22 citations · 158 across the 21 of their papers we have counts for
7 papers · 1 filter
Multivariate hyperdensity functional theory for inhomogeneous equilibrium fluids: From first principles to simulation-based machine learning
Florian Sammüller, Matthias Schmidt
Hyperdensity functional theory facilitates the investigation of the equilibrium behavior of a general order parameter or statistical mechanical observable in spatially inhomogeneou…
Entropy power functional theory for Brownian many-body dynamics
Matthias Schmidt
We present a formally exact variational scheme for the overdamped Brownian dynamics of pairwise interacting many-body systems in general spatiotemporal nonequilibrium. A joint free…
Entropy functional universality: Correlation, response, many-body interaction, multi-component, quantum, hyperfunctional, and Ornstein-Zernike structure
Matthias Schmidt
We give a comprehensive account of the recent entropy functional theory for the equilibrium statistical mechanics of classical many-body systems (arXiv:2606.28240). The approach is…
Entropy functional theory for inhomogeneous fluids
Matthias Schmidt
We present an exact variational scheme for the physics of inhomogeneous classical fluids in thermal equilibrium. A joint metadensity minimization principle is proven for the one-bo…
Nonequilibrium scaling of drag forces in counterdriven fluid mixtures
Jonas Köglmayr, Florian Sammüller, Matthias Schmidt
We address the effective nonequilibrium drag force field that emerges from the microscopic interparticle interactions in steady states of counterdriven binary fluid mixtures. Using…
Quantum statistical mechanics: Gauge invariance, operator shifting, hyperdensity functionals, and nonequilibrium sum rules
Johanna Müller, Matthias Schmidt
We provide an extended acount of the recent statistical mechanical theory of gauge invariance against operator shifting in quantum many-body systems (arXiv:2509.20494). The gauge t…
Metadensity functional learning for classical fluids: Regularizing with pair correlations
Stefanie M. Kampa, Florian Sammüller, Matthias Schmidt
We investigate and exploit consequences of the recent neural metadensity functional theory [Kampa et al., Phys. Rev. Lett. 134, 107301 (2025), 10.1103/PhysRevLett.134.107301] for d…