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arXiv 2001.11438physics.plasm-ph
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量子平均力动力学理论:一般形式及其在热致密物质中电子-离子输运的应用

Quantum Mean-Force Kinetic Theory: General Formulation and Application to Electron-Ion Transport in Warm Dense Matter

Shane Rightley, Scott D. Baalrud

摘要:

我们提出了一种方法来扩展等离子体输运理论到温暖的致密物质(WDM)制度的特点是适度的库仑耦合和电子简并。它是基于最近提出的BBGKY层次结构的封闭性,该层次结构在相关性偏离其均衡值方面进行扩展,而不是在相关性的强度方面。该动力学方程包含对碰撞项的修改,以及对状态方程的非理想贡献进行建模的第二项。一个明确的碰撞算子是在半经典的限制,这是类似于Uehling-Uhlenbeck方程,但散射介导的潜在的平均力(PMF)。作为示范,我们使用这个碰撞积分来评估在稠密等离子体中的温度和动量弛豫率。我们得到的退化和耦合依赖的“库仑积分”,取代$\lnΛ$的散射率。我们还发现了一个新的差异的方式,简并影响动量松弛温度松弛相比。最后,我们评估的情况下,温暖的密度和温度的范围内的致密氘跨越经典的量子和弱到强耦合过渡的电子-离子弛豫速率。计算结果与Landau-Spitzer速率以及量子Landau-Fokker-Planck方程和Lee-More模型的计算结果进行了比较。我们发现,该模型分歧显着的退化和适度耦合制度,并将这种差异归因于各种模型如何处理物理的泡利阻塞,相关性,大角度散射和衍射。

英文摘要:

We present an approach to extend plasma transport theory into the Warm Dense Matter (WDM) regime characterized by moderate Coulomb coupling and electron degeneracy. It is based on a recently proposed closure of the BBGKY hierarchy that expands in terms of the departure of correlations from their equilibrium value, rather than in terms of the strength of correlations. This kinetic equation contains modifications to the collision term in addition to a second term that models the non-ideal contributions to the equation of state. An explicit collision operator is derived in the semiclassical limit that is similar to that of the Uehling-Uhlenbeck equation, but where scattering is mediated by the potential of mean force (PMF). As a demonstration, we use this collision integral to evaluate temperature and momentum relaxation rates in dense plasmas. We obtain degeneracy- and coupling-dependent 'Coulomb integrals' that take the place of $\lnΛ$ in the scattering rates. We additionally find a novel difference in the way in which degeneracy influences momentum relaxation in comparison to temperature relaxation. Finally, we evaluate electron-ion relaxation rates for the case of warm dense deuterium over a range of density and temperature spanning the classical to quantum and weak to strong coupling transitions. Results are compared with the Landau-Spitzer rate and rates obtained from the quantum Landau-Fokker-Planck equation and Lee-More model. We find that the models diverge significantly in the degenerate and moderately coupled regime and attribute this difference to how the various models treat the physics of Pauli blocking, correlations, large-angle scattering, and diffraction.

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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