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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

As is well known, one-dimensional systems with interactions restricted to first nearest neighbors admit a full analytically exact statistical-mechanical solution. This is essentially due to the fact that the knowledge of the first…

Soft Condensed Matter · Physics 2017-11-20 Riccardo Fantoni , Andrés Santos

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

The structural and thermodynamic properties of fluids whose molecules interact via potentials with a hard-core plus a square well, a square shoulder, and a second square well, are considered. Those properties are derived by using a…

Soft Condensed Matter · Physics 2022-08-09 Santos B. Yuste , Andrés Santos , Mariano López de Haro

We propose a new type of effective densities via the potential distribution theorem. These densities are for the sake of enabling the mapping of the free energy of a uniform fluid onto that of a nonuniform fluid. The potential distribution…

Soft Condensed Matter · Physics 2012-02-21 L. L. Lee , G. Pellicane

We study the thermodynamic and structural properties of a simple, one-patch fluid model using the reference hypernetted-chain (RHNC) integral equation and specialized Monte Carlo simulations. In this model, the interacting particles are…

Soft Condensed Matter · Physics 2015-05-14 Achille Giacometti , Fred Lado , Julio Largo , Giorgio Pastore , Francesco Sciortino

We introduce a novel approach to simulate the interaction between fluids and thin elastic solids without any penetration. Our approach is centered around an optimization system augmented with barriers, which aims to find a configuration…

Graphics · Computer Science 2026-05-04 Yuchen Sun , Jinyuan Liu , Yin Yang , Chenfanfu Jiang , Minchen Li , Bo Zhu

The Ornstein-Zernike equation is solved for the hard-sphere and square-well fluids using a diverse selection of closure relations; the attraction range of the square-well is chosen to be $\lambda=1.5.$ In particular, for both fluids we…

Statistical Mechanics · Physics 2022-07-20 Edwin Bedolla , Luis Carlos Padierna , Ramón Castañeda-Priego

We have performed extensive Monte Carlo simulations in the canonical (NVT) ensemble of the pair correlation function for square-well fluids with well widths $\lambda-1$ ranging from 0.1 to 1.0, in units of the diameter $\sigma$ of the…

Statistical Mechanics · Physics 2007-05-23 J. Largo , J. R. Solana , S. B. Yuste , A. Santos

In this work, we consider the interaction of a 3D incompressible fluid with a 2D flexible shell that occupies (a part of) the boundary of the fluid domain. We assume that the shell is perfectly elastic while the fluid is governed by the…

Analysis of PDEs · Mathematics 2026-05-15 Dominic Breit , Prince Romeo Mensah , Sebastian Schwarzacher , Pei Su

The statistical-mechanical study of the equilibrium properties of fluids, starting from the knowledge of the interparticle interaction potential, is essential to understand the role that microscopic interaction between individual particles…

Soft Condensed Matter · Physics 2025-10-07 Ana M. Montero

We study, by using liquid-state theories and Monte Carlo simulation, the behavior of systems of classical particles interacting through a finite pair repulsion supplemented with a longer range attraction. Any such potential can be driven…

Soft Condensed Matter · Physics 2018-04-27 Gianpietro Malescio , Alberto Parola , Santi Prestipino

The focus of the present work is the application of the random phase approximation (RPA), derived for inhomogeneous fluids [Frydel and Ma, Phys. Rev. E 93, 062112 (2016)], to penetrable-spheres. As penetrable-spheres transform into…

Statistical Mechanics · Physics 2017-05-17 Yan Xiang , Derek Frydel

Penetrable Square Wells in one dimension were introduced for the first time in [A. Santos et. al., Phys. Rev. E, 77, 051206 (2008)] as a paradigm for ultra-soft colloids. Using the Kastner, Schreiber, and Schnetz theorem [M. Kastner, Rev.…

Statistical Mechanics · Physics 2010-09-02 Riccardo Fantoni

We review the nature of glass transitions and the glasses arising from a square-well potential with a narrow and deep well. Our discussion is based on the Mode Coupling Theory, and the predictions of glasses that we make refer to the…

Soft Condensed Matter · Physics 2009-10-31 E. Zaccarelli , G. Foffi , K. A. Dawson , F. Sciortino , P. Tartaglia

We present an extension of our recently introduced molecular density functional theory of water [G. Jeanmairet et al., J. Phys. Chem. Lett. 4, 619, 2013] to the solvation of hydrophobic solutes of various sizes, going from angstroms to…

Chemical Physics · Physics 2013-10-21 Guillaume Jeanmairet , Maximilien Levesque , Daniel Borgis

The phase behavior of hard-sphere particles interacting with a short-ranged potential is studied in the limit of infinite space dimensionality via the Franz-Parisi approach and the replica method of disordered systems. For an attractive…

Disordered Systems and Neural Networks · Physics 2013-09-17 Mauro Sellitto , Francesco Zamponi

Molecular dynamics simulations are carried out to investigate the diffusion behavior of penetrable-sphere model fluids characterized by a finite energy barrier $\epsilon$. The self-diffusion coefficient is evaluated from the time-dependent…

Soft Condensed Matter · Physics 2010-11-22 Soong-Hyuck Suh , Chun-Ho Kim , Soon-Chul Kim , Andrés Santos

Phase transitions in one-dimensional classical fluids are usually ruled out by making appeal to van Hove's theorem. A way to circumvent the conclusions of the theorem is to consider an interparticle potential that is everywhere bounded.…

Soft Condensed Matter · Physics 2015-09-09 S. Prestipino , D. Gazzillo , N. Tasinato

Hard spheres with an attraction of range a tenth to a hundredth of the sphere diameter are constrained to remain fluid even at densities when monodisperse particles at equilibrium would have crystallised, in order to compare with…

Soft Condensed Matter · Physics 2009-10-31 Richard P. Sear