摘要翻译：
从Bogoliubov-Born-Green-Kirkwood-Yvon(BBGKY)体系出发，导出了无限平面点涡系统的动力学方程。作为Landau方程的近似水平，导出的动力学方程的碰撞项与Chavanis（{It Phys.Rev.E}{BF 64},026309（2001））的碰撞项一致。此外，我们利用Fredholm积分方程的理论，导出了与Balescu-Lenard方程相对应的等离子体动力学方程。对于大的$n$，这个动力学方程归结为上面的Landau方程。
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英文标题：
《Kinetic theory of point vortex systems from the
  Bogoliubov-Born-Green-Kirkwood-Yvon hierarchy》
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作者：
Mitsusada M. Sano
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最新提交年份：
2007
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分类信息：

一级分类：Physics        物理学
二级分类：Statistical Mechanics        统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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英文摘要：
  Kinetic equations are derived from the Bogoliubov-Born-Green-Kirkwood-Yvon (BBGKY) hierarchy for point vortex systems in an infinite plane. As the level of approximation for the Landau equation, the collision term of the kinetic equation derived coincides with that by Chavanis ({\it Phys. Rev. E} {\bf 64}, 026309 (2001)). Furthermore, we derive a kinetic equation corresponding to the Balescu-Lenard equation for plasmas, using the theory of the Fredholm integral equation. For large $N$, this kinetic equation is reduced to the Landau equation above.
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PDF链接：
https://arxiv.org/pdf/708.2526