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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Format: | Article |
Language: | English |
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Nature Portfolio
2022-09-01
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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. |
first_indexed | 2024-12-10T14:39:10Z |
format | Article |
id | doaj.art-6c111fb61fd9445c80749e474f2bc2ef |
institution | Directory Open Access Journal |
issn | 2041-1723 |
language | English |
last_indexed | 2024-12-10T14:39:10Z |
publishDate | 2022-09-01 |
publisher | Nature Portfolio |
record_format | Article |
series | Nature Communications |
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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