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Research Article | Open Access

HULU: A unified Monte Carlo framework for adsorption simulations with machine learning potentials

Xitai Cai1Yuxun Wu1Libo Li1 ( )Lijun Liao1Penghua Ying2,3 ( )Yanying Wei1 ( )
School of Chemistry and Chemical Engineering, Guangdong Provincial Key Lab of Green Chemical Product Technology, State Key Laboratory of Advanced Papermaking and Paper-based Materials, South China University of Technology, Guangzhou 510640, China
Laboratory for multiscale mechanics and medical science, SV LAB, School of Aerospace, Xi’an Jiaotong University, Xi’an 710049, China
Department of Physical Chemistry, School of Chemistry, Tel Aviv University, Tel Aviv 6997801, Israel
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Abstract

Adsorption in nanoporous materials is pivotal for addressing global challenges in gas storage, separation, sensing, catalysis, and atmospheric water harvesting. Consequently, molecular simulations are essential for understanding adsorption mechanisms and accelerating material discovery. Key thermodynamic descriptors, such as adsorption isotherms, density distributions, and Henry constants, are particularly valuable for high-throughput screening and predicting separation performance. Recently, machine learning potentials (MLPs) have emerged as a powerful tool, offering near-ab-initio accuracy with high computational efficiency. While MLPs have been extensively applied in molecular dynamics simulations, their integration into Monte Carlo (MC) simulations for adsorption remains largely untapped. This limitation arises primarily because mainstream MC simulation codes are designed for empirical force fields and lacks native support for MLPs. In this work, we developed a flexible Python package, high-throughput vniversal learning-enabled utility for adsorption (HULU), to bridge this gap. We present the first demonstration of calculating full adsorption isotherms using state-of-the-art foundation MLPs (MACE-MATPES-PBE-0, NEP89, and ORB v3). Furthermore, we systematically benchmark these models against standard baselines, such as available experimental or density-functional-theory calculation data, and elucidate the microscopic origins of deviations in the simulation results. Ultimately, HULU paves the way for incorporating high-fidelity MLPs into high-throughput screening workflows, significantly enhancing the predictive design of nanoporous materials for energy and environmental applications.

Graphical Abstract

High-throughput universal learning-enabled utility for adsorption (HULU) is a flexible Python package that enables Monte Carlo adsorption simulations with machine learning potentials. Using representative foundation models (MACE-MATPES-PBE-0, NEP89, and ORB v3), we demonstrate full adsorption isotherms and systematically benchmark their performance, followed by an in-depth investigation of the microscopic origins of the observed deviations.

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Nano Research
Article number: 94908548

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Cite this article:
Cai X, Wu Y, Li L, et al. HULU: A unified Monte Carlo framework for adsorption simulations with machine learning potentials. Nano Research, 2026, 19(4): 94908548. https://doi.org/10.26599/NR.2026.94908548
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Received: 05 January 2026
Revised: 06 February 2026
Accepted: 06 February 2026
Published: 30 March 2026
© The Author(s) 2026. Published by Tsinghua University Press.

This is an open access article under the terms of the Creative Commons Attribution 4.0 International License (CC BY 4.0, https://creativecommons.org/licenses/by/4.0/).