Abstract
The stochastic theory of grain growth proposed previously [C. S. Pande, Acta metall. 35, 2671 (1987)] is developed further in this paper. This theory leads to a Fokker-Planck equation for the grain size distribution. Two different “deterministic” terms for this equation, one proposed by Hillert and other by Pande, are compared. It is found that contrary to expectations Hillert's determistic term even with the addition of a “diffusion” like term does not lead to a grain size distribution which could be in agreement with experiments. The deterministic term proposed by Pande, leads to a grain size distribution which is similar to lognormal distribution, and closer to experimental results.
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