GENERALIZED LANGEVIN AND NOSÉ-HOOVER PROCESSES ABSORBED AT THE BOUNDARY OF A METASTABLE DOMAIN - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2024

GENERALIZED LANGEVIN AND NOSÉ-HOOVER PROCESSES ABSORBED AT THE BOUNDARY OF A METASTABLE DOMAIN

Résumé

In this paper, we prove in a very weak regularity setting existence and uniqueness of quasi-stationary distributions as well as exponential conver- gence towards the quasi-stationary distribution for the generalized Langevin and the Nosé-Hoover processes, two processes which are widely used in molecular dynamics. The case of singular potentials is considered. With the techniques used in this work, we are also able to greatly improve existing results on quasi-stationary distributions for the kinetic Langevin process to a weak regularity setting.
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Dates et versions

hal-04519725 , version 1 (25-03-2024)

Identifiants

  • HAL Id : hal-04519725 , version 1

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Arnaud Guillin, D I Lu, Boris Nectoux, Liming Wu. GENERALIZED LANGEVIN AND NOSÉ-HOOVER PROCESSES ABSORBED AT THE BOUNDARY OF A METASTABLE DOMAIN. 2024. ⟨hal-04519725⟩
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