Hydrogen liquid-liquid transition from first principles and machine learning

Fuente: arXiv
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Main Authors: Tenti, Giacomo, Jäckl, Bastian, Nakano, Kousuke, Rupp, Matthias, Casula, Michele
Format: Preprint
Published: 2025
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author Tenti, Giacomo
Jäckl, Bastian
Nakano, Kousuke
Rupp, Matthias
Casula, Michele
author_facet Tenti, Giacomo
Jäckl, Bastian
Nakano, Kousuke
Rupp, Matthias
Casula, Michele
contents The molecular-to-atomic liquid-liquid transition (LLT) in high-pressure hydrogen is a fundamental topic touching domains from planetary science to materials modeling. Yet, the nature of the LLT is still under debate. To resolve it, numerical simulations must cover length and time scales spanning several orders of magnitude. We overcome these size and time limitations by constructing a fast and accurate machine-learning interatomic potential (MLIP) built on the MACE neural network architecture. The MLIP is trained on Perdew-Burke-Ernzerhof (PBE) density functional calculations and uses a modified loss function correcting for an energy bias in the molecular phase. Classical and path-integral molecular dynamics driven by this MLIP show that the LLT is always supercritical above the melting temperature. The position of the corresponding Widom line agrees with previous ab initio PBE calculations, which in contrast predicted a first-order LLT. According to our calculations, the crossover line becomes a first-order transition only inside the molecular crystal region. These results call for a reconsideration of the LLT picture previously drawn.
format Preprint
id arxiv_https___arxiv_org_abs_2502_02447
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Hydrogen liquid-liquid transition from first principles and machine learning
Tenti, Giacomo
Jäckl, Bastian
Nakano, Kousuke
Rupp, Matthias
Casula, Michele
Disordered Systems and Neural Networks
Materials Science
The molecular-to-atomic liquid-liquid transition (LLT) in high-pressure hydrogen is a fundamental topic touching domains from planetary science to materials modeling. Yet, the nature of the LLT is still under debate. To resolve it, numerical simulations must cover length and time scales spanning several orders of magnitude. We overcome these size and time limitations by constructing a fast and accurate machine-learning interatomic potential (MLIP) built on the MACE neural network architecture. The MLIP is trained on Perdew-Burke-Ernzerhof (PBE) density functional calculations and uses a modified loss function correcting for an energy bias in the molecular phase. Classical and path-integral molecular dynamics driven by this MLIP show that the LLT is always supercritical above the melting temperature. The position of the corresponding Widom line agrees with previous ab initio PBE calculations, which in contrast predicted a first-order LLT. According to our calculations, the crossover line becomes a first-order transition only inside the molecular crystal region. These results call for a reconsideration of the LLT picture previously drawn.
title Hydrogen liquid-liquid transition from first principles and machine learning
topic Disordered Systems and Neural Networks
Materials Science
url https://arxiv.org/abs/2502.02447