Time-Embedded Convolutional Neural Networks for Modeling Plasma Heat Transport

Fuente: arXiv
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Autori principali: Luo, Mufei, Heaton, Charles, Wang, Yizhen, Plummer, Daniel, Fitzgerald, Mila, Miniati, Francesco, Vinko, Sam M., Gregori, Gianluca
Natura: Preprint
Pubblicazione: 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 introduce a time-embedded convolutional neural network (TCNN) for modeling spatiotemporal heat transport in plasmas, particularly under strongly nonlocal conditions. In our earlier work, the LMV-Informed Neural Network (LINN) (Luo et al., arXiv:2506.16619) combined prior knowledge from the LMV model with kinetic Particle-in-Cell (PIC) data to improve kernel-based heat-flux predictions. While effective under moderately nonlocal conditions, LINN produced physically inconsistent kernels in strongly time-dependent regimes due to its reliance on the quasi-stationary LMV formulation. To overcome this limitation, TCNN is designed to capture the coupled evolution of both the normalized heat flux and the characteristic nonlocality parameter using a unified neural architecture informed by underlying physical principles. Trained on fully kinetic PIC simulations, TCNN accurately reproduces nonlocal dynamics across a broad range of collisionalities. Our results demonstrate that the combination of time modulation, coupled prediction, and convolutional depth significantly enhances predictive performance, offering a data-driven yet physically consistent framework for multiscale plasma transport problems.
format Preprint
id arxiv_https___arxiv_org_abs_2509_06088
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Time-Embedded Convolutional Neural Networks for Modeling Plasma Heat Transport
Luo, Mufei
Heaton, Charles
Wang, Yizhen
Plummer, Daniel
Fitzgerald, Mila
Miniati, Francesco
Vinko, Sam M.
Gregori, Gianluca
Plasma Physics
We introduce a time-embedded convolutional neural network (TCNN) for modeling spatiotemporal heat transport in plasmas, particularly under strongly nonlocal conditions. In our earlier work, the LMV-Informed Neural Network (LINN) (Luo et al., arXiv:2506.16619) combined prior knowledge from the LMV model with kinetic Particle-in-Cell (PIC) data to improve kernel-based heat-flux predictions. While effective under moderately nonlocal conditions, LINN produced physically inconsistent kernels in strongly time-dependent regimes due to its reliance on the quasi-stationary LMV formulation. To overcome this limitation, TCNN is designed to capture the coupled evolution of both the normalized heat flux and the characteristic nonlocality parameter using a unified neural architecture informed by underlying physical principles. Trained on fully kinetic PIC simulations, TCNN accurately reproduces nonlocal dynamics across a broad range of collisionalities. Our results demonstrate that the combination of time modulation, coupled prediction, and convolutional depth significantly enhances predictive performance, offering a data-driven yet physically consistent framework for multiscale plasma transport problems.
title Time-Embedded Convolutional Neural Networks for Modeling Plasma Heat Transport
topic Plasma Physics
url https://arxiv.org/abs/2509.06088