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AG Mathematische Physik

Jul 18
18-07-2019 16:15 Uhr bis 18:00 Uhr
Übung 1 / 01.250-128, Cauerstr. 11, Erlangen

Das inverse Henderson-Problem

Sabine Jansen (LMU Muenchen)

The inverse Henderson problem of statistical mechanics concerns classical particles in continuous space which interact according to a pair potential depending on the distance of the particles. Roughly stated, it asks for the interaction potential given the equilibrium pair correlation function of the system. In 1974 Henderson proved that this potential is uniquely determined in a canonical ensemble and he claimed the same result for the thermodynamical limit of the physical system. Here we provide a rigorous proof of a slightly more general version of the latter statement using Georgii’s version of the Gibbs variational principle.