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We perform systematic simulation experiments on model systems with soft-sphere repulsive interactions to test the predicted dynamic equivalence between soft-sphere liquids with similar static structure. For this we compare the simulated…

In recent years, a number of dynamical density functional theories (DDFTs) have been developed for describing the dynamics of the one-body density of both colloidal and atomic fluids. In the colloidal case, the particles are assumed to have…

Soft Condensed Matter · Physics 2009-08-10 A. J. Archer

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

Within the framework of mode-coupling theory, we present a simple model for describing dense assemblies of active (self-propelled) spherical colloidal particles. For isotropic suspensions, we demonstrate that the glass transition is shifted…

Soft Condensed Matter · Physics 2014-03-10 T. F. F. Farage , J. M. Brader

Stiff forces, which bind objects together or otherwise confine motion, are found widely in soft-matter systems - colloids with short range attractions, ligand-receptor contacts, particles in optical traps, fibres that resist stretching,…

Soft Condensed Matter · Physics 2026-01-15 Sophie Marbach , Adam Carter , Miranda Holmes-Cerfon

We present a mesoscopic hydrodynamic description of the dynamics of colloidal suspensions. We consider the system as a gas of Brownian particles suspended in a Newtonian heat bath subjected to stationary non-equilibrium conditions imposed…

Statistical Mechanics · Physics 2009-11-11 S. I. Hernandez , I. Santamaria-Holek , Carlos I. Mendoza , L. F. del Castillo

The traction on the surface of a spherical active colloid in a thermally fluctuating Stokesian fluid contains passive, active, and Brownian contributions. Here we derive these three parts systematically, by "projecting out" the fluid using…

Soft Condensed Matter · Physics 2017-09-11 Rajesh Singh , R. Adhikari

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

Dynamical polydispersity in single-particle properties, for example a fluctuating particle size, shape, charge density, etc., is intrinsic to responsive colloids (RCs), such as biomacromolecules or microgels, but is typically not resolved…

Soft Condensed Matter · Physics 2021-05-26 Upayan Baul , Joachim Dzubiella

The nonlinear rheological properties of dense colloidal suspensions under steady shear are discussed within a first principles approach. It starts from the Smoluchowski equation of interacting Brownian particles in a given shear flow,…

Soft Condensed Matter · Physics 2008-10-15 Matthias Fuchs

Within the Replica Symmetry Breaking (RSB) framework developed by M.Mezard and G.Parisi we investigate the occurrence of structural glass transitions in a model of fluid characterized by hard sphere repulsion together with short range…

Statistical Mechanics · Physics 2009-11-11 A. Velenich , A. Parola , L. Reatto

We aim to clarify confusions in the literature as to whether or not dynamical density functional theories for the one-body density of a classical Brownian fluid should contain a stochastic noise term. We point out that a stochastic as well…

Statistical Mechanics · Physics 2007-05-23 Andrew J. Archer , Markus Rauscher

We perform detailed computational and experimental measurements of the driven dynamics of a dense, uniform suspension of sedimented microrollers driven by a magnetic field rotating around an axis parallel to the floor. We develop a…

Soft Condensed Matter · Physics 2020-07-03 Brennan Sprinkle , Ernest B. van der Wee , Yixiang Luo , Michelle Driscoll , Aleksandar Donev

A van der Waals (vdW) density functional was implemented in the mixed basis approach previously developed for studying two dimensional systems, in which the vdW interaction plays an important role. The basis functions here are taken to be…

Computational Physics · Physics 2017-12-27 Chung-Yuan Ren , Yia-Chung Chang , Chen-Shiung Hsue

We study the collective dynamics of colloidal suspensions in the presence of a time-dependent potential, by means of dynamical density functional theory. We consider a non-linear diffusion equation for the density and show that spatial…

Soft Condensed Matter · Physics 2017-06-08 N. A. M. Araujo , D. A. Zezyulin , V. V. Konotop , M. M. Telo da Gama

Starting from a general classical model of many interacting particles we present a well defined step by step procedure to derive the continuum-mechanics equations of nonlinear elasticity theory with fluctuations which describe the…

Statistical Mechanics · Physics 2022-06-02 Rudolf Haussmann

At thermal equilibrium, intensive quantities like temperature and pressure have to be uniform throughout the system, restricting inhomogeneous systems composed of different phases. The paradigmatic example is the coexistence of vapor and…

Statistical Mechanics · Physics 2021-01-26 Thomas Speck

The force per unit area on the surface of a colloidal particle is a fundamental dynamical quantity in the mechanics and statistical mechanics of colloidal suspensions. Here we compute it in the limit of slow viscous flow for a suspension of…

Soft Condensed Matter · Physics 2018-02-21 Rajesh Singh , R. Adhikari

Given a vector space of microscopic quantum observables, density functional theory is formulated on its dual space. A generalized Hohenberg-Kohn theorem and the existence of the universal energy functional in the dual space are proven. In…

Nuclear Theory · Physics 2009-09-25 G. Rosensteel , Ts. Dankova

Shape changes resulting from segmental flexibility are ubiquitous in molecular and biological systems, and are expected to affect both the diffusive motion and (biological) function of dispersed objects. The recent development of colloidal…

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