Magnetically confined charged particles: From steep density profiles to the breaking of the adiabatic invariant

Fuente: arXiv
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Main Authors: Cordonnier, Aurélien, Lebouazda, Yohann, Leoncini, Xavier, Dif-Pradalier, Guilhem
Format: Preprint
Published: 2025
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author Cordonnier, Aurélien
Lebouazda, Yohann
Leoncini, Xavier
Dif-Pradalier, Guilhem
author_facet Cordonnier, Aurélien
Lebouazda, Yohann
Leoncini, Xavier
Dif-Pradalier, Guilhem
contents This study examines the stability of Vlasov equilibrium solutions for magnetically confined plasmas, derived through the principle of maximum entropy. By treating the toroidal limit as a perturbation from an analytical cylindrical solution, we demonstrate that these equilibria align well with the inviscid magnetohydrodynamic (MHD) description. Using the aspect ratio as a perturbation parameter, we compute particle trajectories sampled from the kinetic equilibrium distribution, confirming the overall stability of the solutions. However, under burning plasma conditions, chaotic dynamics emerge for particles with supra-thermal and even thermal energies. This destroys the adiabatic invariance of the magnetic moment. The exact consequences are unclear, but they could undermine the foundational assumptions of gyrokinetic modelling in burning plasmas. Nevertheless, these results suggest the possibility of unaccounted transport losses in future burning plasma operations. The interplay between turbulence and energetic particles in the presence of Hamiltonian chaos certainly warrants further investigation.
format Preprint
id arxiv_https___arxiv_org_abs_2512_19211
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Magnetically confined charged particles: From steep density profiles to the breaking of the adiabatic invariant
Cordonnier, Aurélien
Lebouazda, Yohann
Leoncini, Xavier
Dif-Pradalier, Guilhem
Plasma Physics
This study examines the stability of Vlasov equilibrium solutions for magnetically confined plasmas, derived through the principle of maximum entropy. By treating the toroidal limit as a perturbation from an analytical cylindrical solution, we demonstrate that these equilibria align well with the inviscid magnetohydrodynamic (MHD) description. Using the aspect ratio as a perturbation parameter, we compute particle trajectories sampled from the kinetic equilibrium distribution, confirming the overall stability of the solutions. However, under burning plasma conditions, chaotic dynamics emerge for particles with supra-thermal and even thermal energies. This destroys the adiabatic invariance of the magnetic moment. The exact consequences are unclear, but they could undermine the foundational assumptions of gyrokinetic modelling in burning plasmas. Nevertheless, these results suggest the possibility of unaccounted transport losses in future burning plasma operations. The interplay between turbulence and energetic particles in the presence of Hamiltonian chaos certainly warrants further investigation.
title Magnetically confined charged particles: From steep density profiles to the breaking of the adiabatic invariant
topic Plasma Physics
url https://arxiv.org/abs/2512.19211