用机器学习实现激光等离子体模拟的自适应流体-粒子混合,提升精度与效率。
Machine Learning-Integrated Hybrid Fluid-Kinetic Framework for Quantum Electrodynamic Laser Plasma Simulations
- 通过神经网络判断区域稳定状态,动态切换流体与粒子模拟模式。
- 对所有场分量预测的R²超0.95,均方误差低于10^-4。
- 适合高能密度物理与粒子加速研究,兼具精度与可扩展性。
高强度激光等离子体相互作用涉及流体与动力学双重复杂性,需兼顾物理精确性与计算效率。本文提出一种基于机器学习的三维混合流体-粒子模拟框架,将相对论等离子体行为与自动区域转换相结合。在稳定区域采用流体近似,不稳定的区域由神经网络(SwitchNet)触发粒子模拟器,其训练数据来自物理合成样本。模型采用光滑过渡的阿莫索夫-德尔诺-克雷诺夫(ADK)隧穿电离与多光子电离率,结合艾里函数近似模拟量子电动力学(QED)效应中的辐射反作用与正负电子对生成。卷积神经网络通过基于物理的损失函数约束能量守恒,该函数作用于每通道归一化场。蒙特卡洛丢弃法用于量化不确定性。该混合模型对所有场分量预测的决定系数(R²)超过0.95,均方误差低于10⁻⁴,显著提升了激光等离子体模拟的准确性与可扩展性,为高能量密度与粒子加速应用提供统一预测框架。
原文摘要 · Abstract (English)
High-intensity laser plasma interactions create complex computational problems because they involve both fluid and kinetic regimes, which need models that maintain physical precision while keeping computational speed. The research introduces a machine learning-based three-dimensional hybrid fluid-particle-in-cell (PIC) system, which links relativistic plasma behavior to automatic regime transitions. The technique employs fluid approximations for stable areas but activates the PIC solver when SwitchNet directs it to unstable sections through its training on physics-based synthetic data. The model uses a smooth transition between Ammosov-Delone-Krainov (ADK) tunneling and multiphoton ionization rates to simulate ionization, while Airy-function approximations simulate quantum electrodynamic (QED) effects for radiation reaction and pair production. The convolutional neural network applies energy conservation through physics-based loss functions, which operate on normalized fields per channel. Monte Carlo dropout provides uncertainty measurement. The hybrid model produces precise predictions with coefficient of determination (R^2) values above 0.95 and mean squared errors below 10^-4 for all field components. This adaptive approach enhances the accuracy and scalability of laser-plasma simulations, providing a unified predictive framework for high-energy-density and particle acceleration applications.
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