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Related papers: Density Functional for Anisotropic Fluids

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The Rosenfeld functional provides excellent results for the prediction of the fluid phase of hard convex particle systems but fails beyond the freezing point. The reason for this limitation is the neglect of orientational and distance…

Statistical Mechanics · Physics 2012-08-21 Stephan Korden

Patterned surfaces with large effective slip lengths, such as super-hydrophobic surfaces containing trapped gas bubbles, have the potential to greatly enhance electrokinetic phenomena. Existing theories assume either homogeneous flat…

Fluid Dynamics · Physics 2015-05-13 Supreet S. Bahga , Olga I. Vinogradova , Martin Z. Bazant

We present a brief review of the classical density functional theory of atomic and molecular fluids. We focus on the application of the theory to the determination of the solvation properties of arbitrary molecular solutes in arbitrary…

Chemical Physics · Physics 2015-04-06 Guillaume Jeanmairet , Maximilien Levesque , Volodymyr Sergiievskyi , Daniel Borgis

In the spirit of the White-Bear version of fundamental measure theory we derive a new density functional for hard-sphere mixtures which is based on a recent mixture extension of the Carnahan-Starling equation of state. In addition to the…

Soft Condensed Matter · Physics 2009-11-11 Hendrik Hansen-Goos , Roland Roth

Inertial lift forces are exploited within inertial microfluidic devices to position, segregate, and sort particles or droplets. However the forces and their focusing positions can currently only be predicted by numerical simulations, making…

Fluid Dynamics · Physics 2016-07-21 Kaitlyn Hood , Sungyon Lee , Marcus Roper

Time-dependent density functional theory is extended to include dissipative systems evolving under a master equation, providing a Hamiltonian treatment for molecular electronics. For weak electric fields, the isothermal conductivity is…

Materials Science · Physics 2007-05-23 Kieron Burke , Roberto Car , Ralph Gebauer

In a recent article, we showed how the properties of the density-density correlation function and its integral, the local structure factor, in the fluid interfacial region, in systems with short-ranged forces, can be understood…

Soft Condensed Matter · Physics 2019-11-20 Andrew O. Parry , Carlos Rascón

Anisotropic fluids appear in a diverse array of systems, from liquid-crystal displays to bacterial swarms, and are characterized by orientational order. Large colloidal particles immersed in such environments disturb the medium's…

Soft Condensed Matter · Physics 2025-01-03 Thomas G. J. Chandler , Saverio E. Spagnolie

In this paper, starting from the Born-Green-Yvon (BGY) equation, we derive a general expression for the contact value of the singlet distribution function near a hard wall for anisotropic fluids. This relation includes two separate…

Soft Condensed Matter · Physics 2022-11-16 M. Holovko , D. di Caprio

In this paper, a statistical physical derivation of thermodynamically consistent fluid mechanical equations is presented for non-isothermal viscous molecular fluids. The coarse-graining process is based on (i) the adiabatic expansion of the…

Statistical Mechanics · Physics 2024-04-18 Gyula I. Tóth

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

In equilibrium hard-rod fluids, and in effective hard-rod descriptions of anisotropic soft-particle systems, the transition from the isotropic (I) phase to the nematic phase (N) is observed above the rod aspect ratio L/D = 3.70 as predicted…

Soft Condensed Matter · Physics 2023-02-22 Jayeeta Chattopadhyay , Sriram Ramaswamy , Chandan Dasgupta , Prabal K. Maiti

In this paper we formulate a nonlocal density functional theory of inhomogeneous water. We model a water molecule as a couple of oppositely charged sites. The negatively charged sites interact with each other through the Lennard-Jones…

Soft Condensed Matter · Physics 2020-08-26 Yu. A. Budkov , A. L. Kolesnikov

We construct a phenomenological Landau-de Gennes theory for hard colloidal rods by performing an order parameter expansion of the chemical-potential dependent grand potential. By fitting the coefficients to known results of Onsager theory,…

Soft Condensed Matter · Physics 2016-05-20 Jeffrey Everts , Melle Punter , Sela Samin , Paul van der Schoot , René van Roij

We study exact solutions of the Einstein-Maxwell equations for the interior gravitational field of static spherically symmetric charged compact spheres. The spheres consist of an anisotropic fluid with a charge distribution that gives rise…

General Relativity and Quantum Cosmology · Physics 2022-02-18 Krsna Dev

Purely entropic systems such as suspensions of hard rods, platelets and spheres show rich phase behavior. Rods and platelets have successfully been used as models to predict the equilibrium properties of liquid crystals for several decades.…

Soft Condensed Matter · Physics 2015-06-16 T. Schilling , S. Dorosz , M. Radu , M. Mathew , S. Jungblut , K. Binder

We perform extensive molecular dynamics simulations of dense liquids composed of bidisperse dimer- and ellipse-shaped particles in 2D that interact via repulsive contact forces. We measure the structural relaxation times obtained from the…

Soft Condensed Matter · Physics 2015-06-05 Tianqi Shen , Carl Schreck , Bulbul Chakraborty , Denise E. Freed , Corey S. O'Hern

Using the classical density functional theory of freezing and Monte Carlo computer simulations, we explore the liquid-crystalline phase behavior of hard rectangles on flat and cylindrical manifolds. Moreover, we study the effect of a static…

Soft Condensed Matter · Physics 2018-02-19 Christoph E. Sitta , Frank Smallenburg , Raphael Wittkowski , Hartmut Löwen

Anisotropic thermoelectrics is a very interesting topic among recent research. The transport distribution function plays the central role on modeling the anisotropic thermoelectrics. The methodology of numerical integrations is used in…

Materials Science · Physics 2015-06-19 Shuang Tang , Mildred Dresselhaus

Hard spheres are a central and important model reference system for both homogeneous and inhomogeneous fluid systems. In this paper we present new high-precision molecular-dynamics computer simulations for a hard sphere fluid at a planar…

Statistical Mechanics · Physics 2016-03-23 R. L. Davidchack , B. B. Laird , R. Roth