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(20) Using this, we find ⟨δ⟩ = ⟨φ 1 − φ 2⟩ = 0 since the product is taken in Itˆ o’s sense

Assuming that the phase difference is small, we approximate sin δ by δ, solve the equation as δ(t) = 2 √ Dωe −Kω cos β ·t ∫ t 0 eKω cos β ·sdWs = 2 √ Dω ( Wt − Kω cos β ∫ t 0

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Synchronization of two bacterial flagella as a stochastic process

nlin.AO · 2024-11-27 · conditional · novelty 5.0

For a two-rotor bacterial flagella model with white noise, the phase difference is an Ornstein-Uhlenbeck process and the total heat separates into linear, periodic, and Brownian terms under slow-variable and small-phase-difference approximations.

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  • Synchronization of two bacterial flagella as a stochastic process nlin.AO · 2024-11-27 · conditional · none · ref 2

    For a two-rotor bacterial flagella model with white noise, the phase difference is an Ornstein-Uhlenbeck process and the total heat separates into linear, periodic, and Brownian terms under slow-variable and small-phase-difference approximations.