Noether-Constrained Correlations in Equilibrium Liquids
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866929256990244864 |
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| author | Sammüller, Florian Hermann, Sophie Heras, Daniel de las Schmidt, Matthias |
| author_facet | Sammüller, Florian Hermann, Sophie Heras, Daniel de las Schmidt, Matthias |
| contents | Liquid structure carries deep imprints of an inherent thermal invariance against a spatial transformation of the underlying classical many-body Hamiltonian. At first order in the transformation field the Noether theorem yields the local force balance. Three distinct two-body correlation functions emerge at second order, namely the standard two-body density, the localized force-force correlation function, and the localized force gradient. An exact Noether sum rule interrelates these correlators. Simulations of Lennard-Jones, Yukawa, soft-sphere dipolar, Stockmayer, Gay-Berne and Weeks-Chandler-Andersen liquids, of monatomic water and of a colloidal gel former demonstrate their fundamental role in the characterization of spatial structure. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2301_11221 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Noether-Constrained Correlations in Equilibrium Liquids Sammüller, Florian Hermann, Sophie Heras, Daniel de las Schmidt, Matthias Soft Condensed Matter Statistical Mechanics Liquid structure carries deep imprints of an inherent thermal invariance against a spatial transformation of the underlying classical many-body Hamiltonian. At first order in the transformation field the Noether theorem yields the local force balance. Three distinct two-body correlation functions emerge at second order, namely the standard two-body density, the localized force-force correlation function, and the localized force gradient. An exact Noether sum rule interrelates these correlators. Simulations of Lennard-Jones, Yukawa, soft-sphere dipolar, Stockmayer, Gay-Berne and Weeks-Chandler-Andersen liquids, of monatomic water and of a colloidal gel former demonstrate their fundamental role in the characterization of spatial structure. |
| title | Noether-Constrained Correlations in Equilibrium Liquids |
| topic | Soft Condensed Matter Statistical Mechanics |
| url | https://arxiv.org/abs/2301.11221 |