The collective properties of surface electron systems consisting of several lines of charges are considered. To simulate the system, its characteristic frequencies of oscillations are found by applying Fourier analysis to the average coordinates of particles along and across the lines. The frequencies are compared with the theoretically obtained dispersion laws of plasma modes, calculated according to the equations of motion for small displacements of electrons from equilibrium. The dispersion laws of collective oscillations are calculated for two-, three-, and four-chain systems of electrons, and in the latter case, configurations with both identical and different distances between the charge lines are examined. There is good agreement between the simulation results and the frequency values that follow from the dispersion laws.

中文翻译：

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由几条链组成的电子系统的结构和集体振荡

考虑了由几条电荷线组成的表面电子系统的集体特性。为了模拟系统，通过对沿线和穿过线的粒子的平均坐标应用傅立叶分析，找到其振荡的特征频率。频率与理论上获得的等离子体模式的色散定律进行比较，根据电子从平衡的小位移的运动方程计算。计算两链、三链和四链电子系统的集体振荡的色散定律，在后一种情况下，检查电荷线之间具有相同和不同距离的配置。仿真结果与遵循色散定律的频率值之间存在良好的一致性。