Bootstrapping time correlation functions of molecular dynamics

Nicolas Desbiens, Philippe Arnault, William Weens, Vincent Dubois, and Guillaume Perrin
Phys. Rev. E 104, 055310 – Published 22 November 2021

Abstract

Molecular dynamics is often considered as a numerical experiment. The error bars on the results are therefore mandatory, but sometimes difficult to determine and computationally demanding. As a low-cost approach, we describe the application of the bootstrap (BS) method to the quantification of uncertainties pertaining to the time correlation functions. We chose the autocorrelation functions of velocity and interdiffusion current for a binary ionic mixture as a test bed, and we assessed the merit of the Darken approximation relating both of them. The intrinsic errors related to phase space sampling is investigated comparing the BS method with the reference method of replica. We also study how the BS method can assist in addressing the finite-size effects.

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  • Received 20 July 2021
  • Accepted 4 November 2021

DOI:https://doi.org/10.1103/PhysRevE.104.055310

©2021 American Physical Society

Physics Subject Headings (PhySH)

Plasma PhysicsStatistical Physics & Thermodynamics

Authors & Affiliations

Nicolas Desbiens* and Philippe Arnault

  • CEA, DAM, DIF, 91297 Arpajon, France

William Weens

  • CEA, DAM, DIF, 91297 Arpajon, France
  • Laboratoire en Informatique Haute Performance pour le Calcul et la Simulation, 91680 Bruyères-le-Châtel, France

Vincent Dubois

  • CEA, DAM, DIF, 91297 Arpajon, France

Guillaume Perrin

  • COSYS, Université Gustave Eiffel, 77420 Champs-sur-Marne, France

  • *nicolas.desbiens@cea.fr
  • philippe.arnault@cea.fr
  • vincent-jp.dubois@cea.fr

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Issue

Vol. 104, Iss. 5 — November 2021

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