Long-term memory induced correction to Arrhenius law - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Nature Communications Année : 2024

Long-term memory induced correction to Arrhenius law

Correction des lois d'Arrhenius dues à la mémoire à long terme

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 E < E and captures the dependence of rare event kinetics on initial conditions, which is a hallmark of long-term memory. Altogether, our results quantify the impact of long-term memory on rare event kinetics, beyond Arrhenius law.
Fichier sous embargo
Fichier sous embargo
0 5 27
Année Mois Jours
Avant la publication
vendredi 28 février 2025
Fichier sous embargo
vendredi 28 février 2025
Connectez-vous pour demander l'accès au fichier

Dates et versions

hal-04681772 , version 1 (28-08-2024)
hal-04681772 , version 3 (30-08-2024)

Licence

Identifiants

Citer

A. Barbier-Chebbah, O. Bénichou, R. Voituriez, Thomas Guérin. Long-term memory induced correction to Arrhenius law. Nature Communications, 2024, 15 (1), pp.7408. ⟨10.1038/s41467-024-50938-1⟩. ⟨hal-04681772v1⟩
0 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Mastodon Facebook X LinkedIn More