Long-term memory induced correction to Arrhenius law.
Journal
Nature communications
ISSN: 2041-1723
Titre abrégé: Nat Commun
Pays: England
ID NLM: 101528555
Informations de publication
Date de publication:
28 Aug 2024
28 Aug 2024
Historique:
received:
13
02
2024
accepted:
25
07
2024
medline:
31
8
2024
pubmed:
31
8
2024
entrez:
28
8
2024
Statut:
epublish
Résumé
The Kramers escape problem is a paradigmatic model for the kinetics of rare events, which are usually characterized by Arrhenius law. So far, analytical approaches have failed to capture the kinetics of rare events in the important case of non-Markovian processes with long-term memory, as occurs in the context of reactions involving proteins, long polymers, or strongly viscoelastic fluids. Here, based on a minimal model of non-Markovian Gaussian process with long-term memory, we determine quantitatively the mean FPT to a rare configuration and provide its asymptotics in the limit of a large energy barrier E. Our analysis unveils a correction to Arrhenius law, induced by long-term memory, which we determine analytically. This correction, which we show can be quantitatively significant, takes the form of a second effective energy barrier
Identifiants
pubmed: 39198409
doi: 10.1038/s41467-024-50938-1
pii: 10.1038/s41467-024-50938-1
doi:
Types de publication
Journal Article
Langues
eng
Sous-ensembles de citation
IM
Pagination
7408Informations de copyright
© 2024. The Author(s).
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