Universal survival probability for a d-dimensional run-and-tumble particle

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• Satya Majumdar, LPTMS
• Tuesday 08 February 2022, 13:00-14:00
• Center for Mathematical Sciences, Lecture room MR11, or https://maths-cam-ac-uk.zoom.us/j/98016675669.

If you have a question about this talk, please contact Camille Scalliet.

We consider an active run-and-tumble particle (RTP) in arbitrary dimension d and compute exactly the probability S(t) that the x-component of the position of the RTP does not change sign up to time t. For the most relevant case of an exponential distribution of times between consecutive tumblings, we show that S(t) is independent of d for any finite time t, as a consequence of the celebrated Sparre Andersen theorem for discrete-time random walks in one dimension. Moreover, we show that this universal result holds for a much wider class of RTP models in which the velocity v of the particle after each tumbling is drawn randomly from an arbitrary probability distribution.

This talk is part of the DAMTP Statistical Physics and Soft Matter Seminar series.

This talk is included in these lists:

• All CMS events
• Center for Mathematical Sciences, Lecture room MR11, or https://maths-cam-ac-uk.zoom.us/j/98016675669
• DAMTP Statistical Physics and Soft Matter Seminar
• Soft Matter
• bld31

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