Determining cross sections from transport coefficients using deep neural networks

Stokes, P. W., Cocks, D. G., Brunger, M. J., and White, R. D. (2020) Determining cross sections from transport coefficients using deep neural networks. Plasma Sources Science and Technology, 29 (5). 055009.

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Abstract

We present a neural network for the solution of the inverse swarm problem of deriving cross sections from swarm transport data. To account for the uncertainty inherent to this somewhat ill-posed inverse problem, we train the neural network using cross sections from the LXCat project, paired with associated transport coefficients found by the numerical solution of Boltzmann's equation. The use of experimentally measured and theoretically calculated cross sections for training encourages the network to avoid unphysical solutions, such as those containing spurious energy-dependent oscillations. We successfully apply this machine learning approach to simulated swarm data for electron transport in helium, separately determining its elastic momentum transfer and ionisation cross sections to within an accuracy of 4% over the range of energies considered. Our attempt to extend our method to argon was less successful, although the reason for that observation is well-understood. Finally, we explore the feasibility of simultaneously determining cross sections of helium using this approach. We have some success here, determining elastic, total n = 2 excitation and ionisation cross sections to 10%, 20% and 25% accuracy, respectively. We are unsuccessful in properly unfolding the separate n = 2 singlet and triplet excitation cross sections of helium, but this is as expected given their similar threshold energies.

Item ID: 63563
Item Type: Article (Research - C1)
ISSN: 1361-6595
Keywords: swarm analysis, inverse problem, Boltzmann equation, machine learning
Copyright Information: © IOP Publishing Ltd.
Funders: Australian Research Council (ARC)
Projects and Grants: ARC DP 180101655
Date Deposited: 24 Jun 2020 07:36
FoR Codes: 51 PHYSICAL SCIENCES > 5107 Particle and high energy physics > 510703 Particle physics @ 70%
51 PHYSICAL SCIENCES > 5106 Nuclear and plasma physics > 510601 Nuclear physics @ 30%
SEO Codes: 28 EXPANDING KNOWLEDGE > 2801 Expanding knowledge > 280120 Expanding knowledge in the physical sciences @ 100%
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