About this Abstract |
Meeting |
2020 TMS Annual Meeting & Exhibition
|
Symposium
|
Phase Transformations and Microstructural Evolution
|
Presentation Title |
Beyond Modified Mean Field: A Case for a Stochastic Grain Growth Model in the Short Time Limit |
Author(s) |
Chandra S Pande, Alex E. Moser |
On-Site Speaker (Planned) |
Alex E. Moser |
Abstract Scope |
We discuss the basic mechanism of grain growth in three dimensions in metals and alloys. It is argued, a comprehensive grain growth model is best based on a stochastic process described by a Fokker Planck equation. We show that this concept is sufficient to determine almost all features of grain growth in general terms. The existence of the von Neumann law and its counterpart in three dimensions enables us to provide an explicit form of the Fokker Planck equation and thus determine many features of grain growth in great detail in the long time limit. Finally, we illustrate a path towards an analytical solution for three dimensional grain growth in the short time limit. |
Proceedings Inclusion? |
Planned: Supplemental Proceedings volume |