Open AccessStudy on the relation among grain edge length, grain size and topology with Monte Carlo simulation
Author(s) -
Hao Wang,
Guoquan Liu,
Luan Jun-Hua,
Yue Jing-Chao,
Qin Xiang-Ge
Publication year - 2009
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.58.132
Subject(s) - monte carlo method , enhanced data rates for gsm evolution , grain size , grain growth , statistical physics , length scale , voronoi diagram , materials science , geometry , mathematics , physics , computer science , statistics , telecommunications , quantum mechanics , metallurgy
The relation among grain edge length, grain size and topology is studied by large-scale Potts model-Monte Carlo simulation. The results show that the grain edge length is related to the number of grain faces by a linear relation, which is also observed to hold in Poisson-Voronoi structure and average N-hedra. The distribution of the grain edge lengths maintains self-similarity in the period of quasi-stationary grain growth. The average length of an edge segment in individual grains varies with grain size or the number of grain faces,thereby indicating that assuming the lengths of edge segments in all individual grains to be equal averagely as does in some models is subject to some limitations. The data of Monte Carlo simulated grains and pure iron show that the grain size is related to the face number by a curve convex upward.