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 and optoelectronic devices such as semiconductor lasers or organic field-effect transistors 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 therein properties like elastic deformability, thermal expansibility, magnetizability, or polarizability interact nontrivially like for instance in a piezo-crystal. At WIAS coupled models describing these properties are developed and analyzed. [>> 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

The relatively large dimensions of semiconductor devices and the complexity of quantum-mechanical models require the consistent modeling of classical and quantum-mechanical descriptions via hybrid models, e.g. by coupling drift-diffusion models to quantum master equations of Lindblad type to describe embedded open quantum systems. Such hybrid models permit the modeling of complex devices such as quantum-dot lasers or single-photon emitters. [>> 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]