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Machine-Learning Interatomic Potentials for Long-Range Systems.

Yajie Ji1, Jiuyang Liang1,2, Zhenli Xu1,3

  • 1Shanghai Jiao Tong University, School of Mathematical Sciences, Shanghai 200240, China.

Physical Review Letters
|November 7, 2025
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Summary
This summary is machine-generated.

We developed a novel neural network (SOG-Net) to accurately model long-range interactions in machine-learning force fields for molecular simulations. This method enhances accuracy and efficiency for complex systems.

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Area of Science:

  • Computational Chemistry
  • Materials Science
  • Machine Learning

Background:

  • Machine-learning interatomic potentials offer quantum accuracy at reduced cost for molecular simulations.
  • Current models often overlook essential long-range interactions, limiting their applicability.

Purpose of the Study:

  • To introduce a novel framework, the sum-of-Gaussians neural network (SOG-Net), for incorporating long-range interactions into machine-learning force fields.
  • To enhance the accuracy and scope of molecular simulations by addressing limitations in existing models.

Main Methods:

  • Developed SOG-Net, a lightweight framework utilizing a latent-variable learning network to connect short- and long-range interactions.
  • Implemented an efficient Fourier convolution layer for capturing long-range effects.
  • Employed sum-of-Gaussians multipliers and nonuniform fast Fourier transforms for adaptive decay behavior and near-linear computational complexity.

Main Results:

  • SOG-Net effectively integrates long-range interactions into machine-learning force fields.
  • The framework demonstrates adaptive capture of diverse long-range decay behaviors.
  • Achieved close-to-linear computational complexity during training and simulation.

Conclusions:

  • SOG-Net provides a versatile and efficient solution for modeling long-range interactions in molecular simulations.
  • The method is effective across a wide range of systems requiring accurate long-range force field descriptions.