Abstract

We report on the results of analytic and numerical investigations of spectral characteristics of the stochastic (thermal) motion of two charged particles in the anisotropic electric field of a trap. We propose analytic relations for the spectral density of displacements in such a system with homogeneous and inhomogeneous heat sources, including the spectral densities for each particle, as well as for their total and mutual displacements. The resulting relations have been verified by numerical simulation of the problem.

中文翻译：

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两个相互作用粒子系统中随机运动的光谱特性

摘要

我们报告的陷阱的各向异性电场中的两个带电粒子的随机（热）运动的光谱特征的分析和数值研究的结果报告。我们提出了一种在具有均质和不均质热源的系统中位移的光谱密度的解析关系，包括每个粒子的光谱密度及其总位移和相互位移。结果关系已通过问题的数值模拟得到了验证。