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This is a Quantitative Study study.

September 30, 2025Open Access

Mean first-passage time of a run-and-tumble particle with exponentially-distributed tumble duration in the presence of a drift

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This analysis reveals exit probabilities and mean first-passage times in run-and-tumble particles, suggesting drift affects behavior.

The mean first-passage time increases with constant drift, influencing exit probabilities.
The model solves forward Fokker-Planck equations for all potential initial states effectively.
Positive drift notably impacts the mean first-passage time, confirming prior theoretical results.
Explicit formulations validate the drift's role in shaping particle exit dynamics from defined intervals.

Grangé et al. (2025) studied this question.

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