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Pré-Publication, Document De Travail Année : 2019

Gyrokinetic Vlasov-Poisson model derived by hybrid-coordinate transform of the distribution function

Résumé

This paper points out that the full-orbit density obtained in the standard elec-trostatic gyrokinetic model is not truly accurate at the order ε σ−1 with respect to the equilibrium distribution e −αµ with µ ∈ (0, µ max), where ε is the order of the normalized Larmor radius, ε σ the order of the amplitude of the normalized elec-trostatic potential, and α a factor of O(1). This error makes the exact order of the full-orbit density not consistent with that of the approximation of the full-orbit distribution function. By implementing a hybrid coordinate frame to get the full-orbit distribution, specifically, by replacing the magnetic moment on the full-orbit coordinate frame with the one on the gyrocenter coordinate frame to derive the full-orbit distribution transformed from the gyrocenter distribution, it's proved that the full-orbit density can be approximated with the exact order being ε σ−1. The numerical comparison between the new gyrokinetic model and the standard one was carried out using Selalib code for an initial distribution proportional to exp(−µB T i) in constant cylindrical magnetic field configuration with the existence of electro-static perturbations. The simulation results show that the saturation time of the new mode is later than that of the standard one and there exists obvious difference of the evolution of the amplitude of the radial short-scale potential perturbations between the two models.
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Dates et versions

hal-01924706 , version 1 (16-11-2018)
hal-01924706 , version 2 (30-11-2018)
hal-01924706 , version 3 (06-02-2019)

Identifiants

  • HAL Id : hal-01924706 , version 3

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Shuangxi Zhang. Gyrokinetic Vlasov-Poisson model derived by hybrid-coordinate transform of the distribution function. 2019. ⟨hal-01924706v3⟩
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