Hamiltonian formulation of reduced Vlasov-Maxwell equations

Abstract : 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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Contributor : Cristel Chandre <>
Submitted on : Monday, November 5, 2012 - 11:13:44 AM
Last modification on : Monday, March 21, 2016 - 5:43:59 PM
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  • HAL Id : hal-00748241, version 1
  • ARXIV : 1211.0850

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Cristel Chandre, Alain Brizard, Emanuele Tassi. Hamiltonian formulation of reduced Vlasov-Maxwell equations. 2012. <hal-00748241>

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