The present article aims to study the effect of external parameters, such as the action of a constant force and the action of an external harmonic potential, on the trajectory of a charged particle in Brownian motion in a time-dependent magnetic field. The approach presented here builds on methods of statistical physics and produces an analytical and numerical general solution for the stochastic differential equations of motion.

中文翻译：

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带电粒子在时变磁场中进行布朗运动的轨迹 II：外部参数的影响


本文旨在研究外部参数（例如恒定力的作用和外部谐波势的作用）对随时间变化的磁场中布朗运动的带电粒子轨迹的影响。这里提出的方法建立在统计物理方法的基础上，并为随机微分运动方程提供了解析和数值通解。