The goal of this project is a mathematical rigorous approach to the statistical mechanics of solids. So far rigorous results for the free energy of discrete systems which are consistent with the fundamental symmetries of elasticity have been obtained, using a renormalization approach of Brydges et al. In the next funding period finer properties such as asymptotic Gaussianity of the limiting Gibbs measure will be investigated. The analysis will also be extended to thin films.
DFG Programme
Collaborative Research Centres
