摘要
采用一种非线性的优化方法,研究了处于硬壁限制势下二维带电多粒子系统的基态,分析不同形状边界对系统基态构型的影响.由于圆形边界对称性高,基态结构和抛物限制势下情况相似.在正方形边界下,当系统粒子数N<66时,荷电粒子形成方形晶格;当N≥66时,由于边界影响被削弱,内层粒子形成六角维格纳晶格.进一步分析了椭圆和矩形边界对维格纳晶格的影响.
A nonlinear optimizing method is applied to study the ground state configurations of a two-dimensional charged panicle system in a hard-wall confining potential. We find that the circular shell configurations in a circular hard wall confinement are similar to that in a parabolic confining potential. With a hard-wall square boundary, the Wigner crystal lattice is square as the number of particles N 〈 66, but becomes a hexagon as N ≥ 66 since the boundary effect is weak for inner particles. The influence of the elliptic and rectangular boundary on the wigner crystal lattice is analyzed.
出处
《计算物理》
EI
CSCD
北大核心
2006年第4期470-476,共7页
Chinese Journal of Computational Physics
基金
国家自然科学基金(60376016)
863(2003AA311070)资助项目
关键词
维格纳晶格
边界效应
wigner crystal lattice
boundary effect
