Journal ArticleDOI
The theory of diffusionless crystal growth
TLDR
The transition from diffusion growth to diffusionless growth is traced on the basis of the derived relationship between the degree of short-range order in the new phase and the magnitude of the coefficient of diffusion as discussed by the authors.About:
This article is published in Journal of Crystal Growth.The article was published on 1969-06-01. It has received 24 citations till now. The article focuses on the topics: Diffusionless transformation & Diffusion (business).read more
Citations
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Journal ArticleDOI
Splat cooling and metastable phases
TL;DR: It was first shown in 1960 that rapid quenching of certain alloys from the melt could form completely extended solid solutions, new metastable crystalline phases, and amorphous solid phases as discussed by the authors.
Journal ArticleDOI
Asymptotic behaviour for random walks in random environments
TL;DR: In this article, the authors consider limit theorems for a random walk in a random environment, (X n ), and show that the random walk satisfies a central limit theorem for any fixed environment.
Journal ArticleDOI
Symmetric random walks in random environments
TL;DR: In this paper, the authors consider a random walk on the d-dimensional lattice Ω(n, d) where the transition probabilities p(x,y) are symmetric,p(x and y) = p(y,x), different from zero only ify−x belongs to a finite symmetric set including the origin and are random.
Journal ArticleDOI
An analytical model for non-equilibrium segregation during crystallization
TL;DR: An analytical model has been developed to describe Monte Carlo simulation results for the non-equilibrium incorporation of dopants during crystallization, which can also be used to describe extended solubility and other phenomena associated with rapid first-order phase transformations as discussed by the authors.
Book ChapterDOI
Selected Topics in Random Walks in Random Environment
TL;DR: Random walk in random environment (RWRE) is a fundamental model of statistical mechanics, describing the movement of a particle in a highly disordered and inhomogeneous medium as a random walk with random jump probabilities as mentioned in this paper.
References
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Journal ArticleDOI
Computer model of crystallization of binary systems; Kinetic phase transitions
A.A. Chernov,J. Lewis +1 more
TL;DR: In this article, a kinetic model of crystallization is used to set up computer simulations of the growth of one-, two-, and three-dimensional binary crystals, and velocities of growth and long and short range order are analyzed.
Related Papers (5)
Kinetics of transformation with nucleation and growth mechanism: Diffusion-controlled reactions
Ge Yu,Y. K. L. Lai,W. Zhang +2 more