Nucleation and growth in one dimension, part I: The generalized Kolmogorov-Johnson-Mehl-Avrami model
Suckjoon Jun, Haiyang Zhang, John Bechhoefer
Abstract
Motivated by a recent application of the Kolmogorov-Johnson-Mehl-Avrami (KJMA) model to the study of DNA replication, we consider the one-dimensional 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.
Create a lesson
Related papers
Curie-Weiss cell fluid model: Fitting to experimental critical-point data
I. V. Pylyuk, O. A. Dobush, M. P. Kozlovskii et al.
Ionic gradients shape the spatial organization and dynamics of supramolecular polymers
Claudio Perego, Annalisa Cardellini, Andrea Tagliabue et al.
Evolution of dense liquid marbles under light tapping
Amaelle Sprocq, Théo Dhoudain, Alexis Duchesne et al.
Meso-scale modeling of cohesive cavitation in polymer networks
Saleh Assadi, Zachary T. White, Fay Salmon et al.
Machine-learned topological transport of magnetic colloids
Sebastian Wohlrab, Aneena Rinu Perayil, Piotr Kuświk et al.
Skyrmion gears: translation-to-rotation conversion of skyrmion clusters along periodic substrates
N. P. Vizarim, C. J. O. Reichhardt, C. Reichhardt