An estimator of entropy production for partially accessible Markov networks based on the observation of blurred transitions
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Acceso en línea: | |
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| _version_ | 1866929346477817856 |
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| author | Ertel, Benjamin Seifert, Udo |
| author_facet | Ertel, Benjamin Seifert, Udo |
| contents | A central task in stochastic thermodynamics is the estimation of entropy production for partially accessible Markov networks. We establish an effective transition-based description for such networks with transitions that are not distinguishable and therefore blurred for an external observer. We demonstrate that, in contrast to a description based on fully resolved transitions, this effective description is typically non-Markovian at any point in time. Starting from an information-theoretic bound, we derive an operationally accessible entropy estimator for this observation scenario. We illustrate the operational relevance and the quality of this entropy estimator with a numerical analysis of various representative examples. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_08246 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | An estimator of entropy production for partially accessible Markov networks based on the observation of blurred transitions Ertel, Benjamin Seifert, Udo Statistical Mechanics A central task in stochastic thermodynamics is the estimation of entropy production for partially accessible Markov networks. We establish an effective transition-based description for such networks with transitions that are not distinguishable and therefore blurred for an external observer. We demonstrate that, in contrast to a description based on fully resolved transitions, this effective description is typically non-Markovian at any point in time. Starting from an information-theoretic bound, we derive an operationally accessible entropy estimator for this observation scenario. We illustrate the operational relevance and the quality of this entropy estimator with a numerical analysis of various representative examples. |
| title | An estimator of entropy production for partially accessible Markov networks based on the observation of blurred transitions |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2312.08246 |