English
Related papers

Related papers: Density Profiles and Direct Correlation Functions …

200 papers

We perform particle resolved experimental studies on the heterogeneous crystallisation process of two compo- nent mixtures of hard spheres. The components have a size ratio of 0.39. We compared these with molecular dynamics simulations of…

Soft Condensed Matter · Physics 2017-10-25 I. Ríos de Anda , F. Turci , R. Sear , C. P. Royall

The derivation of the state of the art tensorial versions of Fundamental Measure Theory (a form of classical Density Functional Theory for hard spheres) are re-examined in the light of the recently introduced concept of global stability of…

Statistical Mechanics · Physics 2021-01-04 James F. Lutsko

We consider binary mixtures of soft repulsive spherical particles and calculate the depletion interaction between two big spheres mediated by the fluid of small spheres, using different theoretical and simulation methods. The validity of…

We show that the formal procedure of integrating out the degrees of freedom of the small spheres in a binary hard-sphere mixture works equally well for non-additive as it does for additive mixtures. For highly asymmetric mixtures (small…

Soft Condensed Matter · Physics 2009-11-07 R. Roth , R. Evans , A. A. Louis

Two-dimensional mixtures of dipolar colloidal particles with different dipole moments exhibit extremely rich self-assembly behaviour and are relevant to a wide range of experimental systems, including charged and super-paramagnetic colloids…

Soft Condensed Matter · Physics 2019-04-16 W. R. C. Somerville , J. L. Stokes , A. M. Adawi , T. S. Horozov , A. J. Archer , D. M. A. Buzza

We investigate the value of the correlation function of an inhomogeneous hard-sphere fluid at contact. This quantity plays a critical role in Statistical Associating Fluid Theory (SAFT), which is the basis of a number of recently developed…

Soft Condensed Matter · Physics 2013-09-10 Jeff Schulte , Patrick Kreitzberg , Chris Haglund , David Roundy

The standard model of classical Density Functional Theory for pair potentials consists of a hard-sphere functional plus a mean-field term accounting for long ranged attraction. However, most implementations using sophisticated Fundamental…

Computational Physics · Physics 2021-01-04 James F. Lutsko , Cédric Schoonen

We use a geometric method to derive (two-dimensional) separation functions amongst pairs of objects within populations of specified position function $\mathrm{d} N/\mathrm{d} \vec{R}$. We present analytic solutions for separation functions…

Astrophysics of Galaxies · Physics 2022-04-20 Christopher Kervick , Matthew G. Walker , Jorge Peñarrubia , Sergey E. Koposov

It has recently been shown that a free energy for Baxter's sticky hard sphere fluid is uniquely defined within the framework of fundamental measure theory (FMT) for the inhomogeneous hard sphere fluid, provided that it obeys scaled-particle…

Soft Condensed Matter · Physics 2015-06-03 Hendrik Hansen-Goos , Mark A. Miller , J. S. Wettlaufer

Based on fundamental measure theory, a Helmholtz free energy density functional for three-component mixtures of hard spheres with general, non-additive interaction distances is constructed. The functional constitutes a generalization of the…

Soft Condensed Matter · Physics 2011-09-28 Matthias Schmidt

The stability of a quasicrystalline structure, recently obtained in a molecular-dynamics simulation of rapid cooling of a binary melt, is analyzed for binary hard-sphere mixtures within a density-functional approach. It is found that this…

Materials Science · Physics 2017-02-08 H. M. Cataldo

Simple parameter-free analytic bias functions for the two-point correlation of densities in spheres at large separation are presented. These bias functions generalize the so-called Kaiser bias to the mildly non-linear regime for arbitrary…

Cosmology and Nongalactic Astrophysics · Physics 2017-05-19 C. Uhlemann , S. Codis , J. Kim , C. Pichon , F. Bernardeau , D. Pogosyan , C. Park , B. L'Huillier

Interfaces between demixed fluid phases of binary mixtures of hard platelets are investigated using density-functional theory. The corresponding excess free energy functional is calculated within a fundamental measure theory adapted to the…

Soft Condensed Matter · Physics 2011-09-14 M. Bier , L. Harnau , S. Dietrich

The equilibrium density profiles in a classical multicomponent plasma near a hard wall made with a dielectric material characterized by a relative dielectric constant $\ew$ are studied from the first Born-Green-Yvon equation combined with…

Statistical Mechanics · Physics 2007-05-23 Jean-Noel Aqua , Francoise Cornu

We examine, using molecular dynamics simulation, the structure and thermodynamics of the (100) and (111) disordered face-centered cubic (FCC) crystal/melt interfaces for a binary hard-sphere system. This study is an extension of our…

Statistical Mechanics · Physics 2009-10-31 Ruslan L. Davidchack , Brian. B. Laird

In this paper we use computer simulations to examine point defects in systems of "soft" colloidal particles including Hertzian spheres, and star polymers. We use Monte Carlo simulations to determine the deformation of the different crystals…

Soft Condensed Matter · Physics 2021-04-15 Marjolein de Jager , Joris de Jong , Laura Filion

Using fully minimized fundamental measure functionals, we investigate free energies, vacancy concentrations and density distributions for bcc, fcc and hcp hard-sphere crystals. Results are complemented by an approach due to Stillinger which…

Soft Condensed Matter · Physics 2013-08-09 Mohammad Hossein Yamani , Martin Oettel

Using Molecular Dynamics (MD) and Monte Carlo (MC) simulations interfacial properties of crystal-fluid interfaces are investigated for the hard sphere system and the one-component metallic system Ni (the latter modeled by a potential of the…

Materials Science · Physics 2015-05-13 T. Zykova-Timan , R. E. Rozas , J. Horbach , K. Binder

Dynamical signatures are known to precede jamming in hard-particle systems, but static structural signatures have proven more elusive. The observation that compressing hard-particle packings towards jamming causes growing hyperuniformity…

Statistical Mechanics · Physics 2016-09-21 Steven Atkinson , Frank H. Stillinger , Salvatore Torquato

The freezing transition of hard spheres has been well described by various versions of density-functional theory (DFT). These theories should possess the close-packed crystal as a special limit, which represents an extreme testing ground…

Soft Condensed Matter · Physics 2009-10-31 Benito Groh , Bela Mulder