Elementary derivation of the dissipation--coherence bound for stochastic oscillators
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866910080678494208 |
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| author | Kolchinsky, Artemy |
| author_facet | Kolchinsky, Artemy |
| contents | The dissipation--coherence bound is a conjectured tradeoff between entropy production and the quality of stochastic oscillations. We show that this tradeoff follows from the higher-order thermodynamic uncertainty relation together with a simple criterion on phase-current fluctuations. Moreover, in one-dimensional cyclic systems, this criterion is both necessary and sufficient for the dissipation--coherence bound. Our approach yields an elementary proof in the weak-noise Gaussian regime and extends naturally to some non-Gaussian systems, as illustrated by a run-and-tumble particle. We also compare current-based and spectral formulations of the dissipation--coherence bound. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2510_14101 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Elementary derivation of the dissipation--coherence bound for stochastic oscillators Kolchinsky, Artemy Statistical Mechanics Adaptation and Self-Organizing Systems The dissipation--coherence bound is a conjectured tradeoff between entropy production and the quality of stochastic oscillations. We show that this tradeoff follows from the higher-order thermodynamic uncertainty relation together with a simple criterion on phase-current fluctuations. Moreover, in one-dimensional cyclic systems, this criterion is both necessary and sufficient for the dissipation--coherence bound. Our approach yields an elementary proof in the weak-noise Gaussian regime and extends naturally to some non-Gaussian systems, as illustrated by a run-and-tumble particle. We also compare current-based and spectral formulations of the dissipation--coherence bound. |
| title | Elementary derivation of the dissipation--coherence bound for stochastic oscillators |
| topic | Statistical Mechanics Adaptation and Self-Organizing Systems |
| url | https://arxiv.org/abs/2510.14101 |