Nature Communications (Sep 2022)

Everlasting impact of initial perturbations on first-passage times of non-Markovian random walks

  • N. Levernier,
  • T. V. Mendes,
  • O. Bénichou,
  • R. Voituriez,
  • T. Guérin

DOI
https://doi.org/10.1038/s41467-022-32280-6
Journal volume & issue
Vol. 13, no. 1
pp. 1 – 7

Abstract

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The persistence of random walker can quantify the kinetics of transport limited reactions and predict the time to reach a target, but is challenging for non-stationary random processes with a large number of degrees of freedom. The authors introduce a method to determine the persistence exponent of random processes with general non-stationary dynamics.