Universal scaling relations for growth phenomena
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT(2024)
摘要
The Family-Vicsek (FV) relation is a seminal universal relation obtained for the global roughness at the interface of two media in the growth process. In this work, we revisit the scaling analysis and, through both analytical and computational means, show that the FV relation can be generalized to a new scaling independent of the size, substrate dimension d, and scaling exponents. We use the properties of lattice growth models in the Kardar-Parisi-Zhang and Villain-Lai-Das Sarma universality classes for 1 <= d <= 3 to support our claims.
更多查看译文
关键词
finite-size scaling,growth processes,kinetic roughening,self-affine roughness
AI 理解论文
溯源树
样例
生成溯源树,研究论文发展脉络
Chat Paper
正在生成论文摘要