E2

Simulations of Adsorption
– the Growth of Layered Structures on Surfaces –


Phillip Cain
Chemnitz University of Technology, Physics Institute, Theory of Disordered Systems, D-09107 Chemnitz

Phillip Cain

Computer laboratory experiments shall be performed for different growth models. Even with little previous experience, the participants will be able to perform simple simulations utilizing the provided open source physics library. – Specifically, the random walk approach will be used for the modelling of diffusion-limited aggregation. In order to increase the efficiency of the growth algorithm, different procedures shall be introduced and applied, among them coarse graining and cluster-cluster aggregation. The fractal dimensionality shall be quantitatively analysed in order to distinguish between different growth conditions. – By means of the random walk method the diffusion equation will be solved not only for the description of transport of atoms and molecules on the surface, but also for the transport of electrons in inhomogeneous media. In this way dielectric breakdown and other electric discharge patterns can be described. – In another project, ballistic deposition models will be studied. Specifically, the random deposition, the ballistic deposition, and the Eden model will be investigated. Simple mean-least-squares fits allow us to determine the scaling exponents. By means of finite-size scaling techniques it is possible to extrapolate the computed data to infinite structures. In this way it becomes possible to derive macroscopic properties. – Percolation clusters shall be generated and analysed with respect to the occurrence of clusters with different sizes. The size distribution, the radius of gyration, and the connectedness length are of special interest. The Newmann-Ziff algorithm allows us to create clusters for various occupation probabilities in an efficient manner. For the analysis of the spanning percolating cluster it is more efficient to study the growth of a single cluster by means of the Leath algorithm. The percolation model will be applied to describe conductivity phenomena in disordered structures and amorphous materials.