精确到首序和次首序计算带电粒子阻止本领
Calculating the Charged Particle Stopping Power Exactly to Leading and Next-to-leading Order
摘要：
我将讨论一种新的方法来计算输运量，如带电粒子阻止本领，在弱到中等耦合等离子体。这种方法，称为维延拓，在于收敛的动力学方程的框架内，它是足够强大的，以允许系统的微扰膨胀等离子体耦合常数。特别是，它提供了一个准确的评估的阻止功率的领先和下一个领先的顺序在等离子体耦合，与系统误差是三次。因此，计算是近精确的弱耦合等离子体，和相当准确的中等耦合等离子体。这个展开式中的首阶项自斯皮策的经典工作以来就已为人所知。相比之下，次高阶项最近才由布朗、普雷斯顿和辛格尔顿（BPS）使用上述方法计算，以解释等离子体耦合中精确到二阶的所有短距离和长距离物理，包括量子到经典散射跃迁的精确处理。初步数值研究表明，BPS阻止功率增加了点火阈值，从而对即将到来的高能量密度设施具有潜在的不利影响。由于等离子体物理学家可能不熟悉BPS计算背后的关键思想，并且其含义可能很重要，因此我将利用这个机会以教学方式解释该方法。
英文摘要：
I will discuss a new method for calculating transport quantities, such as the charged particle stopping power, in a weakly to moderately coupled plasma. This method, called dimensional continuation, lies within the framework of convergent kinetic equations, and it is powerful enough to allow for systematic perturbative expansions in the plasma coupling constant. In particular, it provides an exact evaluation of the stopping power to leading and next-to-leading order in the plasma coupling, with the systematic error being of cubic order. Consequently, the calculation is near-exact for a weakly coupled plasma, and quite accurate for a moderately coupled plasma. The leading order term in this expansion has been known since the classic work of Spitzer. In contrast, the next-to-leading order term has been calculated only recently by Brown, Preston, and Singleton (BPS), using the aforementioned method, to account for all short- and long-distance physics accurate to second order in the plasma coupling, including an exact treatment of the quantum-to-classical scattering transition. Preliminary numerical studies suggest that the BPS stopping power increases the ignition threshold, thereby having potential adverse implications for upcoming high energy density facilities. Since the key ideas behind the BPS calculation are possibly unfamiliar to plasma physicists, and the implications might be important, I will use this opportunity to explain the method in a pedagogical fashion.
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