Scaling Monte Carlo Potts Models by Grain Growth Experiments

Project Sponsor: National Science Foundation (NSF), Division of Design, Manufacture and Industrial Engineering, REU Program

Principal Investigator: Sven K. Esche

Undergraduate Research Assistants: Adam Kalbermatten

Amount: $6,000

Project Duration: June 1, 2004 - May 31, 2005

In this REU project, the undergraduate students will take part in determining an appropriate value for the length scale parameter lambda in Monte Carlo Potts models and in conducting grain growth experiments and simulations for establishing the corresponding time scale relationship.

This work will include: (i) the design of grain growth experiments, (ii) conducting of the experiments, (iii) measurement of the grain sizes using optical microscopes, (iv) determination of parameters by regression analysis of the grain size data using MATLAB, (v) determination of parameters by conducting MC grain growth simulations and (vi) validation of the time scale relationship by comparing the results of additional grain growth experiments and simulations.