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Small-angle scattering (SAS) intensities observed experimentally are often characterized by the presence of successive power-law regimes with various scattering exponents whose values vary from -4 to -1. This usually indicates multiple…

统计力学 · 物理学 2014-01-31 A. Yu. Cherny , E. M. Anitas , V. A. Osipov , A. I. Kuklin

A number of experimental small-angle scattering (SAS) data are characterized by a succession of power-law decays with arbitrarily decreasing values of scattering exponents. To describe such data, here we develop a new theoretical model…

统计力学 · 物理学 2014-07-08 Eugen M. Anitas

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…

统计力学 · 物理学 2017-06-05 A. Yu. Cherny , E. M. Anitas , V. A. Osipov , A. I. Kuklin

Small-angle scattering (SAS) of X-rays, neutrons or light from ensembles of randomly oriented and placed deterministic fractal structures are studied theoretically. In the standard analysis, a very few parameters can be determined from SAS…

软凝聚态物质 · 物理学 2019-07-24 A. Yu. Cherny , E. M. Anitas , V. A. Osipov , A. I. Kuklin

The small-angle scattering (SAS) from the Cantor surface fractal on the plane and Koch snowflake is considered. We develop the construction algorithm for the Koch snowflake, which makes possible the recurrence relation for the scattering…

统计力学 · 物理学 2017-03-10 A. Yu. Cherny , E. M. Anitas , V. A. Osipov , A. I. Kuklin

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…

仪器与探测器 · 物理学 2023-09-22 Sebastian Jaksch

Small-angle scattering (SAS) is a key experimental technique for analyzing nano-scale structures in various materials.In SAS data analysis, selecting an appropriate mathematical model for the scattering intensity is critical, as it…

数据分析、统计与概率 · 物理学 2024-01-22 Yui Hayashi , Shun Katakami , Shigeo Kuwamoto , Kenji Nagata , Masaichiro Mizumaki , Masato Okada

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…

统计力学 · 物理学 2010-07-02 A. Yu. Cherny , E. M. Anitas , A. I. Kuklin , M. Balasoiu , V. A. Osipov

The small-angle scattering curves of deterministic mass fractals are studied and analyzed in the momentum space. In the fractal region, the curve I(q)q^D is found to be log-periodic with a good accuracy, and the period is equal to the…

统计力学 · 物理学 2011-09-14 A. Yu. Cherny , E. M. Anitas , V. A. Osipov , A. I. Kuklin

Hard sphere suspensions are well recognized model systems of statistical physics and soft condensed matter. We here investigate the temporal evolution of the immediate environment of nucleating and growing crystals and/or their global scale…

软凝聚态物质 · 物理学 2015-09-02 Richard Beyer , Markus Franke , Hans Joachim Schöpe , Eckhard Bartsch , Thomas Palberg

We consider scattering exponents arising in small-angle scattering from power-law polydisperse surface and mass fractals. It is shown that a set of fractals, whose sizes are distributed according to a power-law, can change its fractal…

材料科学 · 物理学 2022-08-31 Alexander Yu. Cherny , Eugen M. Anitas , Vladimir A. Osipov , Alexander I. Kuklin

In the single-scattering theory of electromagnetic radiation, the {\it fractal regime} is a definite range in the photon momentum-transfer $q$, which is characterized by the scaling-law behavior of the structure factor: $S(q) \propto…

软凝聚态物质 · 物理学 2019-03-20 Nisha Katyal , Robert Botet , Sanjay Puri

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…

凝聚态物理 · 物理学 2015-06-25 Anwar Hasmy , René Vacher , Rémi Jullien

Here we propose to exploit the low energy bandwidth, small wavelength and penetration power of ultrashort pulses from XFELs for resonant Small Angle Scattering (SAXS) on plasma structures in laser excited plasmas. Small angle scattering…

等离子体物理 · 物理学 2016-03-09 Thomas Kluge , M. Bussmann , H. -K. Chung , C. Gutt , L. G. Huang , M. Zacharias , U. Schramm , T. E. Cowan

We present a computational study of small-angle X-ray scattering (SAXS) in amorphous silicon ($a$-Si) with particular emphasis on the morphology and microstructure of voids. The relationship between the scattering intensity in SAXS and the…

无序系统与神经网络 · 物理学 2018-05-23 Durga Paudel , Raymond Atta-Fynn , David A. Drabold , Stephen R. Elliott , Parthapratim Biswas

Colliding high energy hadrons either produce new particles or scatter elastically with their quantum numbers conserved and no other particles produced. We consider the latter case here. Although inelastic processes dominate at high…

高能物理 - 唯象学 · 物理学 2015-06-05 I. M. Dremin

For obtaining reliable nanostructural details of large amounts of sample --- and if it is applicable --- Small-Angle Scattering (SAS) is a prime technique to use. It promises to obtain bulk-scale, statistically sound information on the…

材料科学 · 物理学 2013-09-02 Brian Richard Pauw

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 investigate anomalous large-angle scattering (ALAS) of $\alpha$-particles from $N=Z$ nuclei within the framework of the single-folding model. Differential cross sections are calculated by folding the $\alpha$-nucleon interaction with…

核理论 · 物理学 2026-05-14 A. -G. Serban , F. Salvat-Pujol , N. Sandulescu , P. Marević

Recent first-principles electron-phonon scattering calculations of heavily-doped semiconductors suggest that a simple DOS scattering model, wherein the electronic scattering rates are assumed to be proportional to the density-of-states,…

材料科学 · 物理学 2020-02-26 Cameron Rudderham , Jesse Maassen
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