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We introduce a deep learning approach for analyzing the scattering function of the polydisperse hard spheres system. We use a variational autoencoder-based neural network to learn the bidirectional mapping between the scattering function…

Soft Condensed Matter · Physics 2025-08-18 Lijie Ding , Changwoo Do

The pair-angle distribution function (PADF) is a three- and four-atom correlation function that can characterise the local angular structure of disordered materials, particles or nanocrystalline materials. The PADF can be measured by x-ray…

Disordered Systems and Neural Networks · Physics 2023-09-04 Andrew V. Martin , Patrick Adams , Jack Binns

We present a closed analytical formula for the scattering intensity from charged hard sphere fluids with any arbitrary number of components. Our result is an extension to ionic systems of Vrij's analogous expression for uncharged hard…

Statistical Mechanics · Physics 2009-10-30 Domenico Gazzillo , Achille Giacometti , Flavio Carsughi

Small-Angle Scattering (SAS) investigates structures in samples that generally range from approximately 0.5 nm to a few 100 nm. This can both be done for isotropic samples such as blends and liquids, as well as anisotropic samples such as…

Instrumentation and Detectors · Physics 2023-09-22 Sebastian Jaksch

The diffraction spectrum of coherent waves scattered from fractal supports is calculated exactly. The fractals considered are of the class generated iteratively by successive dilations and translations, and include generalizations of the…

Condensed Matter · Physics 2009-10-28 Daniel A. Hamburger-Lidar

Computational tools for normal mode analysis, which are widely used in physics and materials science problems, are designed here in a single package called NMscatt (Normal Modes & scattering) that allows arbitrarily large systems to be…

Computational Physics · Physics 2009-11-13 Franci Merzel , Fabien Fontaine-Vive , Mark R. Johnson

Fractal aggregates are built on a computer using off-lattice cluster-cluster aggregation models. The aggregates are made of spherical particles of different sizes distributed according to a Gaussian-like distribution characterised by a mean…

Condensed Matter · Physics 2015-06-25 Anwar Hasmy , René Vacher , Rémi Jullien

We consider a fractal with a variable fractal dimension, which is a generalization of the well known triadic Cantor set. In contrast with the usual Cantor set, the fractal dimension is controlled using a scaling factor, and can vary from…

Statistical Mechanics · Physics 2010-07-02 A. Yu. Cherny , E. M. Anitas , A. I. Kuklin , M. Balasoiu , V. A. Osipov

Small-angle X-ray and neutron scattering experiments are used in many fields of the life sciences and condensed matter research to obtain answers to questions about the shape and size of nano-sized structures, typically in the range of 1 to…

Data Analysis, Statistics and Probability · Physics 2015-06-10 Ingo Breßler , Joachim Kohlbrecher , Andreas F. Thünemann

Small angle neutron and x-ray scattering methods are used to investigate the structure of dilute suspensions of two different ferrofluid systems dispersed in soft polyacrylamide hydrogels. It is found that the particles in the fluid are…

Small-angle scattering (SAS) techniques, which utilize neutrons and X-rays, are employed in various scientific fields, including materials science, biochemistry, and polymer physics. During the analysis of SAS data, model parameters that…

We present a deep learning framework for modeling and analyzing the small-angle scattering data of polydisperse hard-rod systems, a widely used models for anisotropic colloidal particles. We use a variational autoencoder-based neural…

Soft Condensed Matter · Physics 2026-01-29 Lijie Ding , Changwoo Do

The scattering of a weakly bound (halo) projectile nucleus by a heavy target nucleus is investigated. A new approach, called the Uncorrelated Scattering Approximation, is proposed. The main approximation involved is to neglect the…

Nuclear Theory · Physics 2009-11-07 A. M. Moro , J. A. Caballero , J. Gómez-Camacho

Small-angle neutron scattering (SANS) is a powerful technique for probing the nanoscale structure of materials. However, the fundamental limitations of neutron flux pose significant challenges for rapid, high-fidelity data acquisition…

This work studies an integrated sensing and communication (ISAC) framework for targets that are spread both in the angle and range domains. We model each target using a cluster of rays parameterized by a specific density function, and…

Signal Processing · Electrical Eng. & Systems 2025-10-15 Muhammad Talha , Besma Smida , David González G

We argue that a finite iteration of any surface fractal can be composed of mass-fractal iterations of the same fractal dimension. Within this assertion, the scattering amplitude of surface fractal is shown to be a sum of the amplitudes of…

Statistical Mechanics · Physics 2017-06-05 A. Yu. Cherny , E. M. Anitas , V. A. Osipov , A. I. Kuklin

We present a generalized method to describe the x-ray scattering intensity of the Bragg spots in a diffraction pattern from nanocrystals exposed to intense x-ray pulses. Our method involves the subdivision of a crystal into smaller units.…

Atomic and Molecular Clusters · Physics 2017-08-24 Malik Muhammad Abdullah , Zoltan Jurek , Sang-Kil Son , Robin Santra

We propose a versatile software package in the form of a Python extension, named CDEF (Computing Debye's scattering formula for Extraordinary Formfactors), to approximately calculate scattering profiles of arbitrarily shaped nanoparticles…

Mesoscale and Nanoscale Physics · Physics 2022-05-13 Jérôme Deumer , Brian R. Pauw , Sylvie Marguet , Dieter Skroblin , Olivier Taché , Michael Krumrey , Christian Gollwitzer

Magnetic diffuse scattering -- the broad magnetic scattering features observed in neutron-diffraction data above a material's magnetic ordering temperature -- provides a rich source of information about the material's magnetic Hamiltonian.…

Strongly Correlated Electrons · Physics 2022-10-18 Joseph A. M. Paddison

A numerical simulation of silica aerogels is performed using diffusion-limited cluster-cluster aggregation of spheres inside a cubic box (with periodic boundary conditions). The volume fraction $c$ is taken to be sufficiently large to get a…

Condensed Matter · Physics 2009-10-28 Anwar Hasmy , Marie Foret , Eric Anglaret , Jacques Pelous , René Vacher , Rémi Jullien
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