Reweighting free energy profiles between universal machine learning interatomic potentials for fast consensus building

Fuente: arXiv
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Autori principali: Majumdar, Sauradeep, Steiner, Miguel, Dietschreit, Johannes C. B., Roy, Swagata, Willimetz, Daniel, Grajciar, Lukaš, Gómez-Bombarelli, Rafael
Natura: Preprint
Pubblicazione: 2026
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author Majumdar, Sauradeep
Steiner, Miguel
Dietschreit, Johannes C. B.
Roy, Swagata
Willimetz, Daniel
Grajciar, Lukaš
Gómez-Bombarelli, Rafael
author_facet Majumdar, Sauradeep
Steiner, Miguel
Dietschreit, Johannes C. B.
Roy, Swagata
Willimetz, Daniel
Grajciar, Lukaš
Gómez-Bombarelli, Rafael
contents Free energy profiles serve as a fundamental bridge between microscopic atomic fluctuations and macroscopic thermodynamic observables. Estimating the free energy profile along a reaction coordinate, referred to as the potential of mean force (PMF), with density functional theory (DFT) accuracy is computationally expensive. Universal machine learning interatomic potentials (MLIPs) drastically reduce this cost, but their accuracy is strongly determined by their training data and hence can be uncertain for a given system. In this work, we present a systematic and scalable framework for reweighting PMFs, initially sampled with a single 'source' MLIP, across a representative suite of target MLIPs. Because traditional direct exponential reweighting fails for large system sizes due to low phase-space overlap between potentials, we deploy robust analytical corrections. Applying this to a complex 601-atom system of Li$^+$ transport in a nanoconfined electrolyte, we demonstrate that a mean energy-gap approximation effectively bypasses statistical collapse, producing a highly stable PMF matching the target PMF. Using this approach, we recover high-fidelity target thermodynamics across multiple DFT reference levels (PBE+D3, PBE-sol, r$^2$SCAN,r$^2$SCAN-D4) at a fraction of the computational cost of full simulations. Furthermore, thermodynamic analysis reveals that the studied MLIPs partition into two distinct clusters driven by their training data. Our reweighting framework successfully recovers target thermodynamic properties--specifically, reaction and activation free energies--even when the phase-space overlap between potentials is critically low. Ultimately, this approach establishes a vital diagnostic protocol to achieve affordable cross-model consensus on materials chemistry properties without redundant, resource-intensive simulations.
format Preprint
id arxiv_https___arxiv_org_abs_2605_15630
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Reweighting free energy profiles between universal machine learning interatomic potentials for fast consensus building
Majumdar, Sauradeep
Steiner, Miguel
Dietschreit, Johannes C. B.
Roy, Swagata
Willimetz, Daniel
Grajciar, Lukaš
Gómez-Bombarelli, Rafael
Chemical Physics
Statistical Mechanics
Machine Learning
Free energy profiles serve as a fundamental bridge between microscopic atomic fluctuations and macroscopic thermodynamic observables. Estimating the free energy profile along a reaction coordinate, referred to as the potential of mean force (PMF), with density functional theory (DFT) accuracy is computationally expensive. Universal machine learning interatomic potentials (MLIPs) drastically reduce this cost, but their accuracy is strongly determined by their training data and hence can be uncertain for a given system. In this work, we present a systematic and scalable framework for reweighting PMFs, initially sampled with a single 'source' MLIP, across a representative suite of target MLIPs. Because traditional direct exponential reweighting fails for large system sizes due to low phase-space overlap between potentials, we deploy robust analytical corrections. Applying this to a complex 601-atom system of Li$^+$ transport in a nanoconfined electrolyte, we demonstrate that a mean energy-gap approximation effectively bypasses statistical collapse, producing a highly stable PMF matching the target PMF. Using this approach, we recover high-fidelity target thermodynamics across multiple DFT reference levels (PBE+D3, PBE-sol, r$^2$SCAN,r$^2$SCAN-D4) at a fraction of the computational cost of full simulations. Furthermore, thermodynamic analysis reveals that the studied MLIPs partition into two distinct clusters driven by their training data. Our reweighting framework successfully recovers target thermodynamic properties--specifically, reaction and activation free energies--even when the phase-space overlap between potentials is critically low. Ultimately, this approach establishes a vital diagnostic protocol to achieve affordable cross-model consensus on materials chemistry properties without redundant, resource-intensive simulations.
title Reweighting free energy profiles between universal machine learning interatomic potentials for fast consensus building
topic Chemical Physics
Statistical Mechanics
Machine Learning
url https://arxiv.org/abs/2605.15630