Modelling Solid Nucleation and Growth In Supercooled Liquid

作者: J.P. Leonard , James S. Im

DOI: 10.1557/PROC-580-233

关键词:

摘要: In this paper, we present a numerical model that incorporates algorithms to simulate nucleation and growth in supercooled liquid manner properly accounts for the stochastic nature of nucleation. The basis our relies on discretization space time address thermal evolution, rapid undercooled interface, liquid. formulation permits spatially temporally random phenomenon be manifested transformation resultant microstructure. This is accomplished by (1) calculating probability each every node during step using Poisson expression, (2) triggering if only when number assigned less than calculated probability. No empirical or deterministic conditions are imposed; occurs spontaneously solely based kinetics. We demonstrate effectiveness overall analyzing similar those encountered pulsed laser-induced crystallization thin Si films, discuss generality proposed

参考文章(28)
D. Turnbull, Formation of Crystal Nuclei in Liquid Metals Journal of Applied Physics. ,vol. 21, pp. 1022- 1028 ,(1950) , 10.1063/1.1699435
James S. Im, Vikas V. Gupta, M. A. Crowder, On determining the relevance of athermal nucleation in rapidly quenched liquids Applied Physics Letters. ,vol. 72, pp. 662- 664 ,(1998) , 10.1063/1.120839
C.W. Morton, W.H. Hofmeister, R.J. Bayuzick, M.B. Robinson, A statistical approach to understanding nucleation phenomena Materials Science and Engineering A-structural Materials Properties Microstructure and Processing. ,vol. 178, pp. 209- 215 ,(1994) , 10.1016/0921-5093(94)90545-2
S. R. Stiffler, Michael O. Thompson, P. S. Peercy, Transient nucleation following pulsed-laser melting of thin silicon films. Physical Review B. ,vol. 43, pp. 9851- 9855 ,(1991) , 10.1103/PHYSREVB.43.9851
J. P. Hirth, Nucleation, undercooling and homogeneous structures in rapidly solidified powders Metallurgical and Materials Transactions A-physical Metallurgy and Materials Science. ,vol. 9, pp. 401- 404 ,(1978) , 10.1007/BF02646391
James S. Im, H. J. Kim, Michael O. Thompson, Phase transformation mechanisms involved in excimer laser crystallization of amorphous silicon films Applied Physics Letters. ,vol. 63, pp. 1969- 1971 ,(1993) , 10.1063/1.110617
M. O. Thompson, P. H. Bucksbaum, J. Bokor, Relation Between Temperature and Solidification Velocity in Rapidly Cooled Liquid Silicon MRS Proceedings. ,vol. 35, pp. 181- ,(1984) , 10.1557/PROC-35-181
P.V. Evans, S.R. Stiffler, Interfacial atomic transport in the nucleation of crystalline silicon from the melt Acta Metallurgica Et Materialia. ,vol. 39, pp. 2727- 2731 ,(1991) , 10.1016/0956-7151(91)90089-J
Yong Liu, R.D. Reitz, Modeling of heat conduction within chamber walls for multidimensional internal combustion engine simulations International Journal of Heat and Mass Transfer. ,vol. 41, pp. 859- 869 ,(1998) , 10.1016/S0017-9310(97)00178-6