Incorporating Long-Range Interactions via the Multipole Expansion into Ground and Excited-State Molecular Simulations
Rhyan Barrett, Johannes C. B. Dietschreit, Julia Westermayr

TL;DR
FieldMACE is a novel machine learning framework that efficiently models long-range interactions in molecular simulations by integrating multipole expansion, improving accuracy and scalability for ground and excited states.
Contribution
It introduces FieldMACE, combining multipole expansion with message-passing architectures to better capture long-range effects in molecular simulations.
Findings
Outperforms previous models in accuracy and efficiency
Successfully simulates nonadiabatic excited-state dynamics
Enhanced data efficiency through transfer learning
Abstract
Simulating long-range interactions remains a significant challenge for molecular machine learning potentials due to the need to accurately capture interactions over large spatial regions. In this work, we introduce FieldMACE, an extension of the message-passing atomic cluster expansion (MACE) architecture that integrates the multipole expansion to model long-range interactions more efficiently. By incorporating the multipole expansion, FieldMACE effectively captures environmental and long-range effects in both ground and excited states. Benchmark evaluations demonstrate its superior performance in predictions and computational efficiency compared to previous architectures, as well as its ability to accurately simulate nonadiabatic excited-state dynamics. Furthermore, transfer learning from foundational models enhances data efficiency, making FieldMACE a scalable, robust, and…
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