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URN to cite this document: urn:nbn:de:bvb:703-epub-8338-9
Title data
Robitschko, Silas ; Sammüller, Florian ; Schmidt, Matthias ; Hermann, Sophie:
Hyperforce balance via thermal Noether invariance of any observable.
In: Communications Physics.
Vol. 7
(2024)
.
- 103.
ISSN 2399-3650
DOI der Verlagsversion: https://doi.org/10.1038/s42005-024-01568-y
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Abstract
Noether invariance in statistical mechanics provides fundamental connections between the symmetries of a physical system and its conservation laws and sum rules. The latter are exact identities that involve statistically averaged forces and force correlations and they are derived from statistical mechanical functionals. However, the implications for more general observables and order parameters are unclear. Here, we demonstrate that thermally averaged classical phase space functions are associated with exact hyperforce sum rules that follow from translational Noether invariance. Both global and locally resolved identities hold and they relate the mean gradient of a phase-space function to its negative mean product with the total force. Similar to Hirschfelder’s hypervirial theorem, the hyperforce sum rules apply to arbitrary observables in equilibrium. Exact hierarchies of higher-order sum rules follow iteratively. As applications we investigate via computer simulations the emerging one-body force fluctuation profiles in confined liquids. These local correlators quantify spatially inhomogeneous self-organization and their measurement allows for the development of stringent convergence tests and enhanced sampling schemes in complex systems.
Further data
| Item Type: | Article in a journal |
|---|---|
| DDC Subjects: | 500 Science 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-8338-9 |
| Date Deposited: | 21 Mar 2025 10:24 |
| Last Modified: | 21 Mar 2025 10:24 |
| URI: | https://epub.uni-bayreuth.de/id/eprint/8338 |
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