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Published online by Cambridge University Press: 15 February 2011
We have developed a model of dendritic grain growth in the solidification process of metallic alloys in which the output of a nanoscopic molecular dynamics simulation, based on the use of many-body interatomic potentials, provides the input into the microscopic nucleation and growth model of Rappaz et al. The microscopic model itself is also extended by the introduction of a stochastic dynamics, via the Ito stochastic calculus, to account for the random fluctuations in the growth trajectory of the dendrite tip. The model is applied to the industrially important Sn-Pb alloy and its result is compared with that obtained with the Rappaz model.