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First-Passage-Time Asymmetry for Biased Run-and-Tumble Processes
Yonathan Sarmiento, Benjamin Walter, Debraj Das, Samvit Mahapatra, \'Edgar Rold\'an, Rosemary J. Harris
https://arxiv.org/abs/2505.24483

First-Passage-Time Asymmetry for Biased Run-and-Tumble Processes
We explore first-passage phenomenology for biased active processes with a renewal-type structure, focusing in particular on paradigmatic run-and-tumble models in both discrete and continuous state spaces. In general, we show there is no symmetry between distributions of first-passage times to symmetric barriers positioned in and against the bias direction; however, we give conditions for such a duality to be restored asymptotically (in the limit of a large barrier distance) and highlight connec…