Funct. Mater. 2014; 21 (2): 217-219.

http://dx.doi.org/10.15407/fm21.02.217

On phase trajectory of dynamic system "directionally crystallized binary melt"

V.M.Kanishchev, V.P.Semynozhenko

Institute for Single Crystals, STC &qout;Institute for Single Crystals", National Academy of Sciences of Ukraine, 60 Lenin Ave., 61001 Kharkiv, Ukraine

Abstract: 

The origin of return and self-crossing points on the parametrically specified curves of crystallization rate vs. impurities concentration at the interface during pulling a crystal from a binary melt at constant rate in the initial transitional stage has been explained.

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References: 

1.A.A.Andronov, A.A.Vitt, S.E.Khaikin, Theory of oscillations. Fizmatgiz, Moscow (1959) [in Russian].

2. V.M. Kanishchev, Zh. Exper. i Teor. Fiz., 144, 1165 (2013).

3. I.D.Tchueshov. Introduction to the Theory of Infinite-dimensional Dissipative Systems, Acta, Kharkiv (1999) [in Russian].

4. http://matemonline.com/2011/06/cikloidy/

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