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We calculated the spatial distribution of reduced density and pair distribution function (PDF) of solvent hard spheres near a solute using three-dimensional Ornstein-Zernike (OZ) equations coupled with closures in which Percus-Yevick (PY)…

Soft Condensed Matter · Physics 2023-11-27 Mika Matsuo , Yuka Nakamura , Masahiro Kinoshita , Ryo Akiyama

The scaled particle theory is applied to a description of thermodynamic properties of one-dimensional hard rod fluid in disordered porous media. To this end, we extended the SPT2 approach, which had been developed previously. Analytical…

Soft Condensed Matter · Physics 2012-07-13 M. Holovko , T. Patsahan , W. Dong

The structural properties of square-shoulder fluids are derived from the use of the rational function approximation method. The computation of both the radial distribution function and the static structure factor involves mostly analytical…

Statistical Mechanics · Physics 2011-03-21 S. B. Yuste , A. Santos , M. López de Haro

In this paper we investigate the solubility of a hard - sphere gas in a solvent modeled as an associating lattice gas (ALG). The solution phase diagram for solute at 5% is compared with the phase diagram of the original solute free model.…

Statistical Mechanics · Physics 2012-05-10 Marcia M. Szortyka , Maurício Girardi , Vera B. Henriques , Marcia C. Barbosa

The surface tension of interacting polymers in a good solvent is calculated theoretically and by computer simulations for a planar wall geometry and for the insertion of a single colloidal hard-sphere. This is achieved for the planar wall…

Soft Condensed Matter · Physics 2016-08-31 A. A. Louis , P. G. Bolhuis , E. J. Meijer , J. P. Hansen

In this work we examine thermodynamics of fluid with "molecules" represented by two fused hard spheres, decorated by the attractive square-well sites. Interactions between these sites are of short-range and cause association between the…

Soft Condensed Matter · Physics 2016-03-24 M. Kastelic , Yu. V. Kalyuzhnyi , V. Vlachy

We use the thread model for linear chains of interacting monomers, and the ``polymer reference interaction site model'' (PRISM) formalism to determine the monomer-monomer pair correlation function $h_{mm}(r)$ for dilute and semi-dilute…

Soft Condensed Matter · Physics 2007-05-23 V. Krakoviack , B. Rotenberg , J. -P. Hansen

On a basis of a two-length scale description of hydrophobic interactions we develop a continuous self-consistent theory of solute-water interactions which allows to determine a hydrophobic layer of a solute molecules of any geometry with…

Soft Condensed Matter · Physics 2007-05-23 G. Sitnikov , S. Nechaev , M. Taran , A. Muryshev

Monte Carlo computer simulations are used to study transient cavities and the solvation of hard-spheroid solutes in dipolar hard sphere solvents. The probability distribution of spheroidal cavities in the solvent is shown to be well…

Statistical Mechanics · Physics 2007-05-23 Philip J. Camp

Quasi-equilibrium approximation is a widely used closure approximation approach for model reduction with applications in complex fluids, materials science, etc. It is based on the maximum entropy principle and leads to thermodynamically…

Numerical Analysis · Mathematics 2021-10-19 Shan Jiang , Haijun Yu

The penetrable-square-well (PSW) pair interaction potential is defined as $\phi (r)=\epsilon_r$ if the two interacting particles are overlapped ($r<\sigma$), $\phi(r)=-\epsilon_a$ inside a corona ($\sigma <r<\lambda$), and $\phi(r)=0$…

Soft Condensed Matter · Physics 2019-08-13 José Luis Sánchez-Tena , Andrés Santos , Pablo Pajuelo

Simulated tempering (ST) has attracted a great deal of attention in the last years, due to its capability to allow systems with complex dynamics to escape from regions separated by large entropic barriers. However its performance is…

Statistical Mechanics · Physics 2015-08-11 A. Valentim , Cláudio J. daSilva , Carlos E. Fiore

A simple expression for the composition dependence of the Flory-Huggins interaction parameter of polymer/solvent systems reported earlier is used to model the demixing of polymer solutions into two liquid phases. To this end the system…

Soft Condensed Matter · Physics 2007-05-23 Sergej Stryuk , Bernhard A. Wolf

We study the Kern-Frenkel model for patchy colloids using Barker-Henderson second-order thermodynamic perturbation theory. The model describes a fluid where hard sphere particles are decorated with one patch, so that they interact via a…

Soft Condensed Matter · Physics 2012-03-27 Christoph Gögelein , Flavio Romano , Francesco Sciortino , Achille Giacometti

We investigate Monte Carlo simulation strategies for determining the effective ("depletion") potential between a pair of hard spheres immersed in a dense sea of much smaller hard spheres. Two routes to the depletion potential are…

Soft Condensed Matter · Physics 2015-06-16 D. J. Ashton , V. Sanchez-Gil , N. B. Wilding

A coarse-grained model for solutions of polymers in supercritical fluids is introduced and applied to the system of hexadecane and carbon dioxide as a representative example. Fitting parameters of the model to the gas-liquid critical point…

Soft Condensed Matter · Physics 2009-11-10 P. Virnau , M. Mueller , L. G. MacDowell , K. Binder

Two liquid state theories, the self-consistent Ornstein-Zernike equation (SCOZA) and the hierarchical reference theory (HRT) are shown, by comparison with Monte Carlo simulations, to perform extremely well in predicting the liquid-vapour…

Statistical Mechanics · Physics 2012-07-02 Jean-Michel Caillol , Federica Lo Verso , Elisabeth Scholl-Paschinger , Jean-Jacques Weis

We consider scalar-vector-tensor (SVT) theories with second-order equations of motion and tensor propagation speed equivalent to the speed of light. Under the sub-horizon and the quasi-static approximations we find analytical formulae for…

Cosmology and Nongalactic Astrophysics · Physics 2022-08-30 Wilmar Cardona , J. Bayron Orjuela-Quintana , César A. Valenzuela-Toledo

Mean spherical approximation (MSA), second-order Barker-Henderson (BH) perturbation theory and thermodynamic perturbation theory (TPT) for associating fluids in combination with BH perturbation theory are applied to the study of the…

Soft Condensed Matter · Physics 2015-04-07 R. Melnyk

Histogram-reweighting Monte Carlo simulations were used to obtain polymer / solvent phase diagrams for lattice homopolymers of chain lengths up to r=1000 monomers. The simulation technique was based on performing a series of grand canonical…

Soft Condensed Matter · Physics 2009-10-30 Athanassios Z. Panagiotopoulos , Vicky Wong , M. Antonio Floriano