Polarization Effects in Higher-order Guiding-center Lagrangian Dynamics
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866929201707220992 |
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| author | Brizard, Alain J. |
| author_facet | Brizard, Alain J. |
| contents | The extended guiding-center Lagrangian equations of motion are derived by Lie-transform method under the assumption of time-dependent and inhomogeneous electric and magnetic fields that satisfy the standard guiding-center orderings for space-time scales. Polarization effects are introduced into the Lagrangian dynamics by the inclusion of the polarization drift velocity in the guiding-center velocity and the appearance of finite-Larmor-radius corrections in the guiding-center Hamiltonian and guiding-center Poisson bracket. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_04240 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Polarization Effects in Higher-order Guiding-center Lagrangian Dynamics Brizard, Alain J. Plasma Physics The extended guiding-center Lagrangian equations of motion are derived by Lie-transform method under the assumption of time-dependent and inhomogeneous electric and magnetic fields that satisfy the standard guiding-center orderings for space-time scales. Polarization effects are introduced into the Lagrangian dynamics by the inclusion of the polarization drift velocity in the guiding-center velocity and the appearance of finite-Larmor-radius corrections in the guiding-center Hamiltonian and guiding-center Poisson bracket. |
| title | Polarization Effects in Higher-order Guiding-center Lagrangian Dynamics |
| topic | Plasma Physics |
| url | https://arxiv.org/abs/2308.04240 |