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Slow dynamical modes from static averages

Devergne, T; Kostic, V; Pontil, M; Parrinello, M; (2025) Slow dynamical modes from static averages. Journal of Chemical Physics , 162 (12) , Article 124108. 10.1063/5.0246248.

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Abstract

In recent times, efforts have been made to describe the evolution of a complex system not through long trajectories but via the study of probability distribution evolution. This more collective approach can be made practical using the transfer operator formalism and its associated dynamics generator. Here, we reformulate in a more transparent way the result of Devergne et al. [Adv. Neural Inform. Process. Syst. 37, 75495-75521 (2024)] and show that the lowest eigenfunctions and eigenvalues of the dynamics generator can be efficiently computed using data easily obtainable from biased simulations. We also show explicitly that the long time dynamics can be reconstructed by using the spectral decomposition of the dynamics operator.

Type: Article
Title: Slow dynamical modes from static averages
DOI: 10.1063/5.0246248
Publisher version: https://doi.org/10.1063/5.0246248
Language: English
Additional information: This version is the version of record. For information on re-use, please refer to the publisher’s terms and conditions.
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Computer Science
URI: https://discovery.ucl.ac.uk/id/eprint/10207207
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