An SDE model for surface roughness progression

被引：0
|
作者：
Allen, E. J. [1 ]
机构：
[1] Texas Tech Univ, Dept Math & Stat, Lubbock, TX 79409 USA
来源：
STOCHASTIC ANALYSIS AND APPLICATIONS | 2020年 / 38卷 / 01期
关键词：
Roughness; SDE; model; deterioration; deposition; smoothing;
D O I：
10.1080/07362994.2019.1662805
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A stochastic differential equation (SDE) is derived for modeling the evolution of root mean square surface roughness, , for various deterioration, deposition, or smoothing processes. The model indicates, for deterioration, deposition, or smoothing, that where a and b are nonnegative constants. For small time, approximately changes linearly with time t but approaches a limiting (saturated) value as time increases. Roughness data for eight different physical processes support the model results.
引用
收藏
页码：171 / 178
页数：8
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