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see also Tamas Vicsek, Fractal Growth Phenomena (World Scientific, Singapore, 1989);, for the theory of Crystal Growth, general textbooks are, for example, Ivan V. Markov, Crystal Growth for Beginners (World Scientific, Singapore, 1995);, A. A. Chernov, Modern Crystallography III, Springer Series in Solid-State Sciences 36 (Springer, Berlin, 1984)
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W.W. Mullins and R.F. Sekerka, J. Appl. Phys. 35, 444 (1964);see also Tamas Vicsek, Fractal Growth Phenomena (World Scientific, Singapore, 1989);for the theory of Crystal Growth, general textbooks are, for example, Ivan V. Markov, Crystal Growth for Beginners (World Scientific, Singapore, 1995);A. A. Chernov, Modern Crystallography III, Springer Series in Solid-State Sciences 36 (Springer, Berlin, 1984).
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The amplification rate of a wave (fluctuation) depends on its wavelength. Only the wave with the largest amplification rate can survive during the development of the fluctuations, and other modes will be observed as lower-amplitude noise. The constant rate of (Formula presented) means that the growth is exponential in time; hence, small differences in this constant result in large differences in the fluctuation amplitude at long times. In this sense, a mode distribution like that in Fig. 44 will be hidden in the external noise and thus not observed in experiments. This situation is the same as that in the original MS theory
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The amplification rate of a wave (fluctuation) depends on its wavelength. Only the wave with the largest amplification rate can survive during the development of the fluctuations, and other modes will be observed as lower-amplitude noise. The constant rate of (Formula presented) means that the growth is exponential in time; hence, small differences in this constant result in large differences in the fluctuation amplitude at long times. In this sense, a mode distribution like that in Fig. 44 will be hidden in the external noise and thus not observed in experiments. This situation is the same as that in the original MS theory.
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