# Dissipative structure formation during crystallization of alloys under high-nonequilibrium conditions

Source: [Dissipative structure formation during crystallization of alloys under high-nonequilibrium conditions](<https://www.sota2.com/research/paper/68fa21917a2b558e29337ee8>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-28T13:52:15.607Z

Authors: L.P.Tarabaev, V.O.Esin

Published: 2008-04-11T10:06:51.000Z

## Abstract

The crystallization of a binary system is investigated in computer model which takes into account a temperature dependence of diffusion coefficient and a nonequilibrium partition of dissolved component of the alloy. The dependence of interface velocity on an undercooling at the dendrite tip is obtained during rapid solidification of Fe-B and Ni-B systems. The morphological transition which is conditioned by change from a diffusion growth regime to thermal growth at some critical undercooling is detected. This transition is characterized by discontinuous magnification of the dendrite growth velocity. Values of a critical undercooling and a growth velocity discontinuity depend both on a degree of an anisotropy of a kinetic coefficient, and on difference in energies of activation for atomic kinetics and for diffusion on an interface.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/0804.1868>)

[PDF](<https://arxiv.org/pdf/0804.1868.pdf>)