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We show that to account for the full spectrum of surface fluctuations from low scattering vector qd << 1 (classical capillary wave theory) to high qd > 1 (bulk-like fluctuations), one must take account of the interface's bending rigidity at…

软凝聚态物质 · 物理学 2009-11-13 Edgar M. Blokhuis

Using the Jacobian matrix, we obtain theoretical expression of rigidity and the density of states of two-dimensional amorphous solids consisting of frictional grains in the linear response to an infinitesimal strain, in which we ignore the…

软凝聚态物质 · 物理学 2023-05-16 Daisuke Ishima , Kuniyasu Saitoh , Michio Otsuki , Hisao Hayakawa

As a first step towards a microscopic understanding of the effective interaction between colloidal particles suspended in a solvent we study the wetting behavior of one-component fluids at spheres and fibers. We describe these phenomena…

凝聚态物理 · 物理学 2015-06-25 T. Bieker , S. Dietrich

Consideration is given to the KdV equation as an approximate model for long waves of small amplitude at the free surface of an inviscid fluid. It is shown that there is an approximate momentum density associated to the KdV equation, and the…

数学物理 · 物理学 2018-08-21 Samer Israwi , Henrik Kalisch

Volume integrals over the radial pair-distribution function, so-called Kirkwood-Buff integrals (KBI) play a central role in the theory of solutions, by linking structural with thermodynamic information. The simplest example is the…

统计力学 · 物理学 2021-06-09 Peter Krüger

We derive exact density functionals for systems of hard rods with first-neighbor interactions of arbitrary shape but limited range on a one-dimensional lattice. The size of all rods is the same integer unit of the lattice constant. The…

统计力学 · 物理学 2013-12-17 Benaoumeur Bakhti , Gerhard Müller , Philipp Maass

We study the density-density correlation function $G({\bf r},{\bf r}')$ in the interfacial region of a fluid (or Ising-like magnet) with short-ranged interactions using square gradient density functional theory. Adopting a simple double…

统计力学 · 物理学 2015-06-19 A. O. Parry , C. Rascón , G. Willis , R. Evans

Shear viscosity measures the amount of internal friction in a simple fluid. In kinetic theory shear viscosity is related to momentum transport by quasi-particles, and the uncertainty relation implies that the ratio of shear viscosity eta to…

流体动力学 · 物理学 2010-01-15 Thomas Schaefer

We investigate the equilibrium of a fluid in contact with a solid boundary through a density-functional theory. Depending on the conditions, the fluid can be in one phase, gas or liquid, or two phases, while the wall induces an external…

流体动力学 · 物理学 2012-02-06 Antonio Pereira , Serafim Kalliadasis

A combination of fundamental measure density functional theory and Monte Carlo computer simulation is used to determine the orientation-resolved interfacial tension and stiffness for the equilibrium hard-sphere crystal-fluid interface.…

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…

统计力学 · 物理学 2015-07-15 Umberto Marini Bettolo Marconi , Simone Melchionna

The contribution to the free energy for a film of liquid of thickness $h$ on a solid surface, due to the interactions between the solid-liquid and liquid-gas interfaces is given by the binding potential, $g(h)$. The precise form of $g(h)$…

软凝聚态物质 · 物理学 2015-07-08 Adam P. Hughes , Uwe Thiele , Andrew J. Archer

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…

统计力学 · 物理学 2008-08-20 James F. Lutsko

The contact values $g(\sigma,\sigma')$ of the radial distribution functions of a fluid of (additive) hard spheres with a given size distribution $f(\sigma)$ are considered. A ``universality'' assumption is introduced, according to which, at…

统计力学 · 物理学 2007-05-23 A. Santos , S. B. Yuste , M. Lopez de Haro

The contribution of sliding-induced, atomic-scale instabilities to the kinetic friction force is investigated by molecular dynamics. For this purpose, we derive a relationship between the kinetic friction force $F_{\rm k}$ and the…

统计力学 · 物理学 2009-11-10 Martin Aichele , Martin H. Muser

Sessile hydrogel drops on rigid surfaces exhibit wetting/contact morphology intermediate between liquid drops and glass spheres. Using density functional theory, we reveal the contact forces acting between a hydrogel and a rigid glass…

软凝聚态物质 · 物理学 2023-08-30 Priyam Chakraborty , Surjyasish Mitra , A-Reum Kim , Boxin Zhao , Sushanta K. Mitra

Wavefunction structure is analyzed for dense interacting many-boson systems using Hamiltonian $H$, which is a sum of one-body $h(1)$ and an embedded GOE of $k$-body interaction $V(k)$ with strength $\lambda$. In the first analysis, a…

统计力学 · 物理学 2021-04-07 Priyanka Rao , N. D. Chavda

he contact angle of a liquid droplet on a surface under partial wetting conditions differs for a nanoscopically rough or periodically corrugated surface from its value for a perfectly flat surface. Wenzel's relation attributes this…

软凝聚态物质 · 物理学 2020-06-24 Sergei A. Egorov , Kurt Binder

We examine statics and dynamics of phase-separated states of dilute binary mixtures using density functional theory. In our systems, the difference in the salvation chemical potential $\Delta\mu_s$ between liquid and gas is considerably…

软凝聚态物质 · 物理学 2016-05-13 Ryuichi Okamoto , Akira Onuki

A density functional theory of two-dimensional freezing is presented for a soft interaction potential that scales as inverse cube of particle distance. This repulsive potential between parallel, induced dipoles is realized for paramagnetic…

软凝聚态物质 · 物理学 2009-05-28 Sven van Teeffelen , Christos N. Likos , Norman Hoffmann , Hartmut Löwen
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