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arXiv · 2004.07562

Run-and-tumble particles in two-dimensions : Marginal position distributions

Ion Santra·Urna Basu·Sanjib Sabhapandit
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Abstract

We study a set of Run-and-tumble particle (RTP) dynamics in two spatial dimensions. In the first case of the orientation {\theta} of the particle can assume a set of n possible discrete values while in the second case {\theta} is a continuous variable. We calculate exactly the marginal position distributions for n = 3,4 and the continuous case and show that in all the cases the RTP shows a cross-over from a ballistic to diffusive regime. The ballistic regime is a typical signature of the active nature of the systems and is characterized by non-trivial position distributions which depends on the specific model. We also show that, the signature of activity at long-times can be found in the atypical fluctuations which we also characterize by computing the large deviation functions explicitly.

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Ion Santra, Urna Basu, Sanjib Sabhapandit. 2020-04-16. Run-and-tumble particles in two-dimensions : Marginal position distributions. https://doi.org/10.1103/physreve.101.062120

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