论文标题
量子等离子体的宏伟潜力的筛选活性扩展以及如何得出与电负性兼容状态的近似方程
Screened activity expansion for the grand-potential of a quantum plasma and how to derive approximate equations of state compatible with electroneutrality
论文作者
论文摘要
我们考虑通过库仑电势相互作用的点带电粒子制成的量子多组分等离子体。我们根据经典环路的Feynman-KAC路径积分表示在Feynman-KAC路径积分表示内的大型典型集合中的压力的筛选活动序列。该系列对于计算状态方程有用，因为它的相互作用强度是非扰动的，并且在给定的顺序上涉及相对较少的图表。粒子密度的已知筛选活性序列可以通过分化回收。由于这些系列中图的详细筛选机制，粒子密度满足了局部电荷中立性。我们基于这种机制引入了一种新的一般中和处方，以自动确保与电压保持一致性的状态方程。将此处方与其他开处方进行比较，包括受Lieb-Lebowitz定理启发的中和方案，并根据（s-1）适当的独立组合的引入。最终，我们简要地争论了如何使用压力的活动序列与Debye-Dressing处方相结合，用于在中等密度下得出状态的近似状态方程，其中包括用三个或更多粒子制成的重组实体的贡献。
We consider a quantum multi-component plasma made with S species of point charged particles interacting via the Coulomb potential. We derive the screened activity series for the pressure in the grand-canonical ensemble within the Feynman-Kac path integral representation of the system in terms of a classical gas of loops. This series is useful for computing equations of state for it is non-perturbative with respect to the strength of the interaction and it involves relatively few diagrams at a given order. The known screened activity series for the particle densities can be recovered by differentiation. The particle densities satisfy local charge neutrality thanks to a Debye-screening dressing mechanism of the diagrams in these series. We introduce a new general neutralization prescription, based on this mechanism, for deriving approximate equations of state where consistency with electroneutrality is automatically ensured. This prescription is compared to other ones, including a neutralization scheme inspired by the Lieb-Lebowitz theorem and based on the introduction of (S -- 1) suitable independent combinations of the activities. Eventually, we briefly argue how the activity series for the pressure, combined with the Debye-dressing prescription, can be used for deriving approximate equations of state at moderate densities, which include the contributions of recombined entities made with three or more particles.
