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Many tools and techniques measure local structure in materials in contexts ranging from biology to geology. We provide a survey of those tools and metrics that are especially useful for analyzing particulate soft matter. The metrics we…

Soft Condensed Matter · Physics 2026-01-13 Rachael S. Skye , Erin G. Teich

We propose wideband bandpass filters based on multipole resonances of spoof localized surface plasmons (SLSPs). The resonance characteristics and geometric tunability of SLSPs are investigated under microstrip excitations. Strong coupling…

Applied Physics · Physics 2020-04-15 Xuanru Zhang , Di Bao , Jun Feng Liu , Tie Jun Cui

We construct spherical wavelets based on approximate identities that are directional, i.e. not rotation-invariant, and have an adaptive angular selectivity. The problem of how to find a proper representation of distinct kinds of details of…

Classical Analysis and ODEs · Mathematics 2018-04-10 Ilona Iglewska-Nowak

The recently developed localized orbital scaling correction (LOSC) method shows the ability to systematically and size-consistently reduce the delocalization error existing in conventional density functional approximations (DFAs). Applying…

Chemical Physics · Physics 2020-10-19 Yuncai Mei , Zehua Chen , Weitao Yang

Since the seminal work of Marzari and Vanderbilt, maximally localized Wannier functions have become widely used as a real-space representation of the electronic structure of periodic materials. In this paper we introduce selectively…

Strongly Correlated Electrons · Physics 2016-04-08 Runzhi Wang , Emanuel A. Lazar , Hyowon Park , Andrew J. Millis , Chris A. Marianetti

This paper introduces a contribution made to one of the newest methods for simulating indirect lighting in dynamic scenes , the cascaded light propagation volumes . Our contribution consists on using Spherical Radial Basis Functions instead…

Computer Vision and Pattern Recognition · Computer Science 2024-07-25 Ludovic Silvestre , João Pereira

Many searches for continuous gravitational waves face significant computational challenges due to the need to explore large parameter spaces characterized by unknown parameters. Parameter-space metrics are used to predict the relative loss…

General Relativity and Quantum Cosmology · Physics 2026-05-18 P. B. Covas , R. Prix

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.…

Soft Condensed Matter · Physics 2016-05-05 Yoav Kallus

We propose a convex variational approach to compute localized density matrices for both zero temperature and finite temperature cases, by adding an entry-wise $\ell_1$ regularization to the free energy of the quantum system. Based on the…

Numerical Analysis · Mathematics 2016-05-04 Rongjie Lai , Jianfeng Lu

We introduce a general first-principles methodology for computing electronic structure in a finite uniform magnetic field which allows for an arbitrary rational magnetic flux and nonlocal pseudopotentials, at a comparable time complexity of…

Materials Science · Physics 2025-10-07 Chengye Lü , Yingwei Chen , Yuzhi Wang , Zhihao Dai , Zhong Fang , Xin-Gao Gong , Quansheng Wu , Hongjun Xiang

A set of bi-orthogonal potential-density basis functions is introduced to model the density and its associated gravitational field of three dimensional stellar systems. Radial components of our basis functions are weighted integral forms of…

Astrophysics · Physics 2009-11-13 Alireza Rahmati , Mir Abbas Jalali

The perfectly matched layers (PMLs), as a boundary termination over an unbounded spatial domain, are widely used in numerical simulations of wave propagation problems. Given a set of discretization parameters, a procedure to select the PML…

Numerical Analysis · Mathematics 2007-11-22 Jiawei Zhang

Kernel density estimators with circular data have been studied extensively for decades, as they allow flexible estimations even when the shape of the underlying density is complex. Many recent studies have examined bias correction methods;…

Methodology · Statistics 2026-03-03 Yasuhito Tsuruta

We address the question of designing isotropic analysis functions on the sphere which are perfectly limited in the spectral domain and optimally localized in the spatial domain. This work is motivated by the need of localized analysis tools…

Numerical Analysis · Mathematics 2007-06-19 Frédéric Guilloux , Gilles Fay , Jean-François Cardoso

In this paper we use a unidirectional decomposition capable of furnishing localized wave pulses, with luminal and superluminal peak velocities, in exact form and totally free of backward components, which have been a chronic problem for…

Optics · Physics 2009-11-13 Michel Zamboni-Rached

First-principles density functional theory (DFT) with plane wave (PW) basis set is the most widely used method in quantum mechanical material simulations due to its advantages in accuracy and universality. However, a perceived drawback of…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-04-08 Qingcai Jiang , Zhenwei Cao , Junshi Chen , Xinming Qin , Wei Hu , Hong An , Jinlong Yang

Machine learning frameworks based on correlations of interatomic positions begin with a discretized description of the density of other atoms in the neighbourhood of each atom in the system. Symmetry considerations support the use of…

Chemical Physics · Physics 2023-05-25 Filippo Bigi , Kevin Huguenin-Dumittan , Michele Ceriotti , David E. Manolopoulos

We study the vibrational spectra of one-dimensional statically compressed granular crystals (arrays of elastic particles in contact) containing defects. We focus on the prototypical settings of one or two spherical defects (particles of…

Other Condensed Matter · Physics 2011-03-15 N. Boechler , G. Theocharis , Y. Man , P. G. Kevrekidis , C. Daraio

We present a computational approach which is tailored for reducing the complexity of the description of extended systems at the density functional theory level. We define a recipe for generating a set of localized basis functions which are…

Materials Science · Physics 2019-04-16 Laura E. Ratcliff , Luigi Genovese

We present an accurate and efficient framework for real-space Hubbard-corrected density functional theory. In particular, we obtain expressions for the energy, atomic forces, and stress tensor suitable for real-space finite-difference…

Computational Physics · Physics 2025-10-20 Sayan Bhowmik , Andrew J. Medford , Phanish Suryanarayana
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