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We provide a comprehensive overview of the current theoretical understanding of the dynamic structure factor of stiff polymers in semidilute solution based on the wormlike chain (WLC) model. We extend previous work by computing exact…

软凝聚态物质 · 物理学 2008-05-29 J. Glaser , O. Hallatschek , K. Kroy

The dynamic structure factor of semiflexible polymers in solution is derived from the wormlike chain model. Special attention is paid to the rigid constraint of an inextensible contour and to the hydrodynamic interactions. For the cases of…

软凝聚态物质 · 物理学 2009-10-28 Klaus Kroy , Erwin Frey

We calculate the dynamical structure factor S(q, {\omega}) of a weakly interacting helical edge state in the presence of a magnetic field B. The latter opens a gap of width 2B in the single-particle spectrum, which becomes strongly…

强关联电子 · 物理学 2015-06-17 Suhas Gangadharaiah , Thomas L. Schmidt , Daniel Loss

As an important physical quantity to understand the internal structure of polymer chains, the structure factor is being studied both in theory and experiment. Theoretically, the structure factor of Gaussian chains have been solved…

软凝聚态物质 · 物理学 2021-04-21 Jie Huang , Xinghua Zhang , Gang Huang , Shiben Li

Small-angle scattering is a commonly used tool to analyze the dispersion of nanoparticles in all kinds of matrices. Besides some obvious cases, the associated structure factor is often complex and cannot be reduced to a simple interparticle…

软凝聚态物质 · 物理学 2023-10-24 Anne-Caroline Genix , Julian Oberdisse

The inter-molecular structure of semidilute polymer solutions is studied theoretically. The low density limit of a generalized Ornstein-Zernicke integral equation approach to polymeric liquids is considered. Scaling laws for the…

软凝聚态物质 · 物理学 2009-10-31 M. Fuchs , M. Müller

The main goal of this work is to accurately reproduce the structural properties of attractive systems modelled by hard-sphere plus square-well (HS+SW) interaction potential. Based on the optimized random phase approximation (ORPA), the…

We theoretically investigate the static structure factor of an interacting Fermi gas near the BEC-BCS crossover at large momenta. Due to short-range two-body interactions, we predict that the structure factor of unlike spin correlations…

量子气体 · 物理学 2010-08-25 Hui Hu , Xia-Ji Liu , Peter D. Drummond

PEP-PEO block copolymer micelles offer the possibility to investigate phase behaviour and interactions of star polymers (ultra-soft colloids). A star-like architecture is achieved by an extremely asymmetric block ratio (1:20). Micellar…

软凝聚态物质 · 物理学 2009-11-11 M. Laurati , J. Stellbrink , R. Lund , L. Willner , D. Richter , E. Zaccarelli

We consider an inextensible, semiflexible polymer or worm-like chain which is confined in the transverse direction by a parabolic potential and subject to a longitudinal force at the ends, so that the polymer is stretched out and…

软凝聚态物质 · 物理学 2015-05-28 Theodore W. Burkhardt

We consider the structure factor of a system of colloidal particles immersed in a host liquid. Each particle is assumed to be affected by forces due to other particles, a drag force proportional to the velocity of the particle relative to…

统计力学 · 物理学 2009-11-07 Guy Vinograd , Moshe Schwartz

In the volume fraction range (0.005,0.08), we have obtained the temporal evolution of the structure factor $S(q)$, in extensive numerical simulations of both diffusion-limited and reaction-limited colloid aggregation in three dimensions. We…

凝聚态物理 · 物理学 2007-05-23 Agustin E. Gonzalez , Guillermo Ramirez-Santiago

We investigate the problem of estimating the structure factor, or spectra, of stationary spatial point processes. In the first part, we establish a minimax lower bound for this estimation problem, using an approach tailored to second-order…

统计理论 · 数学 2025-11-19 Gabriel Mastrilli

We develop Monte Carlo simulations for uniformly charged polymers and machine learning algorithm to interpret the intra-polymer structure factor of the charged polymer system, which can be obtained from small-angle scattering experiments.…

软凝聚态物质 · 物理学 2025-11-21 Lijie Ding , Chi-Huan Tung , Jan-Michael Y. Carrillo , Wei-Ren Chen , Changwoo Do

We study a simple heteropolymer model containing sequence-independent local interactions on both square and triangular lattices. Sticking to a two-letter code, we investigate the model for varying strength $\kappa$ of the local…

软凝聚态物质 · 物理学 2009-10-30 Anders Irbäck , Erik Sandelin

In this paper, we present a new approach to the discrete version of the Wormlike Chain Model (WCM) of semiflexible polymers. Our solution to the model is based on a new computational technique called the Generalized Borel Transform (GBT)…

软凝聚态物质 · 物理学 2007-05-23 Marcelo Marucho , Gustavo A. Carri

We exemplarily investigate how optical properties of single scatterers in interacting multi-particle systems influence measurable structure factors. Both particles with linear gradients of their scattering length density and core-shell…

软凝聚态物质 · 物理学 2024-04-05 Joel Diaz Maier , Katharina Gaus , Joachim Wagner

Reinforcement of elastomers by colloidal nanoparticles is an important application where microstructure needs to be understood - and if possible controlled - if one wishes to tune macroscopic mechanical properties. Here the…

软凝聚态物质 · 物理学 2007-05-23 Julian Oberdisse , Peter Hine , Wim Pyckhout-Hintzen

We propose a novel framework for approximate factor models that integrates an S-vine copula structure to capture complex dependencies among common factors. Our estimation procedure proceeds in two steps: first, we apply principal component…

统计方法学 · 统计学 2025-08-18 Jialing Han , Yu-Ning Li

Molecular dynamics simulation and recent theory are used to examine density correlations in semidilute solutions of highly charged, intrinsically flexible and hydrophilic polyelectrolytes in low salt. Quantitative comparison with no…

软凝聚态物质 · 物理学 2021-07-06 James P. Donley , David R. Heine
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