Abstract
The stochastic theory of grain growth proposed previously [C. S. Pande, Acta metall. 35, 2671 (1987)] is examined and discussed in the light of a recent criticism [N. Ryum and O. Hunderi, Acta metall. 37, 1375 (1989)]. We show that the theory is able to answer all major objections raised by Ryum and Hunderi. In particular we develop further the stochastic theory utilizing an N dimensional diffusion term, ( N = 1, 2, or 3 and show mathematically that for N = 3 the volume of the specimen is trictly conserved. The grain size distribution is obtained for three dimensions in closed analytical form and is found to be approximately lognormal, in good agreement with experiments.
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