5 papers
(Non-)Hyperuniformity of Second Order Statistics of Point Processes
Fabio Frommer, Martin Hanke
We investigate statistical properties of certain stationary point processes, namely determinantal processes with projection kernels and Gibbs point processes with superstable pair…
An inversion formula for the 2-body interaction given the correlation functions
Fabio Frommer, Tobias Kuna, Dimitrios Tsagkarogiannis
Given a classical gas described by the truncated correlation functions of all orders, we prove convergence of an expansion of the pair interaction part of the (unknown) potential i…
The Kirkwood closure point process: A solution of the Kirkwood-Salsburg equations for negative activities
Fabio Frommer
The Kirkwood superposition is a well-known tool in statistical physics to approximate the -point correlation functions for in terms of the density and the radial d…
An inverse cluster expansion or the chemical potential
Fabio Frommer
Interacting particle systems in a finite-volume in equilibrium are often described by a grand-canonical ensemble induced by the corresponding Hamiltonian, i.e. a finite-volume Gibb…
A note on the uniqueness result for the inverse Henderson problem
Fabio Frommer, Martin Hanke, Sabine Jansen
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 th…