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SUMMARY:First-passage-time asymmetry for biased run-and-tumble processes -
  Rosemary Harris\, University College London
DTSTART:20251202T130000Z
DTEND:20251202T140000Z
UID:TALK238969@talks.cam.ac.uk
CONTACT:Tal Agranov
DESCRIPTION:I will discuss recent work on the validity of the so-called fi
 rst-passage duality for run-and-tumble motion (and other renewal-type proc
 esses) in both discrete and continuous settings. This symmetry relates the
  distributions of first-passage times to absorbing boundaries in the direc
 tions of and against a bias.  It can generally be derived for entropy-like
  quantities but does not necessarily hold for currents of active run-and-t
 umble particles\; indeed the violation can have a non-trivial dependence o
 n the tumbling rate.   I will give conditions for the duality to be restor
 ed asymptotically (in the limit of a large barrier distance) and highlight
  connections to the Gallavotti-Cohen fluctuation relation and the method o
 f images.  In addition\, I will discuss finite-size corrections to the asy
 mptotic behaviour with the aid of simple models amenable to exact calculat
 ions and/or perturbation analysis for small tumbling rate.\n\nBased on htt
 ps://arxiv.org/abs/2505.24483 with Yonathan Sarmiento\, Benjamin Walter\, 
 Debraj Das\, Samvit Mahapatra\, and Édgar Roldán.
LOCATION:Center for Mathematical Sciences\, Lecture room MR4.
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