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An explicit expression is derived for the scattering function of a self-avoiding polymer chain in a $d$-dimensional space. The effect of strength of segment interactions on the shape of the scattering function and the radius of gyration of…

Statistical Mechanics · Physics 2007-05-23 A. D. Drozdov

In this work we present a new model for the form factor of a star polymer consisting of self-avoiding branches. This new model incorporates excluded volume effects and is derived from the two point correlation function for a star polymer..…

Chemical Physics · Physics 2014-04-29 Xin Li , Changwoo Do , Yun Liu , Luis E. Sánchez-Diáz , Kunlun Hong , Gregory S. Smith , Wei-Ren Chen

We study light scattering by systems combining randomly rough surface and volume dielectric fluctuations. We introduce a general model including correlations between surface and volume disorders, and we study the scattering properties…

Optics · Physics 2020-05-27 J. -P. Banon , I. Simonsen , R. Carminati

The correlations between the segments of a semidilute polymer solution are found to induce correlations in the positions of small particles added to the solution. Small means a diameter much less than the polymer's correlation length. In…

Soft Condensed Matter · Physics 2009-10-30 Richard P. Sear

We study the light scattering properties of random ballistic aggregates constructed in Shen et al. (Paper I). Using the discrete-dipole-approximation, we compute the scattering phase function and linear polarization for random aggregates…

Earth and Planetary Astrophysics · Physics 2011-02-11 Yue Shen , B. T. Draine , Eric T. Johnson

We present a generalized theory for studying static monomer density-density correlation function (structure factor) in concentrated solutions and melts of dipolar as well as ionic polymers. The theory captures effects of electrostatic…

Soft Condensed Matter · Physics 2018-11-14 Rajeev Kumar , Bradley Lokitz , Timothy E. Long , Bobby G. Sumpter

Polyelectrolyte complexation plays an important role in materials science and biology. The internal structure of the resultant polyelectrolyte complex (PEC) phase dictates properties such as physical state, response to external stimuli, and…

The role of solvent quality in determining the universal material properties of dilute polymer solutions undergoing steady simple shear flow is examined. A bead-spring chain representation of the polymer molecule is used, and the influence…

Soft Condensed Matter · Physics 2020-07-03 K. Satheesh Kumar , J. Ravi Prakash

The formalism developed in Refs.\cite{Guo:2023ecc,Guo:2024zal} that connects integrated correlation function of a trapped two-particle system to infinite volume scattering phase shift is further extended to coupled-channel systems in the…

High Energy Physics - Lattice · Physics 2025-02-25 Peng Guo , Frank X. Lee

We study the two-point correlation function in the model of branched polymers and its relation to the critical behaviour of the model. We show that the correlation function has a universal scaling form in the generic phase with the only…

High Energy Physics - Lattice · Physics 2009-10-30 P. Bialas , Z. Burda , J. Jurkiewicz

Depletion-induced interactions between colloids in colloid-polymer mixtures depend in range and strength on size, shape, and concentration of depletants. Crowding by colloids in turn affects shapes of polymer coils, such as biopolymers in…

Soft Condensed Matter · Physics 2016-02-25 Wei Kang Lim , Alan R. Denton

In a complex scattering system with few open channels, say a quantum dot with leads, the correlation properties of the poles of the scattering matrix are most directly related to the internal dynamics of the system. We may ask how to…

Condensed Matter · Physics 2008-12-18 T. Gorin , T. H. Seligman

We determine the depletion-induced phase-behavior of hard sphere colloids and interacting polymers by large-scale Monte Carlo simulations using very accurate coarse-graining techniques. A comparison with standard Asakura-Oosawa model…

Soft Condensed Matter · Physics 2009-11-07 P. G. Bolhuis , A. A. Louis , J-P Hansen

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…

Soft Condensed Matter · Physics 2023-10-24 Anne-Caroline Genix , Julian Oberdisse

The influence of poor solvent quality on fluid demixing of a model mixture of colloids and nonadsorbing polymers is investigated using density functional theory. The colloidal particles are modelled as hard spheres and the polymer coils as…

Soft Condensed Matter · Physics 2009-11-07 Matthias Schmidt , Alan R. Denton

We discuss structural correlations in mixtures of free polymer and colloidal particles based on a microscopic, 2-component liquid state integral equation theory. Whereas in the case of polymers much smaller than the spherical particles the…

Soft Condensed Matter · Physics 2009-11-07 Matthias Fuchs , Kenneth S. Schweizer

Using a single-scattering theory, we derive the expression of the degree of polarization of the light scattered from a layer exhibiting both surface and volume scattering. The expression puts forward the intimate connection between the…

Optics · Physics 2023-12-07 Jean-Philippe Banon , Ingve Simonsen , Rémi Carminati

We study by means of time-dependent numerical simulations the behavior of the entanglement stemming from the Coulomb scattering between two charged particles subject to a pulse of sinusoidal potential. We show that the splitting of the…

Quantum Physics · Physics 2009-02-04 Fabrizio Buscemi , Paolo Bordone , Andrea Bertoni

Interaction of waves with point and line defects are usually described by $\delta$-function potentials supported on points or lines. In two dimensions, the scattering problem for a finite collection of point defects or parallel line defects…

Quantum Physics · Physics 2022-01-14 Hai V. Bui , Farhang Loran , Ali Mostafazadeh

The article discusses how the pattern of elastic scattering of an electron on a pair of identical atomic spheres will look if we abandon the standard in the molecular physics assumption that, outside the molecular sphere, in the external…

Atomic Physics · Physics 2022-09-20 A. S. Baltenkov , I. Woiciechowski
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