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Related Experiment Video

Updated: Oct 9, 2025

Multiscale Sampling of a Heterogeneous Water/Metal Catalyst Interface using Density Functional Theory and Force-Field Molecular Dynamics
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Bootstrapping time correlation functions of molecular dynamics.

Nicolas Desbiens1, Philippe Arnault1, William Weens1,2

  • 1CEA, DAM, DIF, 91297 Arpajon, France.

Physical Review. E
|December 24, 2021
PubMed
Summary
This summary is machine-generated.

The bootstrap (BS) method offers a cost-effective way to quantify uncertainties in molecular dynamics time correlation functions. This approach aids in assessing errors from phase space sampling and finite-size effects.

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Area of Science:

  • Computational Physics
  • Chemical Physics
  • Materials Science

Background:

  • Molecular dynamics simulations are crucial numerical experiments requiring accurate error quantification.
  • Determining error bars in simulations can be computationally expensive and challenging.
  • Uncertainty estimation is vital for the reliability of simulation results.

Purpose of the Study:

  • To introduce and evaluate the bootstrap (BS) method for quantifying uncertainties in time correlation functions.
  • To assess the BS method's effectiveness compared to the replica method for phase space sampling errors.
  • To investigate the utility of the BS method in addressing finite-size effects in simulations.

Main Methods:

  • Application of the bootstrap (BS) method to calculate uncertainties in time correlation functions.
  • Utilizing velocity autocorrelation functions and interdiffusion current autocorrelation functions for a binary ionic mixture.
  • Comparison of BS method results with the replica method for error analysis.
  • Investigating finite-size effects using the BS method.

Main Results:

  • The bootstrap (BS) method provides a computationally efficient approach for uncertainty quantification in molecular dynamics.
  • The BS method effectively estimates intrinsic errors arising from phase space sampling.
  • The study validates the BS method's capability to address finite-size effects.
  • The BS method's performance is comparable to the more computationally intensive replica method.

Conclusions:

  • The bootstrap (BS) method is a valuable, low-cost tool for estimating uncertainties in molecular dynamics simulations.
  • This method enhances the reliability of time correlation function calculations.
  • The BS method aids in understanding and mitigating simulation artifacts like phase space sampling and finite-size effects.