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URN to cite this document: urn:nbn:de:bvb:703-epub-7641-7
Title data
de las Heras, Daniel ; Zimmermann, Toni ; Sammüller, Florian ; Hermann, Sophie ; Schmidt, Matthias:
Perspective: How to overcome dynamical density functional theory.
In: Journal of Physics: Condensed Matter.
Vol. 35
(2023)
Issue 27
.
- 271501.
ISSN 0953-8984
DOI der Verlagsversion: https://doi.org/10.1088/1361-648X/accb33
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Project information
| Project financing: |
Deutsche Forschungsgemeinschaft |
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Abstract
We argue in favour of developing a comprehensive dynamical theory for rationalizing, predicting, designing, and machine learning nonequilibrium phenomena that occur in soft matter. To give guidance for navigating the theoretical and practical challenges that lie ahead, we discuss and exemplify the limitations of dynamical density functional theory (DDFT). Instead of the implied adiabatic sequence of equilibrium states that this approach provides as a makeshift for the true time evolution, we posit that the pending theoretical tasks lie in developing a systematic understanding of the dynamical functional relationships that govern the genuine nonequilibrium physics. While static density functional theory gives a comprehensive account of the equilibrium properties of many-body systems, we argue that power functional theory is the only present contender to shed similar insights into nonequilibrium dynamics, including the recognition and implementation of exact sum rules that result from the Noether theorem. As a demonstration of the power functional point of view, we consider an idealized steady sedimentation flow of the three-dimensional Lennard-Jones fluid and machine-learn the kinematic map from the mean motion to the internal force field. The trained model is capable of both predicting and designing the steady state dynamics universally for various target density modulations. This demonstrates the significant potential of using such techniques in nonequilibrium many-body physics and overcomes both the conceptual constraints of DDFT as well as the limited availability of its analytical functional approximations.
Further data
| Item Type: | Article in a journal |
|---|---|
| Keywords: | density functional theory; dynamical density functional theory;
power functional theory; Noether theorem; superadiabatic forces; Brownian dynamics; statistical mechanics of liquids |
| DDC Subjects: | 500 Science > 530 Physics |
| Institutions of the University: | Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Physics > Chair Theoretical Physics II > Chair Theoretical Physics II - Univ.-Prof. Dr. Matthias Schmidt Faculties Faculties > Faculty of Mathematics, Physics und Computer Science Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Physics Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Physics > Chair Theoretical Physics II |
| Language: | English |
| Originates at UBT: | Yes |
| URN: | urn:nbn:de:bvb:703-epub-7641-7 |
| Date Deposited: | 26 Mar 2024 14:22 |
| Last Modified: | 26 Mar 2024 14:22 |
| URI: | https://epub.uni-bayreuth.de/id/eprint/7641 |
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