16 papers · ranked by Valyu relevance
Naomi Oppenheimer, David B. Stein, Matan Yah Ben Zion, Michael J. Shelley
'Michael J. Shelley'] Ensembles of particles rotating in a two-dimensional fluid can exhibit chaotic dynamics yet develop signatures of hidden order. Such rotors are found in the natural world spanning vastly disparate length scales - from the rotor proteins in cellular membranes to models of atmospheric dynamics. Here…
Michael A. Klatt, Jakov Lovrić, Duyu Chen, Sebastian C. Kapfer + 6 more
'Fabian M. Schaller' 'Philipp W. A. Schönhöfer' 'Bruce S. Gardiner' 'Ana-Sunčana Smith' 'Gerd E. Schröder-Turk' 'Salvatore Torquato'] Partitioning space into cells with certain extreme geometrical properties is a central problem in many fields of science and technology. Here we investigate the Quantizer problem…
Luca Maria Del Bono, Flavio Nicoletti, Federico Ricci-Tersenghi, Mattia Miotto
'Mattia Miotto'] How to distribute a set of points uniformly on a spherical surface is a longstanding problem that still lacks a definite answer. In this work, we introduce a physical measure of uniformity based on the distribution of distances between points, as an alternative to commonly adopted measures based on…
Indranil Mukherjee, P. K. Mohanty
We show that equilibrium systems in d dimension that obey the inequality dν > 2, known as Harris criterion, exhibit suppressed energy fluctuation in their critical state. Ashkin-Teller model is an example in d = 2 where the correlation length exponent ν varies continuously with the inter-spin interaction strength λ and…
Jiao Yang
We develop a first-principles theory for the vibrational density of states (VDOS) and thermal properties of network materials built on stationary correlated disordered point configurations. For scalar (mass–spring) models whose dynamical matrix is a distance-weighted graph Laplacian, we prove that the limiting spectral…
Yichen Lu, Tong Zhu, Yingshan Guo, Yunyun Li + 2 more
In the study of disordered hyperuniformity, which bridges ordered and disordered states and has broad implications in physics and biology, active matter systems offer a rich platform for spontaneous pattern formation. This work investigates frustrated Vicsek-Kuramoto systems, where frustration induces complex…
Erdal C. Oğuz, Joshua E. S. Socolar, Paul J. Steinhardt, Salvatore Torquato
'Salvatore Torquato'] This work examines the long-wavelength scaling properties of self-similar substitution tilings, placing them in their hyperuniformity classes. Quasiperiodic, non-PV (Pisot-Vijayaraghavan number) and limit-periodic examples are analyzed. Novel behavior is demonstrated for certain limit-periodic…
Fabio Frommer, Martin Hanke
We investigate statistical properties of certain stationary point processes, namely determinantal processes with projection kernels and Gibbs point processes with superstable pair interactions. These are examples of hyperuniform and non-hyperuniform stationary point processes, respectively. We are interested in the…
Frusawa, Hiroshi
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…
Saheli Mitra, Anshul D. S. Parmar, Premkumar Leishangthem, Srikanth Sastry + 1 more
'Srikanth Sastry' 'Giuseppe Foffi'] We present a numerical investigation of the density fluctuations in a model glass under cyclic shear deformation. At low amplitude of shear, below yielding, the system reaches a steady absorbing state in which density fluctuations are suppressed revealing a clear fingerprint of…
Zheng Ma, Salvatore Torquato
Disordered many-particle hyperuniform systems are exotic amorphous states of matter that lie between crystals and liquids. Hyperuniform systems have attracted recent attention because they are endowed with novel transport and optical properties. Recently, the hyperuniformity concept has been generalized to characterize…
Anže Božič, Simon Čopar
Understanding how particles are arranged on the surface of a sphere is not only central to numerous physical, biological, soft matter, and materials systems but also finds applications in computational problems, approximation theory, and analysis of geophysical and meteorological measurements. Objects that lie on a…
Pierre-Yves Gires, Mithun Thampi, Sebastian W. Krauss, Matthias Weiss
Self-organization of cells into higher-order structures is key for multicellular organisms, e.g. during embryonic epithelium formation via repetitive replication of template-like founder cells. Yet, very similar spatial arrangements of cell-like compartments (’protocells’) are also seen in cell extracts in the absence…
Authors not listed
Hyperstructures and their hierarchical extensions [1]—SuperHyperStructures—provide a versatile formalism for modeling multi-layered and complex phenomena [2, 3]. A MicroStructure is a measurable mapping that assigns to each material point a single local state, representing attributes such as phase, crystal orientation…
Ali Punjani, Haowei Zhang, David J. Fleet
Single particle cryo-EM is a powerful method for studying proteins and other biological macromolecules. Many of these molecules comprise regions with varying structural properties including disorder, flexibility, and partial occupancy. These traits make computational 3D reconstruction from 2D images challenging.…
Authors not listed
Hyperstructures and their hierarchical extensions—SuperHyperStructures—provide a versatile algebraic language for modeling multi-level and interdependent systems [1,2]. In materials and chemical sciences, structural descriptions naturally span a broad spectrum of characteristic length scales, commonly organized as…