Dynamical Fluctuation-Response Relations
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866910220683313152 |
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| author | Aslyamov, Timur Esposito, Massimiliano |
| author_facet | Aslyamov, Timur Esposito, Massimiliano |
| contents | We derive exact dynamical fluctuation-response relations (FRRs) for time-integrated observables of any nonautonomous Markov jump process. The finite-time covariance splits into an initial variability and an integral of response kernels along the driven dynamics. The identity sharpens the dynamical response thermodynamic and kinetic uncertainty relations and fluctuation-response inequalities (FRIs). It also recovers steady-state FRRs, fluctuation-dissipation theorem and Onsager reciprocity, identifies known autonomous FRIs as the zero-frequency mode. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_24626 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Dynamical Fluctuation-Response Relations Aslyamov, Timur Esposito, Massimiliano Statistical Mechanics We derive exact dynamical fluctuation-response relations (FRRs) for time-integrated observables of any nonautonomous Markov jump process. The finite-time covariance splits into an initial variability and an integral of response kernels along the driven dynamics. The identity sharpens the dynamical response thermodynamic and kinetic uncertainty relations and fluctuation-response inequalities (FRIs). It also recovers steady-state FRRs, fluctuation-dissipation theorem and Onsager reciprocity, identifies known autonomous FRIs as the zero-frequency mode. |
| title | Dynamical Fluctuation-Response Relations |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2604.24626 |