Nucleation and growth in one dimension
نویسندگان
چکیده
منابع مشابه
Nucleation and growth in one dimension.
Inhomogeneous systems where stable and metastable regions coexist are common in nature. Phase separation and coarsening [1], aggregation [2], wetting [3], dendritic growth [4], and growth of breath figures [5] are just a few examples of such systems. Typically, the stable phase grows into the metastable phase according to complicated kinematic rules. However, in certain cases such as adsorption...
متن کاملNucleation 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)...
متن کاملDiffusion-limited Reaction in One Dimension: Paired and Unpaired Nucleation
We consider the dynamics of diffusing particles in one space dimension with annihilation on collision and nucleation (creation of particles) with constant probability per unit time and length. The cases of nucleation of single particles and nucleation in pairs are considered. A new method of analysis permits exact calculation of the steady state density and its time evolution in terms of the th...
متن کاملNucleation and growth in one dimension. II. Application to DNA replication kinetics.
Inspired by recent experiments on DNA replication, we apply a one-dimensional nucleation-and-growth model to DNA-replication kinetics, focusing on how to extract the time-dependent nucleation rate I (t) and growth speed v from data. We discuss generic experimental problems: namely, spatial inhomogeneity, measurement noise, and finite-size effects. After evaluating how each of these affects the ...
متن کاملUpper Critical Dimension for Irreversible Cluster Nucleation and Growth
Abstract We compare the results of kinetic Monte Carlo (KMC) simulations of a point-island model of irreversible nucleation and growth in four-dimensions with the corresponding mean-field (MF) rate equation predictions for the monomer density, island density, island-size distribution (ISD), and capture number distribution (CND) in order to determine the critical dimension dc for meanfield behav...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review E
سال: 1996
ISSN: 1063-651X,1095-3787
DOI: 10.1103/physreve.54.3562