论文标题
跨越温度状态的密集等离子体中电子传输模型
A Model of Electron Transport in Dense Plasmas Spanning Temperature Regimes
论文作者
论文摘要
我们在温暖和热的血浆中提出了一种新的电子传输模型，该模型将量子Landau-Fokker-Planck方程与平均强度散射的概念结合在一起。我们在温度的几个数量级上获得了电导率和热电导率，从温暖的物质条件到炎热的，非等级的等离子体条件，包括两者之间的挑战性跨界机制。 Fokker-Planck碰撞理论的小角度近似特征通过基于平均强度散射的准确有效库仑对数的构建来降低良好的效果，这使该理论甚至可以在低温下保持准确，并且与高实际量子量子模拟结果相比。电子电子碰撞在相等的基础上作为电子离子碰撞进行处理。他们的准确处理对于氢而言至关重要，预计对其他低量元素很重要。我们发现电子电子散射仍然对温度低于费米能量的温度的值仍然影响。该理论的准确性似乎仅仅是由于Pauli排除原理与小角度近似之间的微妙相互作用而在非常低的温度下的行为而动摇，因为它们与电子电子散射有关。即使在那里，该模型仍与从头算模拟达成公平一致。
We present a new model of electron transport in warm and hot dense plasmas which combines the quantum Landau-Fokker-Planck equation with the concept of mean-force scattering. We obtain electrical and thermal conductivities across several orders of magnitude in temperature, from warm dense matter conditions to hot, nondegenerate plasma conditions, including the challenging crossover regime between the two. The small-angle approximation characteristic of Fokker-Planck collision theories is mitigated to good effect by the construction of accurate effective Coulomb logarithms based on mean-force scattering, which allows the theory to remain accurate even at low temperatures, as compared with high-fidelity quantum simulation results. Electron-electron collisions are treated on equal footing as electron-ion collisions. Their accurate treatment is found to be essential for hydrogen, and is expected to be important to other low-Z elements. We find that electron-electron scattering remains influential to the value of the thermal conductivity down to temperatures somewhat below the Fermi energy. The accuracy of the theory seems to falter only for the behavior of the thermal conductivity at very low temperatures due to a subtle interplay between the Pauli exclusion principle and the small-angle approximation as they pertain to electron-electron scattering. Even there, the model is in fair agreement with ab initio simulations.
