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The paper presents a strategy to construct an incremental Singular Value Decomposition (SVD) for time-evolving, spatially 3D discrete data sets. A low memory access procedure for reducing and deploying the snapshot data is presented.…

Mathematical Software · Computer Science 2023-02-21 Niklas Kühl , Hendrik Fischer , Michael Hinze , Thomas Rung

We investigate the single-file dynamics of a tagged particle in a system consisting of N hardcore interacting particles (the particles cannot pass each other) which are diffusing in a one-dimensional system where the particles have…

Statistical Mechanics · Physics 2009-11-13 Tobias Ambjornsson , Ludvig Lizana , Michael A. Lomholt , Robert J. Silbey

X-ray crystallography (XC) is an experimental technique used to determine three-dimensional crystalline structures. The acquired data in XC, called diffraction patterns, is the Fourier magnitudes of the unknown crystalline structure. To…

Image and Video Processing · Electrical Eng. & Systems 2019-07-09 Samuel Pinilla , Jorge Bacca , Cesar Vargas , Juan Carlos Poveda-Jaramillo , Henry Arguello

Accurate computational ptychographic phase reconstructions are enabled by fast direct-electron cameras with high dynamic ranges used for four-dimensional scanning transmission electron microscopy (4D-STEM). The availability of open software…

Materials Science · Physics 2025-05-01 Toma Susi

We study property prediction for crystal materials. A crystal structure consists of a minimal unit cell that is repeated infinitely in 3D space. How to accurately represent such repetitive structures in machine learning models remains…

Chemical Physics · Physics 2023-11-08 Yuchao Lin , Keqiang Yan , Youzhi Luo , Yi Liu , Xiaoning Qian , Shuiwang Ji

We present MAPPDFpol1.0, a new determination of the helicity-dependent parton distribution functions (PDFs) of the proton from a set of longitudinally polarised inclusive and semi-inclusive deep-inelastic scattering data. The determination…

High Energy Physics - Phenomenology · Physics 2025-04-23 MAP , Collaboration , : , Valerio Bertone , Amedeo Chiefa , Emanuele R. Nocera

Single-file diffusion refers to the motion of diffusive particles in narrow channels, so that they cannot bypass each other. This constraint leads to the subdiffusion of a tagged particle, called the tracer. This anomalous behaviour results…

Statistical Mechanics · Physics 2023-05-01 Aurélien Grabsch , Pierre Rizkallah , Alexis Poncet , Pierre Illien , Olivier Bénichou

Detection of crystal structures from particle positions of crystalline assemblies formed in computer simulations is an unsolved problem. The standard protocol, formulated in the reciprocal space, for structure determination from…

Materials Science · Physics 2025-04-29 Sumitava Kundu , Kaustav Chakraborty , Avisek Das

Combining dispersion and operator product expansion techniques, we derive the conformal partial wave decomposition of the virtual Compton scattering amplitude in terms of complex conformal spin to twist-two accuracy. The perturbation theory…

High Energy Physics - Phenomenology · Physics 2008-11-26 K. Kumericki , D. Müller , K. Passek-Kumericki

Three-dimensional (3D) radiative hydrodynamic model atmospheres of metal-poor late-type stars are characterized by cooler upper photospheric layers than their 1D counterparts. This property of 3D models can dramatically affect elemental…

Solar and Stellar Astrophysics · Physics 2015-05-27 R. Collet , W. Hayek , M. Asplund , Å. Nordlund , R. Trampedach , B. Gudiksen

Removing various degradations from damaged documents greatly benefits digitization, downstream document analysis, and readability. Previous methods often treat each restoration task independently with dedicated models, leading to a…

Computer Vision and Pattern Recognition · Computer Science 2025-08-07 Fangmin Zhao , Weichao Zeng , Zhenhang Li , Dongbao Yang , Binbin Li , Xiaojun Bi , Yu Zhou

The 3D Discrete Fourier Transform (DFT) is a technique used to solve problems in disparate fields. Nowadays, the commonly adopted implementation of the 3D-DFT is derived from the Fast Fourier Transform (FFT) algorithm. However, evidence…

Computational Physics · Physics 2024-07-10 Nitin Malapally , Viacheslav Bolnykh , Estela Suarez , Paolo Carloni , Thomas Lippert , Davide Mandelli

Diffuse scattering is a rich source of information about disorder in crystalline materials, which can be modelled using atomistic techniques such as Monte Carlo and molecular dynamics simulations. Modern X-ray and neutron scattering…

Materials Science · Physics 2018-12-21 Joseph A. M. Paddison

We demonstrate spatial mapping of the local and nano-scale structure of thin film objects using spatially resolved PDF analysis of synchrotron x-ray diffraction data. This is demonstrated in a lab-on-chip combinatorial array of sample spots…

Single-crystal X-ray diffraction (SC-XRD) is the gold standard technique to characterize crystal structures in solid state. Despite significant advances in automation for structure solution, the refinement stage still depends heavily on…

Materials Science · Physics 2025-12-04 Wen-Lin Luo , Yi Yuan , Cheng-Hui Li , Yue Zhao , Jing-Lin Zuo

We present a comprehensive method for determining {both exact and approximate} dispersion {relations} for one-dimensional {resonant phononic} crystals, applicable to a wide range of structures, regardless of their specific characteristics.…

Applied Physics · Physics 2026-01-21 Mario Lázaro , Richard Wiltshaw , Richard V. Craster , Vicent Romero-García

Finding an optimal match between two different crystal structures underpins many important materials science problems, including describing solid-solid phase transitions, developing models for interface and grain boundary structures. In…

Materials Science · Physics 2020-02-21 Félix Therrien , Peter Graf , Vladan Stevanović

We describe the quantitative refinement of nanoparticle structures from gold nanoparticles probed by ultrafast electron crystallography (UEC). We establish the equivalence between the modified radial distribution function employed in UEC…

Materials Science · Physics 2011-04-06 Christopher L. Farrow , Chong-Yu Ruan , Simon J. L. Billinge

We present a simplified model for dynamical diffraction of particles through a periodic thick perfect crystal based on repeated application of a coherent beam splitting unitary at coarse-grained lattice sites. By demanding translational…

Quantum Physics · Physics 2016-12-14 J. Nsofini , K. Ghofrani , D. Sarenac , D. G. Cory , D. A. Pushin

We study differentially-private statistics in the fully dynamic continual observation model, where many updates can arrive at each time step and updates to a stream can involve both insertions and deletions of an item. Earlier work (e.g.,…

Cryptography and Security · Computer Science 2026-01-06 Joel Daniel Andersson , Palak Jain , Satchit Sivakumar
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