---
license: mit
tags:
- Computational physics
- flow model
- transformer
- Strongly Correlated Electrons
size_categories:
- 10K<n<100K
---
# Hydrogen Hugoniot Dataset
<div align="center">
<img src="logo.png" alt="logo" width="360"></img>
</div>
<div align="center">
</a>
<a href="https://arxiv.org/abs/2507.18540">
<img src="https://img.shields.io/badge/arXiv-2507.18540-b31b1b.svg" alt="arXiv:2507.18540">
</a>
<a href="https://link.aps.org/doi/10.1103/8zn5-6dnt">
<img src="https://img.shields.io/badge/Phys._Rev._Lett.-10.1103/8zn5--6dnt-blue" alt="Physical Review Letters">
</a>
<a href="https://github.com/fermiflow/Hugoniot">
<img src="https://img.shields.io/badge/GitHub-Repository-blue?logo=github" alt="GitHub">
</a>
<a href="https://github.com/jax-ml/jax">
<img src="https://img.shields.io/badge/JAX-0.4+-orange" alt="JAX">
</a>
<a href="./LICENSE">
<img src="https://img.shields.io/badge/License-MIT-yellow.svg?color=green" alt="License">
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</div>
Dataset of hydrogen Hugoniot for Variational free energy method

[View source code on GitHub](https://github.com/fermiflow/Hugoniot)

## Features

- Trained models and parameters for warm dense hydrogen or deuterium
- n_* directories are trained PBC models
- twist_n_* directories are trained TBC models
- '_gl_0.2' means HF grid_length=0.2 Bohr, otherwise is 0.5 Bohr
- eos csv files are inferenced equation of state data
- '_t' means TBC data, otherwise is PBC
- '_fsec' means finite size effect correction

## Citation
If you use this code in your research, please cite our article:
```
@article{8zn5-6dnt,
  title = {Deep variational free energy calculation of hydrogen Hugoniot},
  author = {Li, Zihang, Xie, Hao, Dong, Xinyang, and Wang, Lei},
  journal = {Phys. Rev. Lett.},
  pages = {--},
  year = {2026},
  month = {Jan},
  publisher = {American Physical Society},
  doi = {10.1103/8zn5-6dnt},
  url = {https://link.aps.org/doi/10.1103/8zn5-6dnt}
}
```

## License
This project is licensed under the MIT License. See the LICENSE file for details.