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Related papers: Depletion potential in the infinite dilution limit

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The new mathematical framework based on the free energy of pure classical fluids presented in [R. D. Rohrmann, Physica A 347, 221 (2005)] is extended to multi-component systems to determine thermodynamic and structural properties of…

Statistical Mechanics · Physics 2008-11-26 R. D. Rohrmann , J. Zorec

It is known that when hard spheres are added to a pure system of hard rods the stability of the smectic phase may be greatly enhanced, and that this effect can be rationalised in terms of depletion forces. In the present paper we first…

Soft Condensed Matter · Physics 2022-06-07 Yuri Martinez-Raton , Giorgio Cinacchi , Enrique Velasco , Luis Mederos

Hard-sphere fluids confined between parallel plates a distance $D$ apart are studied for a wide range of packing fractions, including also the onset of crystallization, applying Monte Carlo simulation techniques and density functional…

Statistical Mechanics · Physics 2011-10-10 Debabrata Deb , Alexander Winkler , Mohammad Hossein Yamani , Martin Oettel , Peter Virnau , Kurt Binder

Explicit simulations of fluid mixtures of highly size-dispersed particles are constrained by numerical challenges associated with identifying pair-interaction neighbors. Recent algorithmic developments have ameliorated these difficulties to…

Soft Condensed Matter · Physics 2022-12-07 Joseph M. Monti , Gary S. Grest

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

We construct a non-perturbative fully analytical approximation for the thermodynamics and the structure of nonadditive hard-sphere fluid mixtures. The method essentially lies in a heuristic extension of the Percus-Yevick solution for…

Soft Condensed Matter · Physics 2011-10-14 Riccardo Fantoni , Andrés Santos

Simulations of water near extended hydrophobic spherical solutes have revealed the presence of a region of depleted density and accompanying enhanced density fluctuations.The physical origin of both phenomena has remained somewhat obscure.…

Soft Condensed Matter · Physics 2023-02-01 Mary K. Coe , Robert Evans , Nigel B. Wilding

We show that a general density functional approach for calculating the force between two big particles immersed in a solvent of smaller ones can describe systems that exhibit fluid-fluid phase separation: the theory captures effects of…

Soft Condensed Matter · Physics 2007-05-23 A. J. Archer , R. Evans , R. Roth

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

Previously, it has been shown that the direct correlation function for a Lennard-Jones fluid could be modeled by a sum of that for hard-spheres, a mean-field tail and a simple linear correction in the core region constructed so as to…

Statistical Mechanics · Physics 2008-08-20 James F. Lutsko

A simple analytical expression, which closely approximates the Coulomb potential between two uniformly charged spheres, is presented. This expression can be used in the optical potential semiclassical analyses which require that the…

Nuclear Theory · Physics 2009-11-07 R. Anni

A recent paper [I. Klebanov et al. \emph{Mod. Phys. Lett. B} \textbf{22} (2008) 3153; arXiv:0712.0433] claims that the exact solution of the Percus-Yevick (PY) integral equation for a system of hard spheres plus a step potential is…

Soft Condensed Matter · Physics 2009-11-09 Andrés Santos

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

We represent the free energy functional by a diagrammatic series with tensorial coefficients indexed by powers of length scale. For hard cores, we obtain Percus' exact functional in one dimension and the Kierlik-Rosinberg form of…

Soft Condensed Matter · Physics 2015-05-27 Gavin Leithall , Matthias Schmidt

We study various manifestations of structural crossover in the properties of a binary mixture of hard-spheres. For homogeneous mixtures that are sufficiently asymmetric, there is a crossover line in the phase diagram such that for…

Soft Condensed Matter · Physics 2009-11-11 C. Grodon , M. Dijkstra , R. Evans , R. Roth

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

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

Systems of particles interacting via inverse-power law potentials have an invariance with respect to changes in length and temperature, implying a correspondence in the dynamics and thermodynamics between different `isomorphic' sets of…

Statistical Mechanics · Physics 2016-08-03 Thibaud Maimbourg , Jorge Kurchan

Using a density functional based interface displacement model we determine the effective interaction potential between two spherical particles which are immersed in a homogeneous fluid such as the vapor phase of a one-component substance or…

Soft Condensed Matter · Physics 2009-10-31 C. Bauer , T. Bieker , S. Dietrich

The partition function and the one- and two-body distribution functions are evaluated for two hard spheres with different sizes constrained into a spherical pore. The equivalent problem for hard disks is addressed too. We establish a…

Statistical Mechanics · Physics 2010-05-07 Ignacio Urrutia
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