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The molecular density functional theory of fluids provides an exact theory for computing solvation free energies in implicit solvents. One of the reasons it has not received nearly as much attention as quantum density functional theory for…

Statistical Mechanics · Physics 2019-02-04 David M. Rogers

We analyze the large scale structure and fluctuations of jammed packings of size disperse spheres, produced in a granular experiment as well as numerically. While the structure factor of the packings reveals no unusual behavior for small…

Statistical Mechanics · Physics 2011-06-01 Ludovic Berthier , Pinaki Chaudhuri , Corentin Coulais , Olivier Dauchot , Peter Sollich

The conditions of multi-phase equilibrium are solved for generic polydisperse systems. The case of multiple polydispersity is treated, where several properties (e.g. size, charge, shape) simultaneously vary from one particle to another. By…

Statistical Mechanics · Physics 2009-10-31 R. M. L. Evans

We report a Grand Canonical Monte Carlo simulation study of the liquid-vapor interface of a model fluid exhibiting polydispersity in terms of the particle size $\sigma$. The bulk density distribution, $\rho^0(\sigma)$, of the system is…

Soft Condensed Matter · Physics 2009-11-11 Matteo Buzzacchi , Nigel B. Wilding

We consider the evolution of a family of 2D dispersive turbulence models. The members of this family involve the nonlinear advection of a dynamically active scalar field, the locality of the streamfunction-scalar relation is denoted by…

Fluid Dynamics · Physics 2009-02-20 Jai Sukhatme , Leslie M. Smith

In a continuing effort to understand divergences which occur when quantum fields are confined by bounding surfaces, we investigate local energy densities (and the local energy-momentum tensor) in the vicinity of a wall. In this paper,…

High Energy Physics - Theory · Physics 2013-05-29 Kimball A. Milton

The self-diffusion process of a hard sphere fluid confined by two parallel plates separated by a distance on the order of the particle diameter is studied. The starting point is a closed kinetic equation for the distribution function that…

Statistical Mechanics · Physics 2025-10-24 Manuel Mayo , María Isabel García de Soria , Pablo Maynar , José Javier Brey

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

We study the hydrodynamic coupling between particles and solid, rough boundaries characterized by random surface textures. Using the Lorentz reciprocal theorem, we derive analytical expressions for the grand mobility tensor of a spherical…

Fluid Dynamics · Physics 2020-08-27 Christina Kurzthaler , Lailai Zhu , Amir A. Pahlavan , Howard A. Stone

The collision dynamics of hard spheres and cylindrical pores is solved exactly, which is the minimal model for a regularly porous membrane. Nonequilibrium event-driven molecular dynamics simulations are used to show that the permeability…

Soft Condensed Matter · Physics 2021-04-23 Yue Yu , Kai Zhang

The onset of condensation of hard spheres in a gravitational field is studied using density functional theory. In particular, we find that the local density approximation yields results identical to those obtained previously using the…

Statistical Mechanics · Physics 2009-11-07 Joseph A. Both , Daniel C. Hong

Both polydispersity and the presence of a gravitational field are inherent to essentially any colloidal experiment. While several theoretical works have focused on the effect of polydispersity on the bulk phase behavior of a colloidal…

Soft Condensed Matter · Physics 2022-12-28 Tobias Eckert , Matthias Schmidt , Daniel de las Heras

Colloidal particles that are confined to an interface such as the air-water interface are an example of a two-dimensional fluid. Such dispersions have been observed to spontaneously form cluster and stripe morphologies in certain systems…

Soft Condensed Matter · Physics 2008-09-17 A. J. Archer

An exact description is provided of an almost spherical fluid vesicle with a fixed area and a fixed enclosed volume locally deformed by external normal forces bringing two nearby points on the surface together symmetrically. The conformal…

Soft Condensed Matter · Physics 2013-04-17 Jemal Guven , Pablo Vázquez-Montejo

We consider a system of spherical colloidal particles with a size polydispersity and use a simple van der Waals description in order to study the combined effect of both the polydispersity and the spatial non-uniformity induced by a planar…

Statistical Mechanics · Physics 2009-11-07 L. Bellier-Castella , H. Xu , M. Baus

The work described is concerned with the way micron-size particles attached to a surface are resuspended when exposed to a turbulent flow. An improved version of the Rock'n'Roll model (Reeks and Hall, 2001) is developed where this model…

Fluid Dynamics · Physics 2013-01-15 F. Zhang , M. Reeks , M. Kissane

Flowing granular materials segregate due to differences in particle size (driven by percolation) and density (driven by buoyancy). Modelling the segregation of mixtures of large/heavy particles and small/light particles is challenging due…

Soft Condensed Matter · Physics 2021-05-18 Yifei Duan , Paul B. Umbanhowar , Julio M. Ottino , Richard M. Lueptow

We study the theoretical phase behavior of an asymmetric binary mixture of hard spheres, of which the smaller component is monodisperse and the larger component is polydisperse. The interactions are modeled in terms of the second virial…

Statistical Mechanics · Physics 2019-12-09 Luka Sturtewagen , Erik van der Linden

A model polydisperse fluid represents many real fluids such as colloidal suspensions and polymer solutions. In this study, considering a concentrated size-polydisperse hard sphere fluid with size derived from two different distribution…

Soft Condensed Matter · Physics 2022-11-23 Thokchom Premkumar Meitei , Lenin S. Shagolsem

Large scale features of a randomly isotropically forced incompressible and unbounded rotating fluid are examined in perturbation theory. At first order in both the random force amplitude and the angular velocity we find two types of…

Fluid Dynamics · Physics 2009-11-10 Jose Gaite , David Hochberg , Carmen Molina-Paris