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By using the Rosenfeld density functional we determine the number density profiles of both components of binary hard-sphere fluids close to a planar hard wall as well as the corresponding excess coverage and surface tension. The comparison…

Soft Condensed Matter · Physics 2009-10-31 R. Roth , S. Dietrich

The structural properties of polydisperse hard spheres in the presence of a hard wall are investigated via Monte Carlo simulation and density functional theory (DFT). Attention is focussed on the local density distribution $\rho(\sigma,z)$,…

Soft Condensed Matter · Physics 2009-11-10 Matteo Buzzacchi , Ignacio Pagonabarraga , Nigel B. Wilding

The fundamental measure density functional theory for hard spheres is generalized to binary mixtures of arbitrary positive and moderate negative non-additivity between unlike components. In bulk the theory predicts fluid-fluid phase…

Soft Condensed Matter · Physics 2009-11-10 Matthias Schmidt

The properties of a hard-sphere fluid in contact with hard spherical and cylindrical walls are studied. Rosenfeld's density functional theory (DFT) is applied to determine the density profile and surface tension $\gamma$ for wide ranges of…

Statistical Mechanics · Physics 2007-05-23 P. Bryk , R. Roth , K. R. Mecke , S. Dietrich

We analyze the sedimentation behavior of a polydisperse two-dimensional liquid-crystal fluid using a local density functional theory based on scaled particle theory. Polydispersity is incorporated through variations in the roundness of hard…

Soft Condensed Matter · Physics 2025-11-11 Tobias Eckert , Daniel de las Heras , Enrique Velasco , Yuri Martínez-Ratón

We simulate a hard-sphere liquid in confined geometry where the separation of the two parallel, hard walls is smaller than two particle diameters. By systematically reducing the wall separation we analyze the behavior of structural and…

Soft Condensed Matter · Physics 2022-08-18 Gerhard Jung , Thomas Franosch

A recently proposed rational-function approximation [Phys. Rev. E \textbf{84}, 041201 (2011)] for the structural properties of nonadditive hard spheres is applied to evaluate analytically (in Laplace space) the local density profiles of…

Soft Condensed Matter · Physics 2013-04-08 Riccardo Fantoni , Andrés Santos

The most efficient way to pack equally sized spheres isotropically in 3D is known as the random close packed state, which provides a starting point for many approximations in physics and engineering. However, the particle size distribution…

Soft Condensed Matter · Physics 2010-01-05 Robert S. Farr , Robert D. Groot

We report a Monte Carlo simulation study of the properties of highly asymmetric binary hard sphere mixtures. This system is treated within an effective fluid approximation in which the large particles interact through a depletion potential…

Statistical Mechanics · Physics 2009-11-11 Julio Largo , Nigel B. Wilding

A geometry-based density functional theory is presented for mixtures of hard spheres, hard needles and hard platelets; both the needles and the platelets are taken to be of vanishing thickness. Geometrical weight functions that are…

Soft Condensed Matter · Physics 2009-11-11 Ansgar Esztermann , Hendrik Reich , Matthias Schmidt

The equilibrium phase behaviour of hard spheres with size polydispersity is studied theoretically. We solve numerically the exact phase equilibrium equations that result from accurate free energy expressions for the fluid and solid phases,…

Soft Condensed Matter · Physics 2007-05-23 M. Fasolo , P. Sollich

We develop a model to describe the properties of random assemblies of polydisperse hard spheres. We show that the key features to describe the system are (i) the dependence between the free volume of a sphere and the various coordination…

Disordered Systems and Neural Networks · Physics 2015-05-19 Maximilien Danisch , Yuliang Jin , Hernan A. Makse

The rational function approximation method, density functional theory, and NVT Monte Carlo simulation are used to obtain the density profiles of multicomponent hard-sphere mixtures near a planar hard wall. Binary mixtures with a size ratio…

Statistical Mechanics · Physics 2007-06-06 Alexandr Malijevsky , Santos B. Yuste , Andres Santos , Mariano Lopez de Haro

Fluids consisting of hard platelike particles near a hard wall are investigated using density functional theory. The density and orientational profiles as well as the surface tension and the excess coverage are determined and compared with…

Statistical Mechanics · Physics 2009-11-07 L. Harnau , S. Dietrich

We analyze the structure of the Fundamental Measure Theory for the free energy density functional of hard sphere mixtures. A comparative study of the different versions of the theory, and other density functional approaches, is done in…

Soft Condensed Matter · Physics 2009-11-07 Jose A. Cuesta , Yuri Martinez-Raton , Pedro Tarazona

The liquid-gas phase diagram for polydisperse dipolar hard-sphere fluid with polydispersity in the hard-sphere size and dipolar moment is calculated using extension of the recently proposed thermodynamic perturbation theory for central…

Soft Condensed Matter · Physics 2012-07-16 Yu. V. Kalyuzhnyi , S. Hlushak , P. T. Cummings

We study the size-topology relations in random packings of dry adhesive polydisperse microspheres with Gaussian and lognormal size distributions through a geometric tessellation. We find that the dependence of the neighbour number on the…

Soft Condensed Matter · Physics 2019-02-20 Wenwei Liu , Sheng Chen , Chuan-yu Wu , Shuiqing Li

The behavior of mesoscopic particles dissolved in a dilute solution of long, flexible, and nonadsorbing polymer chains is studied by field-theoretic methods. For spherical and cylindrical particles the solvation free energy for immersing a…

Soft Condensed Matter · Physics 2009-10-31 A. Hanke , E. Eisenriegler , S. Dietrich

The recently proposed universal relations between the moments of the polydispersity distributions of a phase-separated weakly polydisperse system are analyzed in detail using the numerical results obtained by solving a simple density…

Statistical Mechanics · Physics 2009-10-31 Hong Xu , Marc Baus

We study turbulent channel flows of monodisperse and polydisperse suspensions of finite-size spheres by means of Direct Numerical Simulations using an immersed boundary method to account for the dispersed phase. Suspensions with 3 different…

Fluid Dynamics · Physics 2017-10-11 Walter Fornari , Francesco Picano , Luca Brandt
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