Breakthrough for describing soft matter through AI at the University of Bayreuth

"In the study, we demonstrate how artificial intelligence can be used to carry out fundamental theoretical physics that addresses the behaviour of fluids and other complex soft matter systems," says Prof. Dr. Matthias Schmidt, Chair of Theoretical Physics II at the University of Bayreuth, and explains: "We have developed an advanced scientific method to study matter at the atomic and (macro)molecular level, combining machine learning and mathematical methods to calculate complex physical properties."

The Bayreuth researchers present a hybrid scheme based on classical density functional theory and machine learning to determine the equilibrium structure and thermodynamics of fluids under a variety of influences. Schmidt reports: "We demonstrate the use of the neural functional in the self-consistent computation of density profiles. The quality of the results exceeds the state of the art of fundamental-measure density functional theory. The results establish machine learning of functionals as an efficient tool for the multiscale description of soft matter." Thus, fundamental insights into the structure of matter are gained. The type of matter can be mundane, but it can also be the basis of technological processes and commercial products. "This powerful combination of essentially simple basic techniques has opened a new chapter in density functional theory," says Schmidt, "because networks trained by simulation data are more accurate than the currently best theoretical approximations designed 'by hand', i.e. with paper and pencil."

Schmidt emphasises: "In addition to the significance for the particular field of statistical mechanics of soft matter, I think our method also raises fundamental questions about the human self-understanding of our intellectual activity. For myself, our study gives considerable hope for developments where artificial intelligence, rather than replacing us, expands us in a way that I find very surprising."

The study was funded as part of a DFG project.

The researchers at the University of Bayreuth also provide broadly accessible tutorial material to accompany the PNAS publication. This includes a further introductory article ("Why neural functionals suit statistical mechanics" by Florian Sammüller, Sophie Hermann, and Matthias Schmidt) as well as programming code available online, which interested people can try out for themselves and also work with.