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Determining the Chemical Potential via Universal Density Functional Learning

DOI zum Zitieren der Version auf EPub Bayreuth: https://doi.org/10.15495/EPub_UBT_00009175
URN to cite this document: urn:nbn:de:bvb:703-epub-9175-7

Title data

Sammüller, Florian ; Schmidt, Matthias:
Determining the Chemical Potential via Universal Density Functional Learning.
In: Physical Review Letters. Vol. 136 (2026) . - 068202.
ISSN 1079-7114
DOI der Verlagsversion: https://doi.org/10.1103/7bqn-y2d7

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Project information

Project title:
Project's official title
Project's id
Linux-Cluster zum wissenschaftlichen Hochleistungsrechnen
422127126
Linux-Cluster zum wissenschaftlichen Hochleistungsrechnen
523317330
Neuronale Funktionaltheorie für inhomogene weiche Materie
551294732
Open Access Publizieren
No information

Project financing: Deutsche Forschungsgemeinschaft

Abstract

We demonstrate that the machine learning of density functionals allows one to determine simultaneously the equilibrium chemical potential across simulation datasets of inhomogeneous classical fluids. Minimization of a loss function based on an Euler-Lagrange equation yields both the universal one-body direct correlation functional, which is represented locally by a neural network, as well as the system-specific unknown chemical potential values. The method can serve as an efficient alternative to conventional computational techniques of measuring the chemical potential. It also facilitates using canonical data from Brownian dynamics, molecular dynamics, or Monte Carlo simulations as a basis for constructing neural density functionals, which are fit for accurate multiscale prediction of soft matter systems in equilibrium.

Further data

Item Type: Article in a journal
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-9175-7
Date Deposited: 11 May 2026 07:29
Last Modified: 11 May 2026 07:30
URI: https://epub.uni-bayreuth.de/id/eprint/9175

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