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High-Performance Multi-GPU Analytic RI-MP2 Energy Gradients.

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This study introduces a novel GPU-accelerated algorithm for calculating analytic energy gradients using Resolution-of-the-Identity Møller-Plesset perturbation theory (RI-MP2). This method significantly reduces computational time and scales favorably with molecular fragmentation.

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Area of Science:

  • Computational Chemistry
  • Quantum Chemistry
  • High-Performance Computing

Background:

  • Second-order Møller-Plesset perturbation theory (MP2) is crucial for accurate electronic structure calculations.
  • Analytic energy gradients are essential for geometry optimization and molecular dynamics.
  • Existing methods face computational bottlenecks, especially for large systems.

Purpose of the Study:

  • To develop a high-performance algorithm for RI-MP2 analytic energy gradients.
  • To leverage multiple graphical processing units (GPUs) for significant computational speedup.
  • To enable accurate gradient calculations for larger molecular systems.

Main Methods:

  • Implementation of a novel GPU-accelerated algorithm within the EXtreme Scale Electronic Structure System (EXESS) software.
  • Utilization of GPUs for integral generation, tensor formation, Z-vector equation solution, and gradient accumulation.
  • Integration with a molecular fragmentation framework to reduce computational scaling.

Main Results:

  • Achieved over 80% of theoretical peak floating-point performance on nodes with 8 A100 GPUs.
  • Demonstrated up to a 95-fold speedup compared to established CPU-based methods (Q-Chem, ORCA).
  • Reduced RI-MP2 gradient calculation scaling from quintic to subquadratic using molecular fragmentation.

Conclusions:

  • The developed GPU-accelerated RI-MP2 gradient algorithm offers substantial performance gains.
  • The integration with molecular fragmentation provides significant computational savings with high accuracy.
  • This approach enables efficient and accurate electronic structure calculations for larger and more complex molecules.