Skip to main content
U.S. flag

An official website of the United States government

Official websites use .gov
A .gov website belongs to an official government organization in the United States.

Secure .gov websites use HTTPS
A lock ( ) or https:// means you’ve safely connected to the .gov website. Share sensitive information only on official, secure websites.

Grain Size Distribution in Two Dimensions in the Long Time Limit

Published

Author(s)

Geoffrey B. McFadden, C.S. Pande, K.P. Cooper

Abstract

It is shown that the inclusion of a "noise" term in the growth rate of individual grains leads to a stochastic model that provides a more realistic description of grain growth phenomenon. The resulting Fokker-Planck equation for the grain size distribution is solved numerically due to the difficulties in obtaining an analytical solution. The analysis is limited to two dimensions and assumes quasi-stationary distributions in the long time limit. The resulting grain size distribution is shown to be in agreement with that obtained from computer simulations, indicating the validity of the stochastic approach.
Citation
Acta Materialia
Volume
56

Keywords

Fokker-Planck equation, grain growth, grain size distribution function, similarity solution, thin films

Citation

McFadden, G. , Pande, C. and Cooper, K. (2008), Grain Size Distribution in Two Dimensions in the Long Time Limit, Acta Materialia, [online], https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=152126 (Accessed July 25, 2024)

Issues

If you have any questions about this publication or are having problems accessing it, please contact reflib@nist.gov.

Created July 8, 2008, Updated June 2, 2021