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Formula for the size of the scatterer is derived explicitly in terms of the scattering amplitude corresponding to this scatterer. By the scatterer either a bounded obstacle $D$ or the support of the compactly supported potential is meant

Analysis of PDEs · Mathematics 2020-08-26 Alexander G. Ramm

The spatial correlations of entangled polymer dynamics are examined by molecular dynamics simulations and neutron spin-echo spectroscopy. Due to the soft nature of topological constraints, the initial spatial decays of intermediate…

The average scattered intensity is determined by the optical characteristics of particles in dispersion. The normalized time auto-correlation function of the scattered light intensity $g^{(2)}(\tau) $ includes both the optical and…

Chemical Physics · Physics 2007-05-23 Yong Sun

Scattering structure factors provide essential insight into material properties and are routinely obtained in experiments, computer simulations, and theoretical analyses. Different approaches favor different geometries of the material. In…

Soft Condensed Matter · Physics 2018-05-15 Yongtian Luo , Lutz Maibaum

We present the results of analytic calculations and numerical simulations of the behaviour of a new class of chain molecules which we call thick polymers. The concept of the thickness of such a polymer, viewed as a tube, is encapsulated by…

Soft Condensed Matter · Physics 2015-06-25 D. Marenduzzo , A. Flammini , A. Trovato , J. R. Banavar , A. Maritan

Colloidal suspensions with free polymer coils which are larger than the colloidal particles are considered. The polymer-colloid interaction is modeled by an extension of the Asakura-Oosawa model. Phase separation occurs into dilute and…

Soft Condensed Matter · Physics 2009-10-31 Richard P. Sear

The depletion theory of nanoparticles immersed in a semidilute polymer solution is reinterpreted in terms of depleted chains of polymer segments. Limitations and extensions of mean-field theory are discussed. An explicit expression for the…

Soft Condensed Matter · Physics 2008-08-04 Theo Odijk

We report on the crystallization kinetics in an entropically attractive colloidal system using a combination of time resolved scattering methods and microscopy. Hard sphere particles are polystyrene microgels swollen in a good solvent…

Soft Condensed Matter · Physics 2010-09-09 Andreas Stipp , Hans-Joachim Schoepe , Thomas Palberg , Thomas Eckert , Eckhard Bartsch , Ralf Biehl

We present a study of diffusion of small tagged particles in a solvent, using mode coupling theory (MCT) analysis and computer simulations. The study is carried out for various interaction potentials. For the first time, using MCT, it is…

Soft Condensed Matter · Physics 2015-06-12 Manoj Kumar Nandi , Atreyee Banerjee , Sarika Maitra Bhattacharyya

The size of rings (also called cyclic polymers) in bidisperse blends of chemically identical rings is analyzed by computer simulations. Data of entangled ring blends and blends of interpenetrating rings are compared and it is shown that the…

Soft Condensed Matter · Physics 2021-03-31 Michael Lang

The transport of polymers with folded configurations across membrane pores is investigated theoretically by analyzing simple discrete stochastic models. The translocation dynamics is viewed as a sequence of two events: motion of the folded…

Statistical Mechanics · Physics 2009-11-13 Stanislav Kotsev , Anatoly B. Kolomeisky

In this paper we consider in detail the connection between the problem of a polymer in a random medium and that of a quantum particle in a random potential. We are interested in a system of finite volume where the polymer is known to be…

Disordered Systems and Neural Networks · Physics 2009-10-31 Yohannes Shiferaw , Yadin Y. Goldschmidt

Particle tracking is a key to single-particle-level confocal microscopy observation of colloidal suspensions, emulsions, and granular matter. The conventional tracking method has not been able to provide accurate information on the size of…

Soft Condensed Matter · Physics 2013-01-31 Mathieu Leocmach , Hajime Tanaka

Colloid-polymer mixtures may undergo either fluid-fluid phase separation or gelation. This depends on the depth of the quench (polymer concentration) and polymer-colloid size ratio. We present a real-space study of dynamics in phase…

Soft Condensed Matter · Physics 2012-09-19 Isla Zhang , C. Patrick Royall , Paul Bartlett , Malcolm A. Faers

Colloids coupled to a bath of swimming cells generically display enhanced diffusion. This transport dynamics stems from a subtle interplay between the active and passive particles that still resists our understanding despite decades of…

Soft Condensed Matter · Physics 2021-03-25 Antoine Lagarde , Noémie Dagès , Takahiro Nemoto , Vincent Démery , Denis Bartolo , Thomas Gibaud

The non-equilibrium distribution of colloids in a polymer solution under a temperature gradient is studied experimentally. A slight increase of local temperature by a focused laser drives the colloids towards the hot region, resulting in…

Soft Condensed Matter · Physics 2015-05-13 Hong-Ren Jiang , Hirofumi Wada , Natsuhiko Yoshinaga , Masaki Sano

We study the formation and growth of equilibrium clusters in a suspension of weakly-charged colloidal particles and small non-adsorbing polymers. The effective potential is characterised by a short-range attraction and a long-range…

Soft Condensed Matter · Physics 2009-11-11 Rodrigo Sanchez , Paul Bartlett

We present using simple scaling arguments and one step replica symmetry breaking a theory for the localization of semiflexible polymers in a quenched random environment. In contrast to completely flexible polymers, localization of…

Soft Condensed Matter · Physics 2009-11-10 Arti Dua , Thomas A. Vilgis

We demonstrate that diffusiophoretic, thermophoretic and chemotactic phenomena in turbulence lead to clustering of particles on multi-fractal sets that can be described using one single framework, valid when the particle size is much…

Fluid Dynamics · Physics 2016-10-19 Lukas Schmidt , Itzhak Fouxon , Dominik Krug , Maarten van Reeuwijk , Markus Holzner

The hysteresis curves of systems composed of small interacting magnetic particles, regularly placed on stacked layers, are obtained with Monte Carlo simulations. The remanence as a function of temperature, in interacting systems, presents a…

Materials Science · Physics 2009-11-10 Paola R. Arias , D. Altbir , M. Bahiana
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