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

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arxiv 2308.12312 v1 pith:EZMZVZLC submitted 2023-08-23 physics.comp-ph cs.AIphysics.plasm-ph

classification physics.comp-phcs.AIphysics.plasm-ph
keywords pinnneuralsystemvlasov-poissonequationinformedintegralnetworks
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Cosmo-SPINN: Fuzzy Dark Matter Simulations with Physics-Informed Generative Networks

    astro-ph.CO 2026-07 conditional novelty 6.0 of 10

    Physics-informed generative U-Nets evolve and super-resolve fuzzy dark matter fields under Schrödinger–Poisson constraints with far less supervised data than pure data-driven baselines.

  2. SPINN: Advancing Cosmological Simulations of Fuzzy Dark Matter with Physics Informed Neural Networks

    astro-ph.CO 2025-06 conditional novelty 6.0 of 10

    A physics-informed neural network (SPINN) solves the Schrödinger-Poisson equations for fuzzy dark matter collapse in 1D and 3D, matching a spectral solver on a sinusoidal test case.

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