Learning Heat Transport Kernels Using a Nonlocal Heat Transport Theory-Informed Neural Network
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| Format: | Preprint |
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2025
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| author | Luo, Mufei Heaton, Charles Wang, Yizhen Plummer, Daniel Fitzgerald, Mila Miniati, Francesco Vinko, Sam M. Gregori, Gianluca |
| author_facet | Luo, Mufei Heaton, Charles Wang, Yizhen Plummer, Daniel Fitzgerald, Mila Miniati, Francesco Vinko, Sam M. Gregori, Gianluca |
| contents | We present a data-driven framework for the modeling of nonlocal heat transport in plasmas using a nonlocal theory informed neural network trained on kinetic Particle-in-Cell simulations that span both local and nonlocal regimes. The model learns spatiotemporal heat flux kernels directly from simulation data, capturing dynamic transport behaviors beyond the reach of classical formulations. Unlike time-independent kernel models such as Luciani Mora Virmont and Schurtz Nicolaï Busquet models, our approach yields physically grounded, time-evolving kernels that adapt to varying plasma conditions. The resulting predictions show strong agreement with kinetic benchmarks across regimes. This offers a promising direction for data-driven modeling of nonlocal heat transport and contributes to a deeper understanding of plasma dynamics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_16619 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Learning Heat Transport Kernels Using a Nonlocal Heat Transport Theory-Informed Neural Network Luo, Mufei Heaton, Charles Wang, Yizhen Plummer, Daniel Fitzgerald, Mila Miniati, Francesco Vinko, Sam M. Gregori, Gianluca Plasma Physics We present a data-driven framework for the modeling of nonlocal heat transport in plasmas using a nonlocal theory informed neural network trained on kinetic Particle-in-Cell simulations that span both local and nonlocal regimes. The model learns spatiotemporal heat flux kernels directly from simulation data, capturing dynamic transport behaviors beyond the reach of classical formulations. Unlike time-independent kernel models such as Luciani Mora Virmont and Schurtz Nicolaï Busquet models, our approach yields physically grounded, time-evolving kernels that adapt to varying plasma conditions. The resulting predictions show strong agreement with kinetic benchmarks across regimes. This offers a promising direction for data-driven modeling of nonlocal heat transport and contributes to a deeper understanding of plasma dynamics. |
| title | Learning Heat Transport Kernels Using a Nonlocal Heat Transport Theory-Informed Neural Network |
| topic | Plasma Physics |
| url | https://arxiv.org/abs/2506.16619 |