Berlin 2018 – wissenschaftliches Programm
CPP 33.25: Poster
Dienstag, 13. März 2018, 14:00–16:00, Poster C
Static properties of confined hard-sphere fluids — •Lukas Schrack and Thomas Franosch — Institut für Theoretische Physik, Leopold-Franzens-Universität, Technikerstraße 21A, 6020 Innsbruck, Austria
We investigate static properties in a strongly confined hard-sphere liquid between two parallel flat walls. For this purpose, the Ornstein-Zernike integral equation using Percus-Yevick closure relation is solved numerically. The theory requires the density profile perpendicular to the plates as input, which can be obtained from density functional theory. The resulting convolution integral is most efficiently solved by a Fast Hankel transform of zeroth-order with a logarithmically spaced grid yielding to an algebraic equation.
The confinement induces a modulation of the equilibrium density profile with plane waves as the suitable eigenmodes for the planar geometry. We try to solve the inhomogenous Ornstein-Zernike equation in mode representation and compare our results to the calculated Fourier decomposition of the direct correlation function and the static structure factor obtained from the real-space solution.