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arXiv · 2308.12312

Physics informed Neural Networks applied to the description of wave-particle resonance in kinetic simulations of fusion plasmas

Jai Kumar·David Zarzoso·Virginie Grandgirard·Jan Ebert·Stefan Kesselheim
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Abstract

The Vlasov-Poisson system is employed in its reduced form version (1D1V) as a test bed for the applicability of Physics Informed Neural Network (PINN) to the wave-particle resonance. Two examples are explored: the Landau damping and the bump-on-tail instability. PINN is first tested as a compression method for the solution of the Vlasov-Poisson system and compared to the standard neural networks. Second, the application of PINN to solving the Vlasov-Poisson system is also presented with the special emphasis on the integral part, which motivates the implementation of a PINN variant, called Integrable PINN (I-PINN), based on the automatic-differentiation to solve the partial differential equation and on the automatic-integration to solve the integral equation.

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Jai Kumar, David Zarzoso, Virginie Grandgirard, Jan Ebert, Stefan Kesselheim. 2023-08-23. Physics informed Neural Networks applied to the description of wave-particle resonance in kinetic simulations of fusion plasmas. https://arxiv.org/abs/2308.12312

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