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The structural properties of additive binary hard-sphere mixtures are addressed as a follow-up of a previous paper [S. Pieprzyk et al., Phys. Rev. E 101, 012117 (2020)]. The so-called rational-function approximation method and an approach…

Dense packing of hydrophobic residues in the cores of globular proteins determines their stability. Recently, we have shown that protein cores possess packing fraction $\phi \approx 0.56$, which is the same as dense, random packing of amino…

生物大分子 · 定量生物学 2019-02-22 John D. Treado , Zhe Mei , Lynne Regan , Corey S. O'Hern

The unconventional thermal properties of jammed amorphous solids are directly related to their density of vibrational states. While the vibrational spectrum of jammed soft sphere solids has been fully described, the vibrational spectrum of…

软凝聚态物质 · 物理学 2020-07-01 Francesco Arceri , Eric I. Corwin

Disordered and hyperuniform structures of densely packed spheres near and at jamming are characterized by vanishing of long-wavelength density fluctuations, or equivalently by long-range power-law decay of the direct correlation function…

统计力学 · 物理学 2021-10-04 Hiroshi Frusawa

Obtaining general relations between macroscopic properties of random assemblies, such as density, and the microscopic properties of their constituent particles, such as shape, is a foundational challenge in the study of amorphous materials.…

软凝聚态物质 · 物理学 2016-05-05 Yoav Kallus

Sphere packings in high dimensions interest mathematicians and physicists and have direct applications in communications theory. Remarkably, no one has been able to provide exponential improvement on a 100-year-old lower bound on the…

度量几何 · 数学 2007-05-23 S. Torquato , F. H. Stillinger

Inertial particle data from three-dimensional direct numerical simulations of particle-laden homogeneous isotropic turbulence at high Reynolds number are analyzed using Voronoi tessellation of the particle positions, considering different…

流体动力学 · 物理学 2020-11-12 Thibault Oujia , Keigo Matsuda , Kai Schneider

The Voronoi tessellation is the partition of space for a given seeds pattern and the result of the partition depends completely on the type of given pattern "random", Poisson-Voronoi tessellations (PVT), or "non-random", Non Poisson-Voronoi…

数据分析、统计与概率 · 物理学 2015-11-23 M. Ferraro , L. Zaninetti

In nonequilibrium statistical physics, quantifying the nearest (and higher-order) neighbors and free volumes of particles in many-body systems is crucial to elucidating the origin of macroscopic collective phenomena, such as glass/granular…

统计力学 · 物理学 2024-05-07 Daigo Mugita , Kazuyoshi Souno , Hiroaki Koyama , Taisei Nakamura , Masaharu Isobe

Statistics of the free volume available to individual particles have previously been studied for simple and complex fluids, granular matter, amorphous solids, and structural glasses. Minkowski tensors provide a set of shape measures that…

We present a morphological analysis of atom probe data of nanoscale microstructural features, using methods developed by the astrophysics community to describe the shape of superclusters of galaxies. We describe second-phase regions using…

材料科学 · 物理学 2020-01-30 Daniel R Mason , Andrew J London

An approach to obtain the structural properties of additive binary hard-sphere mixtures is presented. Such an approach, which is a nontrivial generalization of the one recently used for monocomponent hard-sphere fluids [S. Pieprzyk, A. C.…

软凝聚态物质 · 物理学 2020-01-20 S. Pieprzyk , A. C. Brańka , S. B. Yuste , A. Santos , M. López de Haro

Minkowski tensors, also known as tensor valuations, provide robust $n$-point information for a wide range of random spatial structures. Local estimators for point clouds, e.g., representing voxelized data, however, are unavoidably biased…

统计理论 · 数学 2026-04-06 Daniel Hug , Michael A. Klatt , Dominik Pabst

Questions surrounding the spatial disposition of particles in various condensed-matter systems continue to pose many theoretical challenges. This paper explores the geometric availability of amorphous many-particle configurations that…

统计力学 · 物理学 2007-05-23 S. Torquato , F. H. Stillinger

In non-linear scales, the matter density distribution is not Gaussian. Consequently, the widely used two-point correlation function is not adequate anymore to capture the matter density field's entire behaviour. Among all statistics beyond…

宇宙学与河外天体物理 · 物理学 2022-04-20 Mohammad Ansari Fard , Zahra Baghkhani , Laya Ghodsi , Sina Taamoli , Farbod Hassani , Shant Baghram

Stochastic simulations are used to characterize the knotting distributions of random ring polymers confined in spheres of various radii. The approach is based on the use of multiple Markov chains and reweighting techniques, combined with…

软凝聚态物质 · 物理学 2009-11-11 C. Micheletti , D. Marenduzzo , E. Orlandini , D. W. Sumners

It was shown recently that the Minkowski content of a bounded set $A$ in $\mathbb{R}^d$ with volume zero can be characterized in terms of the asymptotic behaviour of the boundary surface area of its parallel sets $A_r$ as the parallel…

度量几何 · 数学 2019-01-11 Steffen Winter

Motivated in part by the recent observation of liquid glass in suspensions of ellipsoidal colloids, we examine the structure of jammed ellipse packings over a much wider range of particle aspect ratios ($\alpha$) than has been previously…

软凝聚态物质 · 物理学 2023-06-01 Sebastian Rocks , Robert S. Hoy

Using 3D Vorono\text{\"i} analysis, we explore the local dynamics of small, settling, inertial particles in isotropic turbulence using Direct Numerical Simulations (DNS). We independently vary the Taylor Reynolds number $R_\lambda…

流体动力学 · 物理学 2020-03-25 Mohammadreza Momenifar , Andrew D. Bragg

A homogeneous Poisson-Voronoi tessellation of intensity $\gamma$ is observed in a convex body $W$. We associate to each cell of the tessellation two characteristic radii: the inradius, i.e. the radius of the largest ball centered at the…

概率论 · 数学 2013-04-02 Pierre Calka , Nicolas Chenavier