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Traj2Relax: A Trajectory-Supervised Method for Robust Structure Relaxation.

Zhiyuan Liu1, Quan Qian1,2,3

  • 1School of Computer Engineering & Science, Shanghai University, Shanghai 200444, China.

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|January 30, 2026
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Summary
This summary is machine-generated.

Traj2Relax, a new framework, efficiently models atomic structure relaxation by learning from simulation trajectories. It offers a physically consistent and computationally faster alternative for materials modeling, especially for highly perturbed structures.

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Area of Science:

  • Materials Science
  • Computational Chemistry
  • Physics

Background:

  • Structure relaxation is vital for atomic simulations and materials modeling.
  • Traditional methods are computationally expensive, limiting high-throughput applications.

Purpose of the Study:

  • Introduce Traj2Relax, a novel trajectory-supervised framework for efficient structure relaxation.
  • Enable physically consistent structural convergence across various perturbation magnitudes.

Main Methods:

  • Learns a time-dependent velocity field from geometric differences in relaxation trajectories.
  • Utilizes conditional velocity field modeling, avoiding explicit energy/force calculations.
  • Incorporates a time-scheduled noise mechanism for training stability and deterministic inference.

Main Results:

  • Achieves competitive accuracy under near-equilibrium conditions (0.26 Å RMSD, 82.3% space-group consistency).
  • Demonstrates superior performance under moderate to strong perturbations (0.38 Å RMSD, 5.8% recovery rate).
  • Offers an order-of-magnitude improvement in inference throughput via batch-parallel relaxation.

Conclusions:

  • Traj2Relax provides an efficient, physically grounded alternative for learning-driven structure relaxation.
  • The framework excels in high-throughput screening, particularly for nonequilibrium or highly perturbed structures.