Perfecting liquid-state theories with machine intelligence

J Wu, M Gu - The Journal of Physical Chemistry Letters, 2023‏ - ACS Publications
Recent years have seen a significant increase in the use of machine intelligence for
predicting the electronic structure, molecular force fields, and physicochemical properties of …

Why neural functionals suit statistical mechanics

F Sammüller, S Hermann… - Journal of Physics …, 2024‏ - iopscience.iop.org
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 …

Perspective: How to overcome dynamical density functional theory

D de Las Heras, T Zimmermann… - Journal of Physics …, 2023‏ - iopscience.iop.org
We argue in favour of develo** a comprehensive dynamical theory for rationalizing,
predicting, designing, and machine learning nonequilibrium phenomena that occur in soft …

Hyperdensity functional theory of soft matter

F Sammüller, S Robitschko, S Hermann, M Schmidt - Physical Review Letters, 2024‏ - APS
We present a scheme for investigating arbitrary thermal observables in spatially
inhomogeneous equilibrium many-body systems. Extending the grand canonical ensemble …

Ab initio uncertainty quantification in scattering analysis of microscopy

M Gu, Y He, X Liu, Y Luo - Physical Review E, 2024‏ - APS
Estimating parameters from data is a fundamental problem in physics, customarily done by
minimizing a loss function between a model and observed statistics. In scattering-based …

Probabilistic forecast of nonlinear dynamical systems with uncertainty quantification

M Gu, Y Lin, VC Lee, DY Qiu - Physica D: Nonlinear Phenomena, 2024‏ - Elsevier
Data-driven modeling is useful for reconstructing nonlinear dynamical systems when the
underlying process is unknown or too expensive to compute. Having reliable uncertainty …

Machine learning approaches to classical density functional theory

A Simon, M Oettel - arxiv preprint arxiv:2406.07345, 2024‏ - arxiv.org
In this chapter, we discuss recent advances and new opportunities through methods of
machine learning for the field of classical density functional theory, dealing with the …

High-dimensional operator learning for molecular density functional theory

J Yang, R Pan, J Sun, J Wu - arxiv preprint arxiv:2411.03698, 2024‏ - arxiv.org
Classical density functional theory (cDFT) provides a systematic approach to predict the
structure and thermodynamic properties of chemical systems through the single-molecule …

Metadensity functional theory for classical fluids: Extracting the pair potential

SM Kampa, F Sammüller, M Schmidt… - arxiv preprint arxiv …, 2024‏ - arxiv.org
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, and …

Physics-informed Gaussian process regression of in operando capacitance for carbon supercapacitors

R Pan, M Gu, J Wu - Energy Advances, 2023‏ - pubs.rsc.org
Amorphous porous carbons are one of the most popular electrode materials for energy
storage owing to their high electrical conductivity, large specific surface area and low …