Snap, Crackle, and Pop: This is why the potential of mean force clashes with the fluctuation dissipation relation
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866914126975991808 |
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| author | Koch, Fabian Wasmer, Tabita Schilling, Tanja |
| author_facet | Koch, Fabian Wasmer, Tabita Schilling, Tanja |
| contents | We analyze the non-linear generalized Langevin equation which contains a thermodynamic force. We show that even for systems in thermal equilibrium the presence of the thermodynamic force implies that the auto-correlation function of the fluctuating force becomes non-stationary. We further illustrate that a standard coarse-graining procedure that neglects this fact predicts waiting-time distributions incompatible with the original, microscopic process. We conclude that one needs to proceed with care when adding thermodynamic driving forces to the Langevin equation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_27465 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Snap, Crackle, and Pop: This is why the potential of mean force clashes with the fluctuation dissipation relation Koch, Fabian Wasmer, Tabita Schilling, Tanja Statistical Mechanics We analyze the non-linear generalized Langevin equation which contains a thermodynamic force. We show that even for systems in thermal equilibrium the presence of the thermodynamic force implies that the auto-correlation function of the fluctuating force becomes non-stationary. We further illustrate that a standard coarse-graining procedure that neglects this fact predicts waiting-time distributions incompatible with the original, microscopic process. We conclude that one needs to proceed with care when adding thermodynamic driving forces to the Langevin equation. |
| title | Snap, Crackle, and Pop: This is why the potential of mean force clashes with the fluctuation dissipation relation |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2510.27465 |