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Machine learning prediction of self-diffusion in Lennard-Jones fluids.

Joshua P Allers1, Jacob A Harvey2, Fernando H Garzon3

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Artificial Neural Network (ANN) models accurately predict self-diffusion in Lennard-Jones fluids, outperforming existing empirical methods. Machine learning, including Random Forest, shows promise for fluid dynamics research.

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Area of Science:

  • Computational physics
  • Materials science
  • Chemical engineering

Background:

  • Accurate prediction of self-diffusion is crucial for understanding fluid behavior.
  • Existing empirical models for Lennard-Jones fluids have limitations in predictive accuracy.
  • Machine learning offers potential for developing more robust predictive models.

Purpose of the Study:

  • To explore and compare different machine learning methods for predicting self-diffusion in Lennard-Jones fluids.
  • To evaluate the performance of Random Forest (RF) and Artificial Neural Network (ANN) regression models.
  • To assess the impact of feature engineering on model performance.

Main Methods:

  • Development and characterization of multiple RF and ANN regression models.
  • Utilized a database of diffusion constants from molecular dynamics simulations.
  • Feature engineering was applied and its effect on RF model performance was analyzed.
  • Model predictions were compared against an established empirical relationship for LJ fluid diffusion.

Main Results:

  • ANN regression models demonstrated superior predictive accuracy for self-diffusion compared to existing empirical relationships.
  • RF models, particularly with enhanced feature engineering, also showed competitive performance.
  • The study quantified prediction errors for all developed ML models.

Conclusions:

  • ANN regression models represent a significant advancement for predicting self-diffusion in Lennard-Jones fluids.
  • Machine learning approaches, especially ANNs, offer a powerful alternative to traditional empirical methods in fluid dynamics.
  • Feature engineering plays a key role in optimizing the performance of machine learning models for physical property prediction.