Nonequilibrium fluctuation-response relations for state observables
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866911459683860480 |
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| author | Ptaszynski, Krzysztof Aslyamov, Timur Esposito, Massimiliano |
| author_facet | Ptaszynski, Krzysztof Aslyamov, Timur Esposito, Massimiliano |
| contents | Time-integrated state observables, which quantify the fraction of time spent by the system in a specific pool of states, are important in many fields, such as chemical sensing or the theory of fluorescence spectroscopy. We derive exact identities, called Fluctuation-Response Relations (FRRs), that connect the fluctuations of such observables to their response to external perturbations in nonequilibrium steady state of Markov jump processes. Using these results, we derive a first known upper bound on fluctuations of state observables, as well as some new lower bounds. We further demonstrate how our identities provide a deeper understanding of the mechanistic origin of fluctuations and reveal their properties dependent only on system topology, which may be relevant for model inference using measured data. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_10233 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Nonequilibrium fluctuation-response relations for state observables Ptaszynski, Krzysztof Aslyamov, Timur Esposito, Massimiliano Statistical Mechanics Time-integrated state observables, which quantify the fraction of time spent by the system in a specific pool of states, are important in many fields, such as chemical sensing or the theory of fluorescence spectroscopy. We derive exact identities, called Fluctuation-Response Relations (FRRs), that connect the fluctuations of such observables to their response to external perturbations in nonequilibrium steady state of Markov jump processes. Using these results, we derive a first known upper bound on fluctuations of state observables, as well as some new lower bounds. We further demonstrate how our identities provide a deeper understanding of the mechanistic origin of fluctuations and reveal their properties dependent only on system topology, which may be relevant for model inference using measured data. |
| title | Nonequilibrium fluctuation-response relations for state observables |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2412.10233 |