Active Brownian motion with directional reversals,Physical Review E

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Active Brownian motion with directional reversals
Physical Review E ( IF 2.2 ) Pub Date : 2021-07-13 , DOI: 10.1103/physreve.104.l012601
Ion Santra ₁ , Urna Basu _{1,

2} , Sanjib Sabhapandit ₁

Affiliation

Active Brownian motion with intermittent direction reversals is common in bacteria like Myxococcus xanthus and Pseudomonas putida. We show that, for such a motion in two dimensions, the presence of the two timescales set by the rotational diffusion constant

D_{R}

and the reversal rate

γ

gives rise to four distinct dynamical regimes: (I)

t ≪ min (γ^{- 1}, D_{R}^{- 1}),

(II)

γ^{- 1} ≪ t ≪ D_{R}^{- 1}

, (III)

D_{R}^{- 1} ≪ t ≪ γ^{- 1}

, and (IV)

t ≫ max (γ^{- 1}, D_{R}^{- 1})

, showing distinct behaviors. We characterize these behaviors by analytically computing the position distribution and persistence exponents. The position distribution shows a crossover from a strongly nondiffusive and anisotropic behavior at short times to a diffusive isotropic behavior via an intermediate regime, II or III. In regime II, we show that, the position distribution along the direction orthogonal to the initial orientation is a function of the scaled variable