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.

我们重新讨论了在约束谐波势中，粒子之间具有对数相互作用的二维单组分等离子体（2D OCP）小滴的边界密度分布计算问题。在足够低的温度下，但仍处于液相状态，密度表现出振荡，该振荡是至液滴边界的距离的函数。我们使用2D OCP的蒙特卡洛模拟从数值上获得密度分布。我们认为，这些振荡的衰减和周期可以在边界附近的Wigner结晶图片中解释，其中随着距离边界的增加，晶体逐渐熔化。