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Principal component analysis is a versatile tool to reduce dimensionality which has wide applications in statistics and machine learning. It is particularly useful for modeling data in high-dimensional scenarios where the number of…

Methodology · Statistics 2022-08-18 Xiaoyu Hu , Fang Yao

The space- and time-dependent response of many-body quantum systems is the most informative aspect of their emergent behaviour. The dynamical structure factor, experimentally measurable using neutron scattering, can map this response in…

Strongly Correlated Electrons · Physics 2013-09-27 B. Lake , D. A. Tennant , J. -S. Caux , T. Barthel , U. Schollwöck , S. E. Nagler , C. D. Frost

As a simple cubic system with only one f electron per cerium ion, CeB6 is of model character to investigate the interplay of orbital phenomena with magnetism. It is also a textbook example of a compound that exhibits magnetically hidden…

Strongly Correlated Electrons · Physics 2021-08-13 P. Y. Portnichenko , A. S. Cameron , D. S. Inosov

Quite a few low-dimensional magnets are quantum-disordered ``spin liquids'' with a characteristic gap in the magnetic excitation spectrum. Among these are antiferromagnetic chains of integer quantum spins. Their generic feature are…

Strongly Correlated Electrons · Physics 2009-11-11 A. Zheludev

Dimension reduction techniques for multivariate time series decompose the observed series into a few useful independent/orthogonal univariate components. We develop a spectral domain method for multivariate second-order stationary time…

Methodology · Statistics 2020-10-12 Raanju R. Sundararajan

The three-dimensional structure of nucleons (protons and neutrons) is embedded in so-called generalized parton distributions, which are accessible from deeply virtual Compton scattering. In this process, a high energy electron is scattered…

We review recent developments in the theoretical investigation of the nucleon polarizabilities. We first report on the static polarizabilities as measured in real Compton scattering, comparing and interpreting the results from various…

High Energy Physics - Phenomenology · Physics 2012-01-17 B. Pasquini , D. Drechsel , M. Vanderhaeghen

The collective modes observed in the loop-current ordered state in under-doped cuprates by polarized neutron scattering require that the ground state is a linear combination in each unit-cell of the four basis states which are the possible…

Strongly Correlated Electrons · Physics 2015-06-04 Yan He , C. M. Varma

The results of computer simulation of particle motion over the plane with randomly distributed scatters are presented. They are used to analyse the influence of scattering anisotropy on the negative magnetoresistance due to weak…

Condensed Matter · Physics 2007-05-23 A. V. Germanenko , V. A. Larionova , G. M. Minkov , S. A. Negashev

A unique feature of generalised parton distributions is their relation to the QCD energy-momentum tensor. In particular, they provide access to the mechanical properties of the proton i.e. the distributions of pressure and shear stress…

High Energy Physics - Phenomenology · Physics 2021-04-28 H. Dutrieux , C. Lorcé , H. Moutarde , P. Sznajder , A. Trawiński , J. Wagner

In this work we present the development of small angle scattering components in McStas that describe the neutron interaction with 70 different form and structure factors. We describe the considerations taken into account for the generation…

Instrumentation and Detectors · Physics 2025-01-13 Jose Robledo , Klaus Lieutenant , Peter Willendrup

The recent development of a micromagnetic simulation methodology - suitable for multiphase magnetic nanocomposites - permits the computation of the magnetic microstructure and of the associated magnetic small-angle neutron scattering (SANS)…

Mesoscale and Nanoscale Physics · Physics 2012-07-11 Andreas Michels , Sergey Erokhin , Dmitry Berkov , Nataliya Gorn

The Principal Component Analysis (PCA) is a data dimensionality reduction technique well-suited for processing data from sensor networks. It can be applied to tasks like compression, event detection, and event recognition. This technique is…

Networking and Internet Architecture · Computer Science 2010-03-13 Yann-Aël Le Borgne , Sylvain Raybaud , Gianluca Bontempi

Scattering methods are widely used in many research areas to analyze and resolve material structures. Given the importance, a large number of full textbooks are devoted to this topic. However, technical details in experiments and…

Soft Condensed Matter · Physics 2021-04-02 Dingning Li , Kai Zhang

We study the scattering of neutrinos on polarized and unpolarized free nucleons, and also the polarization of recoil particles in these scatters. In contrast to electromagnetic processes, the parity-violating weak interaction gives rise to…

High Energy Physics - Phenomenology · Physics 2021-01-20 Oleksandr Tomalak

In recent years, real and virtual Compton scattering off the nucleon have attracted considerable interest from both the experimental and theoretical sides. Real Compton scattering gives access to the so-called electromagnetic…

Nuclear Theory · Physics 2009-11-10 Stefan Scherer

The general structure of the cross section of $\gamma N$ scattering with polarized photon and/or nucleon in initial and/or final state is systematically described and exposed through invariant amplitudes. A low-energy expansion of the cross…

High Energy Physics - Phenomenology · Physics 2009-09-25 D. Babusci , G. Giordano , A. I. L'vov , G. Matone , A. M. Nathan

Principal component analysis is a powerful statistical system to investigate the structure and dynamics of the molecular interstellar medium, with particular emphasis on the study of turbulence, as revealed by spectroscopic imaging of…

Astrophysics of Galaxies · Physics 2015-06-16 C. M. Brunt , M. H. Heyer

Electron scattering is an effective method to study the nuclear structure. For the odd-$A$ nuclei with proton holes in the outmost orbits, we investigate the contributions of proton holes to the nuclear quadrupole moments $Q$ and magnetic…

Nuclear Theory · Physics 2016-03-23 Jian Liu , Xin Zhang , Chang Xu , Zhongzhou Ren

Molecular Nanomagnets have attracted the attention of the scientific community since the rich physics behind their magnetic behaviour make them ideal test-beds for fundamental concepts in quantum mechanics. Sophisticated experiments and…

Mesoscale and Nanoscale Physics · Physics 2021-01-19 Elena Garlatti , Alessandro Chiesa , Tatiana Guidi , Giuseppe Amoretti , Paolo Santini , Stefano Carretta