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Related papers: The orientational structure of a model patchy part…

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Anisotropic patchy particles have become an archetypical statistical model system for associating fluids. Here we formulate an approach to the Kern-Frenkel model via classical density functional theory to describe the positionally and…

Statistical Mechanics · Physics 2024-06-12 Alessandro Simon , Jens Weimar , Georg Martius , Martin Oettel

We present a hybrid scheme based on classical density functional theory and machine learning for determining the equilibrium structure and thermodynamics of inhomogeneous fluids. The exact functional map from the density profile to the…

Soft Condensed Matter · Physics 2023-12-12 Florian Sammüller , Sophie Hermann , Daniel de las Heras , Matthias Schmidt

Density functional theory is used to study colloidal hard-rod fluids near an individual right-angled wedge or edge as well as near a hard wall which is periodically patterned with rectangular barriers. The Zwanzig model, in which the…

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

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

Classical density-functional theory provides an efficient alternative to molecular dynamics simulations for understanding the equilibrium properties of inhomogeneous fluids. However, application of density-functional theory to multi-site…

Computational Physics · Physics 2014-02-14 Ravishankar Sundararaman , T. A. Arias

A simple model is proposed for the direct correlation function (DCF) for simple fluids consisting of a hard-core contribution, a simple parametrized core correction, and a mean-field tail. The model requires as input only the free energy of…

Statistical Mechanics · Physics 2007-10-08 James F. Lutsko

We propose a density functional for anisotropic fluids of hard body particles. It interpolates between the well-established geometrically based Rosenfeld functional for hard spheres and the Onsager functional for elongated rods. We test the…

Materials Science · Physics 2009-11-07 Giorgio Cinacchi , Friederike Schmid

In the present paper we give a brief summary of some recent theoretical advances in the treatment of inhomogeneous fluids and methods which have applications in the study of dynamical properties of liquids in situations of extreme…

Statistical Mechanics · Physics 2015-07-15 Umberto Marini Bettolo Marconi , Simone Melchionna

We investigate and exploit consequences of the recent neural metadensity functional theory [Kampa et al., Phys. Rev. Lett. 134, 107301 (2025), 10.1103/PhysRevLett.134.107301] for describing the physics of inhomogeneous fluids. The…

Soft Condensed Matter · Physics 2026-04-21 Stefanie M. Kampa , Florian Sammüller , Matthias Schmidt

We study thermophysical properties of a Janus fluid with constrained orientations, using analytical techniques and numerical simulations. The Janus character is modeled by means of a Kern-Frenkel potential where each sphere has one…

Soft Condensed Matter · Physics 2013-03-08 Miguel Ángel G. Maestre , Riccardo Fantoni , Achille Giacometti , Andrés Santos

We explore the feasibility of using machine learning methods to obtain an analytic form of the classical free energy functional for two model fluids, hard rods and Lennard--Jones, in one dimension . The Equation Learning Network proposed in…

Soft Condensed Matter · Physics 2020-01-15 Shang-Chun Lin , Georg Martius , Martin Oettel

The excess free energy functional of classical density functional theory depends upon the type of fluid model, specifically on the choice of (pair) potential, is unknown in general, and is approximated reliably only in special cases. We…

Soft Condensed Matter · Physics 2025-03-12 Stefanie M. Kampa , Florian Sammüller , Matthias Schmidt , Robert Evans

A fluid constituted of hard spherocylinders is studied using a density functional theory for non-spherical hard particles, which can be written as a function of weighted densities. This is based on an extended deconvolution of the Mayer…

Soft Condensed Matter · Physics 2015-06-18 René Wittmann , Klaus Mecke

Using Density Functional Theory we theoretically study the orientational properties of uniform phases of hard kites -- two isosceles triangles joined by their common base. Two approximations are used: Scaled Particle Theory, and a new…

Soft Condensed Matter · Physics 2020-11-25 Yuri Martínez-Ratón , Enrique Velasco

A fluid particle changes its dynamics from diffusive to oscillatory as the system density increases up to the melting density. Hence, the notion of the Frenkel line was introduced to demarcate the fluid region into rigid and nonrigid liquid…

Soft Condensed Matter · Physics 2019-05-15 Tae Jun Yoon , Emanuel A. Lazar , Min Young Ha , Won Bo Lee , Youn-Woo Lee

Based on density-functional theory we analyze the full phase diagram, the occurrence of long-ranged orientational order, and the structural properties of dipolar fluids. As a model system we consider the Stockmayer fluid that consists of…

Soft Condensed Matter · Physics 2009-09-25 B. Groh , S. Dietrich

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 fundamental measure approach to classical density functional theory has been shown to be a powerful tool to predict various thermodynamic properties of hard-sphere systems. We employ this approach to determine not only one-particle…

Soft Condensed Matter · Physics 2015-11-02 Andreas Härtel , Matthias Kohl , Michael Schmiedeberg

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

We use supervised machine learning together with the concepts of classical density functional theory to investigate the effects of interparticle attraction on the pair structure, thermodynamics, bulk liquid-gas coexistence, and associated…

Soft Condensed Matter · Physics 2025-01-29 Florian Sammüller , Matthias Schmidt , Robert Evans
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