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We investigate polydispersity effects on the average structure factor of colloidal suspensions of neutral particles with surface adhesion. A sticky hard sphere model alternative to Baxter's one is considered. The choice of factorizable…

Statistical Mechanics · Physics 2009-11-07 Domenico Gazzillo , Achille Giacometti

We discuss phase coexistence of polydisperse colloidal suspensions in the presence of adhesion forces. The combined effect of polydispersity and Baxter's sticky-hard-sphere (SHS) potential, describing hard spheres interacting via strong and…

Statistical Mechanics · Physics 2009-11-11 Domenico Gazzillo , Achille Giacometti , Riccardo Fantoni

Integral equation of pure liquids, combined with a new "scaling approximation" based on a corresponding states treatment of pair correlation functions, is used to evaluate approximate structure factors for colloidal fluids constituted of…

The structure of the Baxter adhesive hard sphere fluid is examined using computer simulation. The radial distribution function (which exhibits unusual discontinuities due to the particle adhesion) and static structure factor are calculated…

Soft Condensed Matter · Physics 2009-11-10 Mark A. Miller , Daan Frenkel

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

We developed an analytical theoretical method to determine the microscopical structure of weakly to moderately sheared colloidal suspensions in dilute conditions. The microstructure is described by the static structure factor, obtained by…

Soft Condensed Matter · Physics 2022-05-25 Simone Riva , Luca Banetta , Alessio Zaccone

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…

Soft Condensed Matter · Physics 2009-10-28 Klaus Kroy , Erwin Frey

Velocity and density structure factors are measured over a hydrodynamic range of scales in a horizontal quasi-2d fluidized granular experiment, with packing fractions $\phi\in[10%,40%]$. The fluidization is realized by vertically vibrating…

Soft Condensed Matter · Physics 2015-06-03 A. Puglisi , A. Gnoli , G. Gradenigo , A. Sarracino , D. Villamaina

We investigate the dependence of the stickiness parameters $t_{ij}=1/(12\tau _{ij})$ -- where the $\tau_{ij}$ are the conventional Baxter parameters -- on the solute diameters $\sigma_{i}$ and $\sigma_{j}$ in multicomponent sticky hard…

Soft Condensed Matter · Physics 2009-11-11 Domenico Gazzillo , Achille Giacometti , Riccardo Fantoni , Peter Sollich

Measuring the structure factor, S(q), of a dispersion of particles by Small-Angle X-ray Scattering provides a unique method to investigate the spatial arrangement of colloidal particles. However, it is impossible to find the exact location…

Soft Condensed Matter · Physics 2020-12-09 Robert Botet , Sylvie Kwok , Bernard Cabane

New small angle scattering experiments reveal new peaks in colloidal systems (S.H. Chen et al) in the structure function S(k), in a region that was inaccessible with older instruments. We propose here general closure of the Ornstein Zernike…

Statistical Mechanics · Physics 2009-11-11 L. Blum , M. Arias

We consider an anisotropic version of Baxter's model of `sticky hard spheres', where a nonuniform adhesion is implemented by adding, to an isotropic surface attraction, an appropriate `dipolar sticky' correction (positive or negative,…

Soft Condensed Matter · Physics 2009-11-13 Domenico Gazzillo , Riccardo Fantoni , Achille Giacometti

We perform Monte Carlo simulations on the hard-core attractive Yukawa system to test the Optimized Baxter Model that was introduced in [P.Prinsen and T. Odijk, J. Chem. Phys. 121, p.6525 (2004)] to study a fluid phase of spherical particles…

Soft Condensed Matter · Physics 2009-11-11 Peter Prinsen , Josep C. Pamies , Theo Odijk , Daan Frenkel

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

In many-body systems the convolution approximation states that the 3-point static structure function, $S^{(3)}(\textbf{k}_{1},\textbf{k}_{2})$, can approximately be "factorized" in terms of the 2-point counterpart,…

Plasma Physics · Physics 2016-11-23 Peter Magyar , Peter Hartmann , Gabor J. Kalman , Kenneth I. Golden , Zoltan Donko

A known `sticky-hard-sphere' model, defined starting from a hard-sphere-Yukawa potential and taking the limit of infinite amplitude and vanishing range with their product remaining constant, is shown to be ill-defined. This is because its…

Statistical Mechanics · Physics 2009-11-10 Domenico Gazzillo , Achille Giacometti

The structural correlations in the microscopic structures of random media can induce the dependent scattering mechanism and thus influence the optical scattering properties. Based on our recent theory on the dependent scattering mechanism…

Disordered Systems and Neural Networks · Physics 2018-06-19 B. X. Wang , C. Y. Zhao

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…

Soft Condensed Matter · Physics 2024-04-05 Joel Diaz Maier , Katharina Gaus , Joachim Wagner

We study the effects of size polydispersity on the gas-liquid phase behaviour of mixtures of sticky hard spheres. To achieve this, the system of coupled quadratic equations for the contact values of the partial cavity functions of the…

Soft Condensed Matter · Physics 2009-11-11 Riccardo Fantoni , Domenico Gazzillo , Achille Giacometti , Peter Sollich

Confined fluids display complex behavior due to layering and local packing. Here, we disentangle these effects by confining a hard-sphere fluid to the surface of a cylinder, such the circumference extends only over a few particle diameters.…

Soft Condensed Matter · Physics 2020-04-23 Charlotte F. Petersen , Lukas Schrack , Thomas Franosch
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