Classical dynamical density functional theory (DDFT) is one of the cornerstones of modern
statistical mechanics. It is an extension of the highly successful method of classical density …

The rich and diverse dynamics of particle-based systems ultimately originates from the
coupling of their degrees of freedom via internal interactions. To arrive at a tractable …

For classical many-body systems subject to Brownian dynamics, we develop a
superadiabatic dynamical density functional theory (DDFT) for the description of …

Ongoing scientific interest is aimed at the properties and structure of electric double layers
(EDLs), which are crucial for capacitive energy storage, water treatment, and energy …

A density functional theory for the bulk phase diagram of two-dimensional orientable hard
rods is proposed and tested against Monte Carlo computer simulation data. In detail, an …

We use machine learning methods to approximate a classical density functional. As a study
case, we choose the model problem of a Lennard Jones fluid in one dimension where there …

Density functional theory (DFT) for hard bodies provides a theoretical description of the
effect of particle shape on inhomogeneous fluids. We present improvements of the DFT …

The effect of out-of-plane positional freedom is examined on the stability of two-dimensional
(2D) nematic order of hard non-spherical particles using the second virial density-functional …

Using grand-canonical Monte Carlo (GCMC) simulations, we investigate the isotropic-
nematic phase transition for hard rods of size L× 1× 1 on a three-dimensional cubic lattice …

Based on simplifications of previous numerical calculations [H. Graf and H. Löwen, Phys.
Rev. E 59, 1932 (1999) 1063-651X 10.1103/PhysRevE. 59.1932], we propose algebraic free …