The group contributes to the following application oriented research topics of WIAS:

Diffusion models in statistical physics

Many models in statistical physics contain random paths with interactions of various natures, like polymer models, where the path has a self-repellence and attractive interactions with the surrounding medium, or mass transport models in random medium, where the path carries a random mass that is increased and decreased, depending on the properties of the space visited, or self-intersection properties of the path. Also coupled nonlinear diffusion equations are used for modeling such phenomena. [>> more]

Particle-based modeling in the Sciences

For more than a hundred years diverse processes and phenomena in the natural sciences have been modelled using random particle systems. At the WIAS macroscopic phenomena in such large systems are analyzed with particular focus on phase transitions such as percolation or gelation. [>> more]

Simulation, optimization and optimal control of production processes

In the area of procuction, there is a huge demand for planning and optimization tools that allow for an accelerated re-planning and reconfiguration of complex production facilities. In this context, the key words are "digital factory" or "Industry 4.0", which represents the transition to a connected, widely self-organized industrial production. This interconnectivity allows not only for the optimization of individual production steps, but also of the entire value chain. [>> more]