SKM 2023 – wissenschaftliches Programm
DY 44.17: Poster
Donnerstag, 30. März 2023, 13:00–16:00, P1
Diffusion and order in mixed lattice gas of hard squares — Niklas Raake1, •Piotr Nowakowski2, and Ana-Sunčana Smith1,2 — 1Friedrich–Alexander–Universität Erlangen–Nürnberg, Erlangen, Germany — 2Institut Ruđer Bošković, Zagreb, Croatia
We study a lattice gas composed of hard square particles of 1×1 and 2×2 size (measured in lattice constant) undergoing Brownian motion on a two–dimensional square lattice. For different concentrations of both types of particles we determine numerically the diffusion coefficients and compare them with predictions of a model based on a persistent random walk with one or two step memory. Good agreement is observed only for very low and very high concentration of particles. The deviations present in between these regimes suggest that the correlations play an important role in the dynamics of the system.
Additionally, we introduce a configurational order parameter that characterizes clustering of bigger squares. This allows us to study the continuous transition between unordered liquid and ordered crystal phases.