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In this work I derive analytic expressions for the curvature dependent fluid-substrate surface tension of a hard sphere fluid on a hard curved wall. In a first step, the curvature thermodynamic properties are found as truncated power series…

Soft Condensed Matter · Physics 2014-04-23 Ignacio Urrutia

A kinetic equation for a dilute gas of hard spheres confined between two parallel plates separated a distance smaller than two particle dimeters is derived. It is a Boltzmann-like equation, which incorporates the effect of the confinement…

Statistical Mechanics · Physics 2016-11-23 J. Javier Brey , P. Maynar , M. I. García de Soria

Virial coefficients for the two-dimensional hard-disk fluid, when expressed in powers of density relative to maximum close packing, lead to an accurate closed equation-of-state for the equilibrium fluid, analogous to that recently found for…

Statistical Mechanics · Physics 2008-04-07 Leslie V. Woodcock

Using the orthonormality of the 2D-Zernike polynomials, reproducing kernels, reproducing kernel Hilbert spaces, and ensuring coherent states attained. With the aid of the so-obtained coherent states, the complex unit disc is quantized.…

Mathematical Physics · Physics 2015-01-08 K. Thirulogasanthar , Nasser Saad , G. Honnouvo

In this work, we perform numerical simulations of forced two-phase isotropic turbulence to study the stationary states of a two-phase mixture. We first formulate three different approaches to force a two-phase turbulent flow that maintains…

Fluid Dynamics · Physics 2025-04-08 Suhas S Jain , Ahmed Elnahhas

Explicit simulations of fluid mixtures of highly size-dispersed particles are constrained by numerical challenges associated with identifying pair-interaction neighbors. Recent algorithmic developments have ameliorated these difficulties to…

Soft Condensed Matter · Physics 2022-12-07 Joseph M. Monti , Gary S. Grest

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

Starting from Enskog equation of hard spheres of mass m and diameter D under the gravity g, we first derive the exact equation of motion for the equilibrium density profile at a temperature T and examine its solutions via the gradient…

Statistical Mechanics · Physics 2009-10-31 Daniel C. Hong

We investigate theoretically the nonlinear state of ideal straight rolls in the Rayleigh-B\'enard system of a fluid layer heated from below with a porous medium using a Galerkin method. Applying the Oberbeck-Boussinesq approximation, binary…

Fluid Dynamics · Physics 2015-05-14 Rudolf Umla , Matthias Augustin , Bjoern Huke , Manfred Luecke

The structural properties of single component fluids of hard hyperspheres in odd space dimensionalities $d$ are studied with an analytical approximation method that generalizes the Rational Function Approximation earlier introduced in the…

Statistical Mechanics · Physics 2011-11-10 Rene D. Rohrmann , Andres Santos

The Boltzmann kinetic theory for a model of a confined quasi-two dimensional granular mixture derived previously [Garz\'o, Brito and Soto, Phys. Fluids \textbf{33}, 023310 (2021)] is considered further to analyze two different problems.…

Soft Condensed Matter · Physics 2024-03-07 Vicente Garzó , Ricardo Brito , Rodrigo Soto

We study exact solutions of the Einstein-Maxwell equations for the interior gravitational field of static spherically symmetric charged compact spheres. The spheres are composed of a perfect fluid with a charge distribution that creates a…

General Relativity and Quantum Cosmology · Physics 2022-02-17 Krsna Dev

We examine the structural and dynamic properties of confined binary hard-sphere mixtures designed to mimic realizable colloidal thin films. Using computer simulations, governed by either Newtonian or overdamped Langevin dynamics, together…

Soft Condensed Matter · Physics 2015-05-01 Jonathan A. Bollinger , Avni Jain , James Carmer , Thomas M. Truskett

Elastic properties and internal states of isotropic sphere packings are studied by numerical simulations. Several numerical protocols to assemble dense configurations are compared. One, which imitates experiments with lubricated contacts,…

Materials Science · Physics 2009-01-16 Ivana Agnolin , Jean-Noël Roux

The structure of solid oxygen has been studied at pressures from 50 to 140~GPa using static structure search methods and molecular dynamics simulations with density functional theory and a hybrid exchange functional. Several crystalline…

Materials Science · Physics 2023-09-26 Sabri F. Elatresh , V. Askarpour , S. A. Bonev

A rigorous free energy model for ternary fluid flows with density ratio up to of order $O(10^3)$ is presented and implemented using the entropic lattice Boltzmann scheme. The model is thermodynamically consistent and allows a broad range of…

Using projector augmented wave approach within the generalized gradient approximation, we have studied the structural property and electronic structure of ZrB12. The calculated lattice constants and bulk modulus are in good agreement with…

Materials Science · Physics 2007-05-23 Z. F. Hou

A binary mixture made of heavy and light inelastic hard spheres in the free cooling state is considered. First, the regions in the parameter space where the partial granular temperature of the heavy species is larger (or smaller) than that…

Statistical Mechanics · Physics 2007-08-30 Andres Santos , James W. Dufty

We experimentally investigate the statistical behaviour of a model two-dimensional granular system undergoing stationary sedimentation. Buoyant cylindrical particles are rotated in liquid-filled drum, thus confined in a harmonic centripetal…

Soft Condensed Matter · Physics 2019-05-01 Nariaki Sakaï , Sébastien Moulinet , Frédéric Lechenault , Mokhtar Adda-Bedia

We use molecular dynamics simulations to test integral equation theory predictions for the structure of fluids of spherical particles with eight different piecewise-constant pair interaction forms comprising a hard core and a combination of…

Soft Condensed Matter · Physics 2015-05-01 Kyle B. Hollingshead , Thomas M. Truskett