Journal of Physics A: Mathematical and Theoretical ( IF 2.0 ) Pub Date : 2020-12-09 , DOI: 10.1088/1751-8121/abcab9 Gabriel Cardoso 1 , Jean-Marie Stphan 2 , Alexander G Abanov 3
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.
中文翻译:
库仑液滴的边界密度分布。边缘冻结
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。