Coarse-Graining via Lumping: Exact Calculations and Fundamental Limitations
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866908708463706112 |
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| author | Teza, Gianluca Stella, Attilio L. GrandPre, Trevor |
| author_facet | Teza, Gianluca Stella, Attilio L. GrandPre, Trevor |
| contents | Detecting broken time-reversibility at micro- and nanoscale is often difficult when experiments offer limited state resolution. We introduce a lumping method that builds an effective semi-Markov model able to reproduce exactly the full entropy-production statistics of the microscopic dynamics. The mean entropy production stays accurate even when hidden current-carrying cycles are merged, though higher-order information can be unavoidably lost. In these cases, we capture violations of fluctuation theorems consistent with experiments, opening a path to novel inference strategies out of equilibrium. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_11974 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Coarse-Graining via Lumping: Exact Calculations and Fundamental Limitations Teza, Gianluca Stella, Attilio L. GrandPre, Trevor Statistical Mechanics Spectral Theory Biological Physics Detecting broken time-reversibility at micro- and nanoscale is often difficult when experiments offer limited state resolution. We introduce a lumping method that builds an effective semi-Markov model able to reproduce exactly the full entropy-production statistics of the microscopic dynamics. The mean entropy production stays accurate even when hidden current-carrying cycles are merged, though higher-order information can be unavoidably lost. In these cases, we capture violations of fluctuation theorems consistent with experiments, opening a path to novel inference strategies out of equilibrium. |
| title | Coarse-Graining via Lumping: Exact Calculations and Fundamental Limitations |
| topic | Statistical Mechanics Spectral Theory Biological Physics |
| url | https://arxiv.org/abs/2512.11974 |