The acquisition of charge by aerosol particles is well-known to be stochastic in nature. We review the principles of charging using the conceptually and computationally clear language of continuous time Markov processes. A novel numeric approach is presented that can be used to calculate the time evolution of various particle charging processes. Its modular character makes it easy to implement and allows for quick adaptation to specific problems. We conclude with the application of ergodicity for finite state-space Markov processes in order to determine stationary charge distributions in case of bipolar charging.

中文翻译：

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作为时间连续马尔可夫过程的单极和双极气溶胶充电

众所周知，气溶胶粒子对电荷的获取本质上是随机的。我们使用连续时间马尔可夫过程的概念和计算清晰的语言回顾了充电的原理。提出了一种新颖的数值方法，可用于计算各种粒子充电过程的时间演变。其模块化特性使其易于实施并允许快速适应特定问题。我们以有限状态空间马尔可夫过程的遍历性应用结束，以确定双极充电情况下的固定电荷分布。