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| HAL : hal-00748241, version 1 |
| arXiv : 1211.0850 |
| Fiche détaillée |  Récupérer au format |
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| Hamiltonian formulation of reduced Vlasov-Maxwell equations |
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| Cristel Chandre 1Alain Brizard 2 |
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| (31/10/2012) |
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| The Hamiltonian formulation of the reduced Vlasov-Maxwell equations is expressed in terms of the macroscopic fields D and H. These macroscopic fields are themselves expressed in terms of the functional Lie-derivative generated by the functional S with the Poisson bracket [.,.] for the exact Vlasov-Maxwell equations. Hence, the polarization vector P= (D-E)/(4pi) and the magnetization vector M=(B-H)/(4pi) are defined in terms of the expressions 4pi P=[S,E]+... and 4pi M =-[S,B]+..., where lowest-order terms yield dipole contributions. |
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| 1 : | Centre de Physique Théorique (CPT) |
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CNRS : UMR7332 – Aix-Marseille Université - AMU – Université Sud Toulon Var |
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| 2 : | Saint Michael's College |
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Vermont University of Science |
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| NLDYNCPT |
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| Domaine | : | Science non linéaire/Dynamique Chaotique Physique/Physique/Physique des plasmas |
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| Liste des fichiers attachés à ce document : | ||||||||||
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| hal-00748241, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00748241 | |
| oai:hal.archives-ouvertes.fr:hal-00748241 | |
| Contributeur : Cristel Chandre | |
| Soumis le : Lundi 5 Novembre 2012, 11:13:44 | |
| Dernière modification le : Mercredi 27 Février 2013, 11:28:40 | |
