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arXiv · 2510.14101

Elementary derivation of the dissipation-coherence bound for stochastic oscillators

Artemy Kolchinsky
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Abstract

The dissipation-coherence bound is a conjectured tradeoff between entropy production and the quality of stochastic oscillations. We show that this bound can be derived by combining the higher-order ``thermodynamic uncertainty relation'' with a simple condition on phase-current fluctuations. In one-dimensional cyclic systems, our proposed condition is shown to be equivalent to the dissipation-coherence bound itself. Our approach yields an elementary proof in the weak-noise Gaussian regime and extends naturally to some non-Gaussian systems, as we illustrate with a run-and-tumble particle. Finally, we contrast current-based and spectral formulations of the dissipation-coherence bound.

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Artemy Kolchinsky. 2025-10-15. Elementary derivation of the dissipation-coherence bound for stochastic oscillators. https://doi.org/10.1103/yj2t-frgz

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