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Gyrokinetic energy conservation and Poisson‐bracket formulation

 

作者: A. Brizard,  

 

期刊: Physics of Fluids B: Plasma Physics  (AIP Available online 1989)
卷期: Volume 1, issue 7  

页码: 1381-1384

 

ISSN:0899-8221

 

年代: 1989

 

DOI:10.1063/1.858968

 

出版商: AIP

 

数据来源: AIP

 

摘要:

An integral expression for the gyrokinetic total energy of a magnetized plasma, with general magnetic field configuration perturbed by fully electromagnetic fields, was recently derived through the use of a gyrocenter Lie transformation. It is shown that the gyrokinetic energy is conserved by the gyrokinetic Hamiltonian flow to all orders in perturbed fields. An explicit demonstration that a gyrokinetic Hamiltonian containing quadratic nonlinearities preserves the gyrokinetic energy up to third order is given. The Poisson‐bracket formulation greatly facilitates this demonstration with the help of the Jacobi identity and other properties of the Poisson brackets.

 

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