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Related papers: Depletion potential in hard sphere fluids

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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

Transport properties of dense fluids are fundamentally challenging, because the powerful approaches of equilibrium statistical physics cannot be applied. Polar fluids compound this problem, because the long-range interactions preclude the…

Soft Condensed Matter · Physics 2020-06-16 Faezeh Pousaneh , Astrid S. de Wijn

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

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

The fluid - crystal equilibria of polydisperse mixtures of hard spheres have been studied by computer simulation of the solid phase and using an accurate equation of state for the fluid. A new scheme has been developed to evaluate the…

Statistical Mechanics · Physics 2007-05-23 N. G. Almarza , E. Enciso

Model of hard sphere system is important part of modern theories of liquids. Radial distribution function of hard sphere fluid represented in form of explicit analytical expression allows to obtain thermodynamic potentials in analytical…

Statistical Mechanics · Physics 2016-10-11 Timur Aslyamov

Density functional theory is used to study binary colloidal fluids consisting of hard spheres and thin platelets in their bulk and near a planar hard wall. This system exhibits liquid-liquid coexistence of a phase that is rich in spheres…

Soft Condensed Matter · Physics 2009-11-10 L. Harnau , S. Dietrich

The onset of condensation of hard spheres in a gravitational field is studied using density functional theory. In particular, we find that the local density approximation yields results identical to those obtained previously using the…

Statistical Mechanics · Physics 2009-11-07 Joseph A. Both , Daniel C. Hong

A method is proposed for evaluation of single and double layer potentials of the Laplace and Helmholtz equations on piecewise smooth manifold boundary elements with constant densities. The method is based on a novel two-term decomposition…

Numerical Analysis · Mathematics 2023-09-15 Shoken Kaneko , Ramani Duraiswami

A method for taking into account the long-range potential of atoms in the framework of the hard-sphere model is proposed. It is shown that thermodynamic quantities can be represented as a sum of three contribution: that of an ideal gas, the…

Statistical Mechanics · Physics 2020-10-14 Yu. M. Poluektov

We introduce a new computationally efficient and accurate classical density-functional theory for water and apply it to hydration of hard spheres and inert gas atoms. We find good agreement with molecular dynamics simulations for the…

Statistical Mechanics · Physics 2010-01-16 Sahak A. Petrosyan , David Roundy , Jean-Francois Briere , Tomas A. Arias

As a first step towards a microscopic understanding of the effective interaction between colloidal particles suspended in a solvent we study the wetting behavior of one-component fluids at spheres and fibers. We describe these phenomena…

Condensed Matter · Physics 2015-06-25 T. Bieker , S. Dietrich

The chemical potentials of multicomponent fluids are derived in terms of the pair correlation functions for arbitrary number of components, interaction potentials, and dimensionality. The formally exact result is particularized to…

Statistical Mechanics · Physics 2013-05-31 Andrés Santos , René D. Rohrmann

Density-dependent potentials are frequently used in materials simulations due to their approximate description of many-body effects at minimal computational cost. However, in order to apply such models to multi-component systems, an…

Chemical Physics · Physics 2020-09-14 Peter Vanya , James A. Elliott

The effective potential formalism is applied to glass forming liquids, choosing a coupling potential such that the "order parameter", conjugated to the coupling strength, is the mean square displacement of the particles from their position…

Disordered Systems and Neural Networks · Physics 2007-05-23 Antonio de Candia

The phase behavior of binary fluid mixtures of hard hyperspheres in four and five dimensions is investigated. Spinodal instability is found by using a recent and accurate prescription for the equation of state of the mixture that requires…

Statistical Mechanics · Physics 2016-08-15 S. B. Yuste , A. Santos , M. López de Haro

We investigate effective interactions between a colloidal particle, immersed in a binary mixture of smaller spheres, and a semipermeable membrane. The colloid is modeled as a big hard sphere and the membrane is represented as an infinitely…

Soft Condensed Matter · Physics 2007-05-23 Pawel Bryk

The effective pair potentials between different kinds of dendrimers in solution can be well approximated by appropriate Gaussian functions. We find that in binary dendrimer mixtures the range and strength of the effective interactions…

Soft Condensed Matter · Physics 2007-05-23 I. O. Gotze , A. J. Archer , C. N. Likos

A binary fluid mixture of non-additive hard spheres characterized by a size ratio $\gamma=\sigma_2/\sigma_1<1$ and a non-additivity parameter $\Delta=2\sigma_{12}/(\sigma_1+\sigma_2)-1$ is considered in infinitely many dimensions. From the…

Statistical Mechanics · Physics 2007-05-23 A. Santos , M. Lopez de Haro

To calculate the solvation of hydrophobic solutes we have developed the method based on the fundamental measure treatment of the density functional theory. This method allows us to carry out calculations of density profiles and the…

Statistical Mechanics · Physics 2007-05-23 Victor F. Sokolov , Gennady N. Chuev