Elementary derivation of the dissipation-coherence bound for stochastic oscillators
Abstract
The dissipation-coherence bound is a conjectured trade-off 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.
Fields of Study & Subjects
stochastic dynamics and bifurcation
Advanced Thermodynamics and Statistical Mechanics
Quantum Information and Cryptography
Publication details
- Journal / source
- Physical review. E
- Publisher
- American Physical Society (APS)
- Volume
- 114
- Issue
- 1
- Pages
- L012104–L012104
- Publication date
- 2 June 2026
- Language
- EN