[en] The kinetic growth of crystal grains is simulated on a square lattice in the presence of mobile particles. The model is based on the Eden and the dynamic epidemic models. Trapping of the particles by the advancing front and a short-range repulsion of the particles by the front are both allowed. The grain boundary morphology is studied through the kink density concept and the spatial distribution of particles is discussed. Indeed, the clustering of particles along the crystal edges is found to induce the formation of so-called nick instabilities at the liquid-solid interface. The particles, when trapped near such instabilities, occur as oblique filamentary structures in the crystal matrix, just like river networks. These findings agree with recent experimental observations. The numerical laws are also explained by theoretical arguments based on different characteristic lengths.
Disciplines :
Physics
Author, co-author :
Vandewalle, Nicolas ; Université de Liège - ULiège > Département de physique > Physique statistique
Ausloos, Marcel ; Université de Liège - ULiège > Département de physique > Physique statistique appliquée et des matériaux - S.U.P.R.A.S.
Cloots, Rudi ; Université de Liège - ULiège > Département de chimie (sciences) > Chimie inorganique structurale - Doyen de la Faculté des Sciences
Language :
English
Title :
Formation of nick instabilities due to particle clustering along crystal interfaces
Publication date :
October 1997
Journal title :
Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
ISSN :
1063-651X
eISSN :
1095-3787
Publisher :
American Physical Society, College Park, United States - Maryland