N. Xu , D. J. Durian

Boundary driven diffusive systems describe a broad range of transport phenomena. We study large deviations of the density profile in these systems, using numerical and analytical methods. We find that the large deviation may be…

Statistical Mechanics · Physics 2015-10-07 Guy Bunin , Yariv Kafri , Daniel Podolsky

In this work, we present an atomistic first-principles framework for modeling the low-temperature electronic and transport properties of disordered two-dimensional (2D) materials with randomly distributed point defects (impurities). The…

Mesoscale and Nanoscale Physics · Physics 2020-02-11 Kristen Kaasbjerg

Composites are ideally suited to achieve desirable multifunctional effective properties since the best properties of different materials can be judiciously combined with designed microstructures. Here we establish cross-property relations…

Soft Condensed Matter · Physics 2020-05-13 Jaeuk Kim , Salvatore Torquato

The recent discoveries of short-range charge-density wave fluctuations in the normal state of several hole-doped cuprate superconductors constitute a significant addition to the known intrinsic properties of these materials. Besides likely…

Superconductivity · Physics 2015-06-19 J. E. Sonier

Disordered hyperuniform dispersions are exotic amorphous two-phase materials characterized by an anomalous suppression of long-wavelength volume-fraction fluctuations, endowing them with novel physical properties. While such unusual…

Soft Condensed Matter · Physics 2019-03-12 Jaeuk Kim , Salvatore Torquato

The fluctuation-dissipation relations (FDR) are powerful relations which can capture the essence of the interplay between a system and its environment. Challenging problems of this nature which FDRs aid in our understanding include the…

High Energy Physics - Theory · Physics 2022-08-02 Jen-Tsung Hsiang , B. L. Hu , Shih-Yuin Lin , Kazuhiro Yamamoto