The paper presents the mathematical model of the microplasma process in an electrolyte solution and the main equation of the nanostructured nonmetallic inorganic coating growth during the coating formation on the material surface under conditions of the high energy localization in interfacial nanolayers. The microplasma process is considered as a microplasma collective discharge. The proposed physicochemical model links the main parameters of electrochemical and microplasma processes (concentration, temperature, polarization voltage, pulse duration, time of microplasma treatment) in electrolyte solutions with the parameters of the coating synthesis (growth rate, thickness, grain size). The total microplasma discharge current is limited by the current passing through the nonmixed interlayer.

中文翻译：

---

界面纳米层高能定位纳米结构非金属无机涂层的合成

本文提出了电解质溶液中微等离子体过程的数学模型，以及在界面纳米层高能局域化条件下，材料表面涂层形成过程中纳米结构非金属无机涂层生长的主要方程。微等离子体过程被认为是微等离子体集体放电。所提出的物理化学模型将电解质溶液中电化学和微等离子体过程的主要参数（浓度、温度、极化电压、脉冲持续时间、微等离子体处理时间）与涂层合成参数（生长速率、厚度、晶粒尺寸）联系起来。总的微等离子体放电电流受到通过非混合夹层的电流的限制。