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Dynamic scaling of the cluster‐size distribul nucleation: Precoalescence stages
Author(s) -
Shi Frank G.,
Seinfeld John H.
Publication year - 1994
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.690400104
Subject(s) - nucleation , scaling , cluster (spacecraft) , dynamic scaling , power law , kinetic energy , interphase , statistical physics , exponent , chemical physics , thermodynamics , materials science , chemistry , physics , mathematics , computer science , classical mechanics , statistics , linguistics , genetics , philosophy , biology , programming language , geometry
The dynamic evolution of the cluster‐size distribution (CSD) in the precoalescence stages of nucleation and growth for sizes within and beyond the nucleation barrier layer (NBL) has been obtained. The existence of several universal kinetic laws of nucleation is predicted. In the precoalescence stages of nucleation, the CSD for sizes within and beyond the NBL obeys dynamic scaling relations. In a range of sizes beyond the NBL, the CSD exhibits a universal power law behavior, the exponent of which depends only on the interphase monomer transfer mechanism. Based on the results for the CSD, a general foundation is developed for nucleation kinetic measurements including the determination of the nucleation barrier and the inter‐facial monomer transport rate by measuring the CSD. A preliminary comparison with an experimental study confirms the predicted dynamic scaling and the power law behavior of the CSD in the early stages of nucleation and growth.