2022
DOI: 10.48550/arxiv.2202.07978
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Coherence of oscillations in the weak-noise limit

Benedikt Remlein,
Volker Weissmann,
Udo Seifert

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… Show more

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