University of Cambridge > Talks.cam > DAMTP Statistical Physics and Soft Matter Seminar > Universal survival probability for a d-dimensional run-and-tumble particle

  Browse A-Z

Log in

Googledetails Microsoftdetails

🔐 Log In

Information on

Subscribing to talksdetails Finding a talkdetails Adding a talkdetails Disseminating talksdetails Help and Documentationdetails

ℹī¸ Information

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

Download to your calendar using vCal

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:

Note that ex-directory lists are not shown.

Other lists

Level 7 - Cell Biology in Medicine Lecture, CIMR na MR9/Zoom https://cam-ac-uk.zoom.us/j/87235967698

Other talks

Decoding genomic chaos - a pancancer compendium of chromosomal instability Talk TBC CPH IRC and PHI Argentina 2005 Spectral rigidity of random covers of compact hyperbolic surfaces Discussion II
 

Š 2006-2025 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity