论文标题
在一个带电板附近的计数器的基态分布周围的横向密度波动：随机密度的功能视图
Transverse density fluctuations around the ground state distribution of counterions near one charged plate: stochastic density functional view
论文作者
论文摘要
我们考虑了构成随机密度功能理论的基础的过度引导的布朗颗粒的院长卡瓦萨基（DK）方程。最近，线性化的DK方程已成功地重现了对称电解质电导电源电导率的完整攻击者理论。在本文中，将线性DK方程式用于研究带电板附近强耦合柜台的基态分布周围的密度波动，尤其是沿板表面的横向动力学。因此，我们发现了一个交叉尺度，在该尺度上，横向密度动力学似乎是冷冻的，在下面可以观察到柜台在带电板上的扩散行为。线性DK方程提供了动态交叉的特征长度，该长度与2D单分量等离子体的平衡理论中使用的Wigner-Seitz半径相似，这是我们的主要结果。顺便说一句，纵向纵向动力学的一般表示进一步表明存在对流和电逆转。这些影响仍有待定量研究。
We consider the Dean-Kawasaki (DK) equation of overdamped Brownian particles that forms the basis of the stochastic density functional theory. Recently, the linearized DK equation has successfully reproduced the full Onsager theory of symmetric electrolyte conductivity. In this paper, the linear DK equation is applied to investigate density fluctuations around the ground state distribution of strongly coupled counterions near a charged plate, focusing especially on the transverse dynamics along the plate surface. Consequently, we find a crossover scale above which the transverse density dynamics appears frozen and below which diffusive behavior of counterions can be observed on the charged plate. The linear DK equation provides a characteristic length of the dynamical crossover that is similar to the Wigner-Seitz radius used in equilibrium theory for the 2D one-component plasma, which is our main result. Incidentally, general representations of longitudinal dynamics vertical to the plate further suggest the existence of advective and electrically reverse flows; these effects remain to be quantitatively investigated.
