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We study the relationship between the quantities that encode the insulating properties of matter: the ground-state quantum metric, the average localization length, and the electric susceptibility. By examining the one-dimensional Anderson…

Mesoscale and Nanoscale Physics · Physics 2025-08-22 Ilia Komissarov , Tobias Holder , Raquel Queiroz

We have derived a semiclassical trace formula for the level density of the three-dimensional spheroidal cavity. To overcome the divergences occurring at bifurcations and in the spherical limit, the trace integrals over the action-angle…

Exactly Solvable and Integrable Systems · Physics 2008-12-18 A. G. Magner , S. N. Fedotkin , K. Arita , K. Matsuyanagi , M. Brack

Stealthy hyperuniform heterostructures are a novel type of metamaterial with the potential for optical image processing at angles away from normal incidence. These metamaterials show analogous properties to photonic crystals while…

We computationally study jammed disordered hard-sphere packings as large as a million particles. We show that the packings are saturated and hyperuniform, i.e., that local density fluctuations grow only as a logarithmically-augmented…

Statistical Mechanics · Physics 2009-11-11 A. Donev , F. H. Stillinger , S. Torquato

When using a formulation of Smooth Particle Hydrodynamics (SPH) which conserves momentum exactly the motion of the particles is observed to be unstable to negative stress. It is also found that under normal circumstances a lattice of SPH…

Astrophysics · Physics 2007-05-23 Joseph Peter Morris

The phase behavior of helical packings of thermoresponsive microspheres inside glass capillaries is studied as a function of volume fraction. Stable packings with long-range orientational order appear to evolve abruptly to disordered states…

Soft Condensed Matter · Physics 2010-04-14 Matthew A. Lohr , Ahmed M. Alsayed , Bryan G. Chen , Zexin Zhang , Randall D. Kamien , Arjun G. Yodh

When are athermal soft sphere packings jammed ? Any experimentally relevant definition must at the very least require a jammed packing to resist shear. We demonstrate that widely used (numerical) protocols in which particles are compressed…

Soft Condensed Matter · Physics 2013-02-06 S. Dagois-Bohy , B. P. Tighe , J. Simon , S. Henkes , M. van Hecke

Disordered hyperuniform structures are an exotic state of matter having vanishing long-wavelength density fluctuations similar to perfect crystals but without long-range order. Although its importance in materials science has been brought…

Soft Condensed Matter · Physics 2019-01-29 Qun-li Lei , Massimo Pica Ciamarra , Ran Ni

The LHC has strongly constrained models of supersymmetry with traditional missing energy signatures. We present a variety of models that realize the concept of Stealth Supersymmetry, i.e. models with R-parity in which one or more…

High Energy Physics - Phenomenology · Physics 2015-06-03 JiJi Fan , Matthew Reece , Joshua T. Ruderman

A two-dimensional bidisperse granular fluid is shown to exhibit pronounced long-ranged dynamical heterogeneities as dynamical arrest is approached. Here we focus on the most direct approach to study these heterogeneities: we identify…

Disordered Systems and Neural Networks · Physics 2017-10-27 Karina E. Avila , Horacio E. Castillo , Katharina Vollmayr-Lee , Annette Zippelius

Sparticle mass hierarchies contain significant information regarding the origin and nature of supersymmetry breaking. The hierarchical patterns are severely constrained by electroweak symmetry breaking as well as by the astrophysical and…

High Energy Physics - Phenomenology · Physics 2015-02-04 David Francescone , Sujeet Akula , Baris Altunkaynak , Pran Nath

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,…

Statistical Mechanics · Physics 2025-01-14 Hiroshi Frusawa

Using a collective coordinate numerical optimization procedure, we construct ground-state configurations of interacting particle systems in various space dimensions so that the scattering of radiation exactly matches a prescribed pattern…

Statistical Mechanics · Physics 2009-11-13 Robert D. Batten , Frank H. Stillinger , Salvatore Torquato

Spatially ordered systems confined to surfaces such as spheres exhibit interesting topological structures because of curvature induced frustration in orientational as well as translational order. The study of these structures is important…

Soft Condensed Matter · Physics 2022-06-24 Dharanish Rajendra , Jaydeep Mandal , Yashodhan Hatwalne , Prabal K. Maiti

Systems of soft-core particles interacting via a two-scale potential are studied. The potential is responsible for peaks in the structure factor of the liquid state at two different but comparable length scales, and a similar bimodal…

Soft Condensed Matter · Physics 2015-12-03 A. J. Archer , A. M. Rucklidge , E. Knobloch

Using molecular dynamics simulations we investigate the structure of a system of particles interacting through a continuous core-softened interparticle potential. We found for the translational order parameter, t, a local maximum at a…

Soft Condensed Matter · Physics 2007-11-28 Alan B. de Oliveira , Paulo A. Netz , Thiago Colla , Marcia C. Barbosa

Material electromagnetic duality symmetry requires a system to have equal electric and magnetic responses. Electromagnetic duality enables technologically important effects like artificial optical activity and zero back-scattering, is a…

Hyperuniform states are an efficient way to fill up space for disordered systems. In these states the particle distribution is disordered at the short scale but becomes increasingly uniform when looked at large scales. Hyperuniformity…

Statistical Mechanics · Physics 2019-09-11 Gustavo Castillo , Nicolas Mujica , Nestor Sepulveda , Juan Carlos Sobarzo , Marcelo Guzman , Rodrigo Soto

The problem of finding the asymptotic behavior of the maximal density of sphere packings in high Euclidean dimensions is one of the most fascinating and challenging problems in discrete geometry. One century ago, Minkowski obtained a…

Statistical Mechanics · Physics 2009-11-13 A. Scardicchio , F. H. Stillinger , S. Torquato

A characteristic property of many soft matter systems is an ultrasoft effective interaction between their structural units. This softness often leads to complex behavior. In particular, ultrasoft systems under pressure demonstrate…

Soft Condensed Matter · Physics 2019-09-19 V. A. Levashov , R. E. Ryltsev , N. M. Chtchelkatchev
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