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arXiv 0706.2680physics.plasm-phhep-phhep-th
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BPS说明I:等离子体中的温度弛豫

BPS Explained I: Temperature Relaxation in a Plasma

Robert L. Singleton

摘要:

这是布朗、普雷斯顿和辛格尔顿(BPS)用来计算等离子体输运量的一种新的强大技术的两个讲座中的第一个。这一论述将是独立的,并打算为那些谁不是专家在量子场论,其中技术的维延拓利用的BPS第一次出现。该方法突出了有趣的类比之间的库仑对数的莱曼斯皮策一方面,兰姆位移计算汉斯贝特的其他。BPS采用了一种新的方法,提供了领先和次领先的行为与竞争不同的长度或能量尺度的过程。他们计算了等离子体中任何两种物质的等离子体数密度中领先和次领先的温度平衡率,这两种物质彼此之间处于热平衡,但不一定相互之间处于热平衡。这种计算的一个特例是电子-离子温度平衡速率。应该强调的是,BPS的结果不是一个模型,而是一个精确的计算在一个定义良好的微扰理论的主导条款。这个确切的结果不同于文献中给出的近似和模型。

英文摘要:

This is the first of two lectures on a new powerful technique employed by Brown, Preston, and Singleton (BPS) to calculate transport quantities in a plasma. This exposition will be self-contained and intended for those who are not specialists in quantum field theory, where the technique of dimensional continuation exploited by BPS first arose. The method is highlighted by the interesting analogy between the Coulomb logarithm of Lyman Spitzer on the one hand, and the Lamb shift as calculated by Hans Bethe on the other. BPS employed the method in a novel way that provides the leading and subleading behavior for processes with competing disparate length or energy scales. They calculated the temperature equilibration rate to leading and next-to-leading order in the plasma number density for any two species in a plasma that are in thermal equilibrium with themselves, but not necessarily with each other. A special case of this calculation is the electron-ion temperature equilibration rate. It should be emphasized that the BPS result is not a model, but rather it is an exact calculation of the leading terms in a well-defined perturbation theory. This exact result differs from approximations and models given in the literature.

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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