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arXiv · 1908.07242

Non-monotonic displacement distribution of active random walkers

Eial Teomy·Yael Roichman·Yair Shokef
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Abstract

We consider a simple model for active random walk with general temporal correlations, and investigate the shape of the probability distribution function of the displacement during a short time interval. We find that under certain conditions the distribution is non-monotonic and we show analytically and numerically that the existence of the non-monotonicity is governed by the walker's tendency to move forward, while the correlations between the timing of its active motion control the magnitude and shape of the non-monotonicity. In particular, we find that in a homogeneous system such non-monotonicity can occur only if the persistence is strong enough.

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Eial Teomy, Yael Roichman, Yair Shokef. 2019-08-20. Non-monotonic displacement distribution of active random walkers. https://doi.org/10.1088/1742-5468%2Fab4fde

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