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JOURNALS // Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki // Archive

Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2009 Issue 2, Pages 110–117 (Mi vuu19)

This article is cited in 2 papers

COMPUTER SCIENCE

Generalized model of kinetics of formation of a new phase

T. B. Ivanova, V. V. Vas'kin

Udmurt State University

Abstract: The generalized model of formation of a new phase is considered. The basic stages of process of growth are gathered in a model at phase transition of the first sort. The numerical solution of the kinetic equation of Fokker–Planck is received. Dependence of the solution on parametres of system is investigated. Areas of applicability of assumptions made by Zeldovich, Lifshits and Slezov are revealed. Also it is shown, that depending on parametres of system it is possible to reserve both equilibrium distribution, and automodelling distribution of Lifshits–Slezov. At some values of parametres the equation has the oscillatory solution.

Keywords: phase transition, nucleation, coalescence, Fokker–Planck kinetic equation.

UDC: 532.785:532.73-3

MSC: 80A22

Received: 03.03.2009



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