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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…

The time evolution and spatial correlations of nonaffine displacements in deformed amorphous solids are investigated using molecular dynamics simulations. The three-dimensional model glass is represented via the binary mixture, which is…

Soft Condensed Matter · Physics 2020-06-04 Nikolai V. Priezjev

We present a non-perturbative calculation of the 1-point probability distribution function (PDF) for the spherically-averaged matter density field. The PDF is represented as a path integral and is evaluated using the saddle-point method. It…

Cosmology and Nongalactic Astrophysics · Physics 2019-03-20 Mikhail M. Ivanov , Alexander A. Kaurov , Sergey Sibiryakov

This article investigates the effect of using isotropic and anisotropic plastic response functions in the analysis of the elastic-plastic response of unidirectional fibre composites on the meso-scale. Three model problems that use a…

Soft Condensed Matter · Physics 2024-12-13 Swaroop Gaddikere Nagaraja , Thomas Antretter , Clara Schuecker

We study how local rearrangements alter droplet stresses within flowing dense quasi-two-dimensional emulsions at area fractions $\phi \geq 0.88$. Using microscopy, we measure droplet positions while simultaneously using their deformed shape…

Soft Condensed Matter · Physics 2015-08-31 Kenneth W. Desmond , Eric R. Weeks

The microstructure of a strongly coupled liquid undergoing a shear flow was studied experimentally. The liquid was a shear melted two-dimensional plasma crystal, i.e., a single-layer suspension of micrometer-size particles in a rf discharge…

Soft Condensed Matter · Physics 2015-06-04 V. Nosenko , A. V. Ivlev , G. E. Morfill

Many disordered crystalline materials show chemical short range order and relaxation of neighboring atoms. Local structural information can be obtained by analyzing the atomic pair distribution function (PDF). The viability of reverse Monte…

Materials Science · Physics 2007-05-23 Th. Proffen

In soft matter systems the local displacement field can be accessed directly by video microscopy enabling one to compute local strain fields and hence the elastic moduli using a coarse-graining procedure. We study this process for a simple…

Soft Condensed Matter · Physics 2015-05-14 K. Franzrahe , P. Nielaba , S. Sengupta

We extends pair distribution function (PDF) analysis into the small-angle scattering (SAS) regime and describe the data collection protocol for optimum data quality. We also present the PDFgetS3 software package that can be readily used to…

We introduce a method for calculating the probability density function (PDF) of a turbulent density field in three dimensions using only information contained in the projected two-dimensional column density field. We test the method by…

Astrophysics of Galaxies · Physics 2015-05-18 Christopher M. Brunt , Christoph Federrath , Daniel J. Price

The rheology of dense granular shear flows is influenced by friction and particle shape. We investigate numerically the impact of non-spherical particle geometries under shear on packing fraction, stress ratios, velocity fluctuations, force…

Soft Condensed Matter · Physics 2025-11-04 Jacopo Bilotto , Martin Trulsson , Jean-François Molinari

Entangled polymers are deformed by a strong shear flow. The shape of the polymer, called the form factor, is measured by small angle neutron scattering. However, the real-space molecular structure is not directly available from the…

Traditionally, the deformation of continuum is divided into elastic, plastic, and flow. For a large deformation with cracking, they are combined together. So, for complicated deformation, a formulation to express the evolution of…

Classical Physics · Physics 2007-05-23 Jianhua Xiao

The rheology of dense amorphous materials under large shear strain is not fully understood, partly due to the difficulty of directly viewing the microscopic details of such materials. We use a colloidal suspension to simulate amorphous…

Soft Condensed Matter · Physics 2010-03-24 Dandan Chen , Denis Semwogerere , Jun Sato , Victor Breedveld , Eric R. Weeks

Stress and strain fields in a two-dimensional pixelwise disordered system are computed by a Fast Fourier Transform method. The system, a model for a ductile damaged medium, consists of an elastic-perfectly matrix containing void pixels. Its…

Materials Science · Physics 2008-05-29 Francois Willot , Yves-Patrick Pellegrini

We present a novel method to investigate the dynamics of a single semiflexible polymer, subject to anisotropic friction in a viscous fluid. In contrast to previous approaches, we do not rely on a discrete bead-rod model, but introduce a…

Biomolecules · Quantitative Biology 2009-11-13 Tobias Munk , Oskar Hallatschek , Chris H. Wiggins , Erwin Frey

The probability density function (PDF) for critical wavefunction amplitudes is studied in the three-dimensional Anderson model. We present a formal expression between the PDF and the multifractal spectrum f(alpha) in which the role of…

Disordered Systems and Neural Networks · Physics 2009-03-13 Alberto Rodriguez , Louella J. Vasquez , Rudolf A. Roemer

A new method for analyzing the morphological features of point patterns is presented. The method is taken from the study of molecular liquids, where it has been introduced for making a statistical description of anisotropic distributions.…

Astrophysics · Physics 2007-05-23 R. Valdarnini

In the present work, a method for the study of the structural deformations of two dimensional planar structures under uniaxial strain is presented. The method is based on molecular mechanics using the original stick and spiral model and a…

Materials Science · Physics 2017-04-05 Zacharias G. Fthenakis , Nektarios N. Lathiotakis

We present the first prediction of the probability distribution function (PDF) for self-organization of shear flows modeled by a nonlinear diffusion equation with a stochastic forcing. A novel non-perturbative method based on a coherent…

Fluid Dynamics · Physics 2009-04-26 Eun-jin Kim , Han-Li Liu , Johan Anderson