A Nonlinear Instability Analysis of Crystallization Processes with a Two-Phase Zone


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C.S. Kiminami, C. Bolfarini and W.J. Botta F.




D. V. Alexandrov "A Nonlinear Instability Analysis of Crystallization Processes with a Two-Phase Zone", Journal of Metastable and Nanocrystalline Materials, Vols. 20-21, pp. 468-475, 2004

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July 2004




[1] B. Chalmers: Principles of Solidification (John Wiley & Sons, New York 1964).

[2] M. Flemings: Solidification Processing (McGraw Hill, New York 1974).

[3] V.K. Ravi: Imperfections and Impurities in Semiconductor Silicon (JohnWiley & Sons, New York 1981).

[4] Yu.M. Shashkov: Semiconductor Metallurgy (Metallurgya Publishing House, Moscow 1960).

[5] W.W. Mullins and R.F. Sekerka: J. Appl. Phys. Vol. 35 (1964), p.444.

[6] R.F. Sekerka: J. Appl. Phys. Vol. 36(1) (1965), p.264.

[7] R.F. Sekerka: J. Crystal Growth Vol. 3-4 (1968), p.71.

[8] D.J. Wollkind and L.A. Segel: Phylos. Trans. Roy. Soc., Ser. A. Vol. 268 (1970), p.351.

[9] J.I.D. Alexander, D.J. Wollkind and R.F. Sekerka: J. Crystal Growth Vol. 79 (1986), p.849.

[10] H. Yasuda, N. Notake, K. Tokieda and I. Ohnaka: J. Crystal Growth Vol. 210 (2000), p.637.

[11] D.V. Alexandrov: Acta Mater. Vol. 49 (2001), p.759.

[12] D.V. Alexandrov: J. Crystal Growth Vol. 222 (2001), p.816.

[13] A.C. Fowler: IMA J. Appl. Math. Vol. 35 (1985), p.159.

[14] R.N. Hills, D.E. Loper and P.H. Roberts: Q. J. Mech. Appl. Math. Vol. 36 (1983), p.505.

[15] D.V. Alexandrov: Int. J. Fluid Mech. Res. Vol. 27(2-4) (2000), p.239.

[16] E. Hopf: Comm. Pure Appl. Math. Vol. 1(3) (1948), p.303.

[17] L.D. Landau and E.M. Lifshitz: Fluid Mechanics (Pergamon Press, New York 1959).

[18] H. Hagen: Synergetics. Instability Hierarchies of Self-Organizing Systems and Devices (Springer Verlag, Berlin 1983).

[19] J.T. Stuart: Ann. Rev. Fluid Mech. Vol. 3 (1971), p.347.

[20] J.T. Stuart: J. Fluid Mech. Vol. 9(2) (1960), p.353.

[21] M. Conti and U.M.B. Marconi: Physica A Vol. 280 (2000), p.148.

[22] W. Guo and A. Kar: Acta Mater. Vol. 46(10) (1998), p.3485.

[23] M.G. Milvidskiy, B.M. Turovskiy, L.V. Layner and L.A. Berkova: Nauch. tr. in. -i. proyektn. in-ta redkometallicheskoy prom. Vol. 13 (1964), p.142 [in Russian].

[24] A.I. Landau: Fiz. Metal. i Metallovedeniye Vol. 6(1) (1958), p.148 [in Russian].

[25] V. T.

[25] V.T. Khryapov, V.A. Tatarinov and R.S. Krupyshev: Engineering Experiments in Weightlessness, Ural Science Center of the USSR Academy of Sciences, Sverdlovsk (1983), p.59 [in Russian].

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