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A new method to investigate anomalous diffusion in human brain is proposed. The method has been inspired by both the stretched-exponential model proposed by Hall and Barrick (HB) and DTI. Quantities extracted using HB method were able to…

Medical Physics · Physics 2010-04-13 S. De Santis , A. Gabrielli , M. Bozzali , B. Maraviglia , E. Macaluso , S. Capuani

Anisotropy in granular materials arises from both the internal fabric and the directionality of the stress state, yet separating these effects experimentally remains challenging. This study develops a first-order linearisation of the…

Soft Condensed Matter · Physics 2026-04-09 Mehdi Pouragha , Gertraud Medicus , Selvarajah Premnath , Siva Sivathayalan

The Monte Carlo method in the canonical ensemble is used to investigate magnetization reversal in amorphous transition metal - rare earth multilayers. Our study is based on a model containing diluted clusters which exhibit an effective…

Materials Science · Physics 2009-12-01 Etienne Talbot , Denis Ledue , Pierre Emmanuel Berche

We confirm for the first time the existence of distinctive halo bias associated with the quadrupolar type of statistical anisotropy (SA) of the linear matter density field using cosmological $N$-body simulations. We find that the…

Cosmology and Nongalactic Astrophysics · Physics 2025-05-19 Shogo Masaki , Maresuke Shiraishi , Takahiro Nishimichi , Teppei Okumura , Shuichiro Yokoyama

We develop a powerful yet simple method that generates multifractal fields with fully controlled scaling properties. Adopting the Multifractal Random Walk (MRW) model of Bacry et al. (2001), synthetic multifractal fields are obtained from…

Statistical Mechanics · Physics 2026-02-10 Samy Lakhal , Laurent Ponson , Michael Benzaquen , Jean-Philippe Bouchaud

An inverse scattering problem is formulated for reconstructing optical properties of biological tissues. A recursive linearization algorithm is used to solve the inverse scattering problem. We employed the idea of finite element boundary…

Numerical Analysis · Mathematics 2014-04-30 Ying Li

This is the second paper in a series on light scattering from optically anisotropic scatterers embedded in an isotropic medium. The apparently complex T-matrix theory involving mixing of angular momentum components turns out to be an…

Optics · Physics 2007-05-23 A. D. Kiselev , V. Yu. Reshetnyak , T. J. Sluckin

We present the quantitative investigation of the submicron structure in the bulk of porous graphite by using the scattering signal in the multi-modal X-ray imaging with Hartmann masks. By scanning the correlation length and measuring the…

Applied Physics · Physics 2021-10-15 M. Zakharova , A. Mikhaylov , S. Reich , A. Plech , D. Kunka

In this paper, we employ asymptotic analysis to determine information about small volume defects in a known anisotropic scattering medium from far field scattering data. The location of the defects is reconstructed via the MUSIC algorithm…

Analysis of PDEs · Mathematics 2017-02-21 Fioralba Cakoni , Isaac Harris , Shari Moskow

Increasing the light scattering efficiency of nanostructured materials is becoming an active field of research both in fundamental science and commercial applications. In this context, the challenge is to use inexpensive organic materials…

We calculate the light transmission by a subwavelength plasmonic array using the boundary element method for parallel cylinders with different cross-sections: circular or elliptic with axes ratio 4:1. We demonstrate that the plasmonic…

Optics · Physics 2022-12-13 Anton Nemykin , Leonid Frumin , David Shapiro

We demonstrate dark-field x-ray microtomography in a compact, laboratory-based system capable of resolving attenuation, phase, and anisotropic scattering signals with micrometer-scale resolution across centimetre-scale samples. The method…

We investigate the eigenstructure of matrix formulations used for modeling scattering processes within materials in transmission electron microscopy. Dynamical scattering is crucial for describing the interaction between an electron wave…

Materials Science · Physics 2025-12-12 Arya Bangun , Oleh Melnyk , Benjamin März

We apply our symmetry based Power tensor technique to test conformity of PLANCK Polarization maps with statistical isotropy. On a wide range of angular scales (l=40-150), our preliminary analysis detects many statistically anisotropic…

Cosmology and Nongalactic Astrophysics · Physics 2020-02-27 Pranati K. Rath , Pramoda Kr. Samal , Srikanta Panda , Debesh D. Mishra , Pavan K. Aluri

The presence of a dipolar statistical anisotropy in the spectrum of cosmic microwave background (CMB) fluctuations was reported by the Wilkinson Microwave Anisotropy Probe (WMAP), and has recently been confirmed in the Planck 2013 analysis…

Cosmology and Nongalactic Astrophysics · Physics 2014-04-29 Sugumi Kanno , Misao Sasaki , Takahiro Tanaka

The anisotropy parameter of two-dimensional equilibrium clusters of site percolation process in long-range self-affine correlated structures are studied numerically. We use a fractional Brownian Motion(FBM) statistic to produce both…

Statistical Mechanics · Physics 2008-09-01 Fatemeh Ebrahimi

We calculate the magnetic SANS cross section of dilute ensembles of uniformly magnetized and randomly-oriented Stoner-Wohlfarth particles using the Landau-Lifshitz equation. The focus of our study is on the angular anisotropy of the…

Materials Science · Physics 2022-10-18 Michael P. Adams , Evelyn Pratami-Sinaga , Andreas Michels

A misalignment of anisotropic crystallites causes small values of anisotropy and decreases the critical current density of textured polycrystalline superconductors. To relate the crystallite misalignment and out-plane anisotropy, the…

Superconductivity · Physics 2023-07-10 D. M. Gokhfeld , S. V. Semenov , M. I. Petrov , I. V. Nemtsev , D. A. Balaev

We investigate the statistical anisotropy and Gaussianity of temperature fluctuations of Cosmic Microwave Background radiation (CMB) data from {\it Wilkinson Microwave Anisotropy Probe} survey, using the multifractal detrended fluctuation…

Astrophysics · Physics 2011-08-04 M. Sadegh Movahed , F. Ghasemi , Sohrab Rahvar , M. Reza Rahimi Tabar

Characterizing structural inhomogeneity is an essential step in understanding the mechanical response of amorphous materials. We introduce a threshold-free measure based on the field of vectors pointing from the center of each particle to…

Soft Condensed Matter · Physics 2016-03-02 Jennifer M. Rieser , Carl P. Goodrich , Andrea J. Liu , Douglas J. Durian
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