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

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...

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Main Authors: N. Levernier, T. V. Mendes, O. Bénichou, R. Voituriez, T. Guérin
Format: Article
Language:English
Published: Nature Portfolio 2022-09-01
Series:Nature Communications
Online Access:https://doi.org/10.1038/s41467-022-32280-6
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author N. Levernier
T. V. Mendes
O. Bénichou
R. Voituriez
T. Guérin
author_facet N. Levernier
T. V. Mendes
O. Bénichou
R. Voituriez
T. Guérin
author_sort N. Levernier
collection DOAJ
description 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.
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spelling doaj.art-6c111fb61fd9445c80749e474f2bc2ef2022-12-22T01:44:44ZengNature PortfolioNature Communications2041-17232022-09-011311710.1038/s41467-022-32280-6Everlasting impact of initial perturbations on first-passage times of non-Markovian random walksN. Levernier0T. V. Mendes1O. Bénichou2R. Voituriez3T. Guérin4Aix Marseille Univ., Université de Toulon, CNRS, CPT, Turing Center for Living SystemsLaboratoire Ondes et Matière d’Aquitaine, University of Bordeaux, Unité Mixte de Recherche 5798, CNRSLaboratoire de Physique Théorique de la Matière Condensée, CNRS/UPMCLaboratoire de Physique Théorique de la Matière Condensée, CNRS/UPMCLaboratoire Ondes et Matière d’Aquitaine, University of Bordeaux, Unité Mixte de Recherche 5798, CNRSThe 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.https://doi.org/10.1038/s41467-022-32280-6
spellingShingle N. Levernier
T. V. Mendes
O. Bénichou
R. Voituriez
T. Guérin
Everlasting impact of initial perturbations on first-passage times of non-Markovian random walks
Nature Communications
title Everlasting impact of initial perturbations on first-passage times of non-Markovian random walks
title_full Everlasting impact of initial perturbations on first-passage times of non-Markovian random walks
title_fullStr Everlasting impact of initial perturbations on first-passage times of non-Markovian random walks
title_full_unstemmed Everlasting impact of initial perturbations on first-passage times of non-Markovian random walks
title_short Everlasting impact of initial perturbations on first-passage times of non-Markovian random walks
title_sort everlasting impact of initial perturbations on first passage times of non markovian random walks
url https://doi.org/10.1038/s41467-022-32280-6
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