22 citations · 158 across the 21 of their papers we have counts for
8 papers · 1 filter
Why hyperdensity functionals describe any equilibrium observable
Florian Sammüller, Matthias Schmidt
We give an introductory account of the recent hyperdensity functional theory for the equilibrium statistical mechanics of soft matter systems [F. Sammüller et al., Phys. Rev. Lett.…
Metadensity functional theory for classical fluids: Extracting the pair potential
Stefanie M. Kampa, Florian Sammüller, Matthias Schmidt +1
The excess free energy functional of classical density functional theory depends upon the type of fluid model, specifically on the choice of (pair) potential, is unknown in general…
Why gauge invariance applies to statistical mechanics
Johanna Müller, Florian Sammüller, Matthias Schmidt
We give an introductory account of the recently identified gauge invariance of the equilibrium statistical mechanics of classical many-body systems [J. Müller et al., Phys. Rev. Le…
Neural density functional theory of liquid-gas phase coexistence
Florian Sammüller, Matthias Schmidt, Robert Evans
We use supervised machine learning together with the concepts of classical density functional theory to investigate the effects of interparticle attraction on the pair structure, t…
Neural density functionals: Local learning and pair-correlation matching
Florian Sammüller, Matthias Schmidt
Recently Dijkman et al. (arXiv:2403.15007) proposed training classical neural density functionals via bulk pair-correlation matching. We show their method to be an efficient regula…
Gauge Invariance of Equilibrium Statistical Mechanics
Johanna Müller, Sophie Hermann, Florian Sammüller +1
We identify a recently proposed shifting operation on classical phase space as a gauge transformation for statistical mechanical microstates. The infinitesimal generators of the co…
Hyper-density functional theory of soft matter
Florian Sammüller, Silas Robitschko, Sophie Hermann +1
We present a scheme for investigating arbitrary thermal observables in spatially inhomogeneous equilibrium many-body systems. Extending the grand canonical ensemble yields any give…
Noether invariance theory for the equilibrium force structure of soft matter
Sophie Hermann, Florian Sammüller, Matthias Schmidt
We give details and derivations for the Noether invariance theory that characterizes the spatial equilibrium structure of inhomogeneous classical many-body systems, as recently pro…