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arXiv 1005.4223physics.plasm-phnlin.CD
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混合等离子体模型的哈密顿方法

Hamiltonian approach to hybrid plasma models

Cesare Tronci

摘要:

几个混合动力学-流体模型的哈密顿结构被明确确定,考虑无碰撞的弗拉索夫动力学的热粒子与体相流体相互作用。在提出了不同的压力耦合方案的普通流体与热气体相互作用后,本文扩展了处理,以考虑流体等离子体与高能离子物种的相互作用。电流耦合和压力耦合的MHD方案被广泛处理。特别是,压力耦合方案所示的需要一个运输类条款的弗拉索夫动力学方程,为了保持哈密顿结构。本文的最后一部分是致力于研究更一般的情况下,一个充满活力的离子物种相互作用的中和电子背景(混合霍尔MHD)。循环法和卡西米尔泛函明确提出在每种情况下。

英文摘要:

The Hamiltonian structures of several hybrid kinetic-fluid models are identified explicitly, upon considering collisionless Vlasov dynamics for the hot particles interacting with a bulk fluid. After presenting different pressure-coupling schemes for an ordinary fluid interacting with a hot gas, the paper extends the treatment to account for a fluid plasma interacting with an energetic ion species. Both current-coupling and pressure-coupling MHD schemes are treated extensively. In particular, pressure-coupling schemes are shown to require a transport-like term in the Vlasov kinetic equation, in order for the Hamiltonian structure to be preserved. The last part of the paper is devoted to studying the more general case of an energetic ion species interacting with a neutralizing electron background (hybrid Hall-MHD). Circulation laws and Casimir functionals are presented explicitly in each case.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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