Nucleation and growth in one dimension. I. The generalized Kolmogorov-Johnson-Mehl-Avrami model.
Motivated by a recent application of the Kolmogorov-Johnson-Mehl-Avrami (KJMA) model to the study of DNA replication, we consider the one-dimensional (1D) version of this model. We generalize previous work to the case where the nucleation rate is an arbitrary function I (t) and obtain analytical results for the time-dependent distributions of various quantities (such as the island distribution). We also present improved computer simulation algorithms to study the 1D KJMA model. The analytical results and simulations are in excellent agreement.
Jun
Suckjoon
S
Department of Physics, Simon Fraser University, Burnaby, British Columbia, Canada V5A 1S6. s.jun@amolf.nl
Zhang
Haiyang
H
Bechhoefer
John
J
D003198:Computer Simulation; D003460:Crystallization / Q000379:methods*; D004247:DNA / Q000737:chemistry* / Q000648:ultrastructure; D004261:DNA Replication; D019281:Dimerization; D046911:Macromolecular Substances / Q000737:chemistry; D008956:Models, Chemical; D015233:Models, Statistical
D046911:Macromolecular Substances; D004247:DNA