Coherence of oscillations in the weak-noise limit
arXiv:2202.07978 · doi:10.1103/PhysRevE.105.064101
Abstract
In a noisy environment, oscillations loose their coherence which can be characterized by a quality factor. We determine this quality factor for oscillations arising from a driven Fokker-Planck dynamics along a periodic one-dimensional potential analytically in the weak noise limit. With this expression, we can prove for this continuum model the analog of an upper bound that has been conjectured for the coherence of oscillations in discrete Markov network models. We show that our approach can also be adapted to motion along a noisy two-dimensional limit cycle. Specifically, we apply our scheme to the noisy Stuart-Landau oscillator and the thermodynamically consistent Brusselator as a simple model for a chemical clock. Our approach thus complements the fairly sophisticated extant general framework based on techniques from Hamilton-Jacobi theory with which we compare our results numerically.
arXiv comment13 pages, 5 figures
References in corpus (12)
- Stochastic thermodynamics, fluctuation theorems, and molecular machines
- Thermodynamic uncertainty relation for biomolecular processes
- Dissipation bounds all steady-state current fluctuations
- The free energy cost of accurate biochemical oscillations
- Cost and Precision of Brownian Clocks
- Stochastic phase reduction for a general class of noisy limit cycle oscillators
- Master equations and the theory of stochastic path integrals
- Phase reduction of stochastic limit cycle oscillators
- Coherence of Biochemical Oscillations is Bounded by Driving Force and Network Topology
- Classical pendulum clocks break the thermodynamic uncertainty relation
- Phase transition in thermodynamically consistent biochemical oscillators
- Linear response in large deviations theory: A method to compute non-equilibrium distributions