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Ab initio canonical sampling based on variational inference

Aloïs Castellano1,2, François Bottin1,2, Johann Bouchet3, Antoine Levitt4, and Gabriel Stoltz4

  • 1CEA, DAM, DIF, F-91297 Arpajon, France
  • 2Université Paris-Saclay, CEA, Laboratoires des Matériaux en Conditions Extrêmes, 91680 Bruyères-le-Châtel, France
  • 3CEA, DES, IRESNE, DEC, Cadarache, F-13018 St Paul Les Durance, France
  • 4CERMICS, Ecole des Ponts, Marne-la-Vallée, France MATHERIALS team-project, Inria Paris, France

Phys. Rev. B 106, L161110 – Published 20 October, 2022

DOI: https://doi.org/10.1103/PhysRevB.106.L161110

Abstract

Finite temperature calculations, based on ab initio molecular dynamics (AIMD) simulations, are a powerful tool able to predict material properties that cannot be deduced from ground state calculations. However, the high computational cost of AIMD limits its applicability for large or complex systems. To circumvent this limitation we introduce a method named machine learning assisted canonical sampling, which accelerates the sampling of the Born-Oppenheimer potential surface in the canonical ensemble. Based on a self-consistent variational procedure, the method iteratively trains a machine learning interatomic potential to generate configurations that approximate the canonical distribution of positions associated with the ab initio potential energy. By proving the reliability of the method on anharmonic systems, we show that the method is able to reproduce the results of AIMD with an ab initio accuracy at a fraction of its computational cost.

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