Ostwald ripening: an approach with dynamical systems

作者: F.S. Lameiras

DOI: 10.1590/S1516-14391999000300005

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摘要: This approach assumes three functions independently acting on a set of microparticles. The first one, w1, concerns re-distribution mass to decrease the surface energy. second w2, increase entropy microparticle set. third w3, is further that vanishes microparticle. Once vanished, its distributed among neighbors. w1 and w3 release energy, whereas w2 absorbs Part energy released should be available sustain w2. action frequency amount exchanged in each iteraction, fraction size vanishing can varied. As dynamical system formed by act an initial set, it observed evolution resembling Ostwald ripening concerning steady-state distribution growth.

参考文章(7)
Frederick N. Rhines, Kenneth R. Craig, Robert T. DeHoff, Mechanism of steady-state grain growth in aluminum Metallurgical Transactions. ,vol. 5, pp. 413- 425 ,(1974) , 10.1007/BF02644109
N. Rivier, Statistical crystallography Structure of random cellular networks Philosophical Magazine Part B. ,vol. 52, pp. 795- 819 ,(1985) , 10.1080/13642818508240637
R.D. Vengrenovitch, On the ostwald ripening theory Acta Metallurgica. ,vol. 30, pp. 1079- 1086 ,(1982) , 10.1016/0001-6160(82)90004-9
O. Hunderi, N. Ryum, Computer simulation of stagnation in grain growth Acta Metallurgica. ,vol. 29, pp. 1737- 1745 ,(1981) , 10.1016/0001-6160(81)90007-9
Michael F. Barnsley, Fractals Everywhere ,(1988)
F.S. Lameiras, A.M.M. dos Santos, P. Pinheiro, Microparticle restructuring Scripta Metallurgica et Materialia. ,vol. 28, pp. 1435- 1440 ,(1993) , 10.1016/0956-716X(93)90495-E