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190] reported on direct linking the Tibase thermodynamic database from CompuTherm and the kinetic software DICTRA to a two-phase field model for modeling growth of precipitates in the ternary system Ti–Al–V. Cha et al. [191] reported on coupling thermodynamic data to a two-phase field model. The only model that presently applies to multiphase transformations in multicomponent alloys is based on the multiphase-field model, initially developed by Steinbach et al. [192] and Steinbach and Pezolla [193] for unary alloys.

AIME 233 (1966) 334. P. Ba´ rczy, J. So´ lyom, Mater. Sci. Forum 77 (1991) 113. G. Mu¨ ller, P. Kyr, Results of Spacelab-1, 5th European Symposium Material Sciences Under Microgravity, SP 222, ESTEC Noordwijk, 1984, p. 141. B. Drevet, D. Camel, M. J. Favier, Acta Mater. 44 (10) (1996) 4071. S. D. thesis RWTH Aachen, 2004, in preparation. D. Q. Jie, Y. C. Ng, Acta Mater. 46 (1998) 3203. P. Magnin, R. Trivedi, Acta Metall. Mater. 39 (1991) 453. B. Kim, J. Liu, N. J. Hunt, Acta Metall. Mater. 43–46 (1995) 2143.

An extension of the Cahn–Hilliard theory to nucleation in multicomponent phase separating systems is due to Hoyt [67]. Other important generalizations of the Cahn–Hilliard theory are the Hohenberg–Halperin [171] C-type field theoretic models in which the time evolution of the nonconserved structural order parameter is coupled to other fields of conserved dynamics. 37 38 U. Hecht et al. / Materials Science and Engineering R 46 (2004) 1–49 Probably the most important continuum model that is able to address simultaneous crystal nucleation and growth is the phase field theory.

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