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, mass transport models, 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. [>> more]

Modeling and simulation of semiconductor structures

Modern semiconductor devices and optoelectronic devices such as semiconductor lasers are based on semiconductor structures, which e.g. can be given by doping profiles, heterostructures or nanostructures. For the qualitative and quantitative understanding of the properties of these devices, mathematical modeling and simulation of the most relevant and, respectively, of the limiting carrier transport processes is necessary. [>> more]

Modeling of phase separation and damage in modern materials

This work is focussed on the modeling of damage and on phase separation in modern solder materials for microelectronic devices. [>> more]

Nonlinear material models, multifunctional materials and hysteresis in connection with elasto-plastic processes

Many components in modern equipment rely on specific properties of so-called multifunctional materials. These materials are distinguished by the fact that they combine at least two of the following properties: elastic deformability, thermal expansibility, magnetizability, polarizability switching between several stable phases. The importance is that these properties interact nontrivially like for instance in a piezo-crystal, where deformation generates electric current. At WIAS coupled models describing these properties are developed and analyze [>> 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. As a result ever more models that specify a large number of particles and rules for how they interact have been both proposed and mathematically analysed. [>> more]

Photovoltaics

This work is focussed on the design of nanostructures and semiconductor simulations in photovoltaics as well as the production of solar silicon. [>> more]

Quantum models for semiconductors

For many years the interest at WIAS concerning the modeling of semiconductor devices was focused to classical models like the drift-diffusion model, its analysis and numerical implementation. The model was augmented by including optical fields (laser and photo-voltaic modeling), device temperature (energy models) and other effects. Moreover, a successful software package (WIAS-TeSCA) was developed for the numerical simulation of devices. [>> more]

Thermodynamic models for electrochemical systems

The behavior of electrochemical systems is widely investigated with continuum physics models. Applications range from single crystal electrochemistry to lithium batteries and fuel cells, from biological nano-pores to electrolysis and corrosion science, and further. [>> more]