56 citations · 355 across the 22 of their papers we have counts for
5 papers · 1 filter
Why neural functionals suit statistical mechanics
Florian Sammüller, Sophie Hermann, Matthias Schmidt
We describe recent progress in the statistical mechanical description of many-body systems via machine learning combined with concepts from density functional theory and many-body…
Hyperforce balance via thermal Noether invariance of any observable
Silas Robitschko, Florian Sammüller, Matthias Schmidt +1
Noether invariance in statistical mechanics provides fundamental connections between the symmetries of a physical system and its conservation laws and sum rules. The latter are exa…
Neural functional theory for inhomogeneous fluids: Fundamentals and applications
Florian Sammüller, Sophie Hermann, Daniel de las Heras +1
We present a hybrid scheme based on classical density functional theory and machine learning for determining the equilibrium structure and thermodynamics of inhomogeneous fluids. T…
Local measures of fluctuations in inhomogeneous liquids: Statistical mechanics and illustrative applications
Tobias Eckert, Nex C. X. Stuhlmüller, Florian Sammüller +1
We show in detail how three one-body fluctuation profiles, namely the local compressibility, the local thermal susceptibility, and the reduced density, can be obtained from a stati…
Noether-Constrained Correlations in Equilibrium Liquids
Florian Sammüller, Sophie Hermann, Daniel de las Heras +1
Liquid structure carries deep imprints of an inherent thermal invariance against a spatial transformation of the underlying classical many-body Hamiltonian. At first order in the t…