论文标题
库仑液滴的边界密度曲线。在边缘冻结
The boundary density profile of a Coulomb droplet. Freezing at the edge
论文作者
论文摘要
我们重新审查了计算二维单成分等离子体（2D OCP）的液滴的边界密度曲线与粒子之间的对数相互作用的液滴的问题。在足够低的温度但仍处于液相，密度表现出振荡，这是距液滴边界的距离的函数。我们使用2D OCP的蒙特卡洛模拟以数值获得密度曲线。我们认为，这些振荡的衰减和周期可以在边界附近的Wigner结晶的图像中解释，在该图片中，晶体随着到边界的距离的增加而逐渐融化。
We revisit the problem of computing the boundary density profile of a droplet of two-dimensional one-component plasma (2D OCP) with logarithmic interaction between particles in a confining harmonic potential. At a sufficiently low temperature but still in the liquid phase, the density exhibits oscillations as a function of the distance to the boundary of the droplet. We obtain the density profile numerically using Monte-Carlo simulations of the 2D OCP. We argue that the decay and period of those oscillations can be explained within a picture of the Wigner crystallization near the boundary, where the crystal is gradually melted with the increasing distance to the boundary.
