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Main Authors: Miloshevich, George, Vranckx, Luka, Lopes, Felipe Nathan de Oliveira, Dazzi, Pietro, Arrò, Giuseppe, Lapenta, Giovanni
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2510.00282
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author Miloshevich, George
Vranckx, Luka
Lopes, Felipe Nathan de Oliveira
Dazzi, Pietro
Arrò, Giuseppe
Lapenta, Giovanni
author_facet Miloshevich, George
Vranckx, Luka
Lopes, Felipe Nathan de Oliveira
Dazzi, Pietro
Arrò, Giuseppe
Lapenta, Giovanni
contents In this work, we introduce a non-local five-moment electron pressure tensor closure parametrized by a Fully Convolutional Neural Network (FCNN). Electron pressure plays an important role in generalized Ohm's law, competing with electron inertia. This model is used in the development of a surrogate model for a fully kinetic energy-conserving semi-implicit Particle-in-Cell simulation of decaying magnetosheath turbulence. We achieve this by training FCNN on a representative set of simulations with a smaller number of particles per cell and showing that our results generalise to a simulation with a large number of particles per cell. We evaluate the statistical properties of the learned equation of state, with a focus on pressure-strain interaction, which is crucial for understanding energy channels in turbulent plasmas. The resulting equation of state learned via FCNN significantly outperforms local closures, such as those learned by Multi-Layer Perceptron (MLP) or double adiabatic expressions. We report that the overall spatial distribution of pressure-strain and its conditional averages are reconstructed well. However, some small-scale features are missed, especially for the off-diagonal components of the pressure tensor. Nevertheless, the results are substantially improved with more training data, indicating favorable scaling and potential for improvement, which will be addressed in future work.
format Preprint
id arxiv_https___arxiv_org_abs_2510_00282
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Electron neural closure for turbulent magnetosheath simulations: energy channels
Miloshevich, George
Vranckx, Luka
Lopes, Felipe Nathan de Oliveira
Dazzi, Pietro
Arrò, Giuseppe
Lapenta, Giovanni
Plasma Physics
Machine Learning
Computational Physics
In this work, we introduce a non-local five-moment electron pressure tensor closure parametrized by a Fully Convolutional Neural Network (FCNN). Electron pressure plays an important role in generalized Ohm's law, competing with electron inertia. This model is used in the development of a surrogate model for a fully kinetic energy-conserving semi-implicit Particle-in-Cell simulation of decaying magnetosheath turbulence. We achieve this by training FCNN on a representative set of simulations with a smaller number of particles per cell and showing that our results generalise to a simulation with a large number of particles per cell. We evaluate the statistical properties of the learned equation of state, with a focus on pressure-strain interaction, which is crucial for understanding energy channels in turbulent plasmas. The resulting equation of state learned via FCNN significantly outperforms local closures, such as those learned by Multi-Layer Perceptron (MLP) or double adiabatic expressions. We report that the overall spatial distribution of pressure-strain and its conditional averages are reconstructed well. However, some small-scale features are missed, especially for the off-diagonal components of the pressure tensor. Nevertheless, the results are substantially improved with more training data, indicating favorable scaling and potential for improvement, which will be addressed in future work.
title Electron neural closure for turbulent magnetosheath simulations: energy channels
topic Plasma Physics
Machine Learning
Computational Physics
url https://arxiv.org/abs/2510.00282