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非线性状态下磁约束等离子体中的输运过程。

Transport processes in magnetically confined plasmas in the nonlinear regime.

作者信息

Sonnino Giorgio

机构信息

EURATOM, Belgian State Fusion Association, Free University of Brussels (U.L.B.), Blvd du Triomphe, Campus de la Plaine C.P. 231, B-1050 Brussels, Belgium.

出版信息

Chaos. 2006 Jun;16(2):023115. doi: 10.1063/1.2201472.

Abstract

A field theory approach to transport phenomena in magnetically confined plasmas is presented. The thermodynamic field theory (TFT), previously developed for treating the generic thermodynamic system out of equilibrium, is applied to plasmas physics. Transport phenomena are treated here as the effect of the field linking the thermodynamic forces with their conjugate flows combined with statistical mechanics. In particular, the Classical and the Pfirsch-Schluter regimes are analyzed by solving the thermodynamic field equations of the TFT in the weak-field approximation. We found that, the TFT does not correct the expressions of the ionic heat fluxes evaluated by the neoclassical theory in these two regimes. On the other hand, the fluxes of matter and electronic energy (heat flow) is further enhanced in the nonlinear Classical and Pfirsch-Schluter regimes. These results seem to be in line with the experimental observations. The complete set of the electronic and ionic transport equations in the nonlinear Banana regime, is also reported. A paper showing the comparison between our theoretic results and the experimental observations in the JET machine is currently in preparation.

摘要

本文提出了一种用于磁约束等离子体中输运现象的场论方法。先前为处理非平衡态的一般热力学系统而发展的热力学场论(TFT)被应用于等离子体物理学。这里将输运现象视为将热力学力与其共轭流联系起来的场的效应,并结合统计力学进行处理。特别地,通过在弱场近似下求解TFT的热力学场方程,对经典区和普菲尔施 - 施卢特区进行了分析。我们发现,在这两个区域中,TFT并未修正由新经典理论评估的离子热通量的表达式。另一方面,在非线性经典区和普菲尔施 - 施卢特区,物质通量和电子能量通量(热流)进一步增强。这些结果似乎与实验观测结果一致。还报告了非线性香蕉区中完整的电子和离子输运方程组。一篇展示我们的理论结果与JET装置中的实验观测结果对比的论文正在撰写中。

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