Tessellations and hard-core particle systems

• Applicant: Professor Dr. Günter Last
• Subject Area: Mathematics
• Term: from 2011 to 2019
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 173504944

The aim of the project is to significantly advance the understanding of distributional properties of geometric descriptors associated with stationary random tessellations, hard-core particle systems, and random packings. The focus of the probabilistic analysis will be on Poisson driven models. The expected analytical results will have an immediate bearing on the physics of granular media and foams. Experimental and simulation data will be used to confirm these relationships and to extend them, e.g. to ensembles of geometrically anisotropic particles with friction. We will analyse geometric descriptors, such as Voronoi cell anisotropy, that relate to physical processes such as the coarsening behavior of foams or structural transitions in particle packings.

• DFG Programme: Research Units
• Subproject of: FOR 1548: Geometry and Physics of Spatial Random Systems