Eur. Phys. J. Special Topics 229, 253-263 (2020)
https://doi.org/10.1140/epjst/e2019-900139-3

Research Article

Transient dynamics of solute bands in dilute binary alloys

¹ Institute for Problems in Mechanical Engineering, RAS, 199178 V.O., Bolshoj pr., 61, St. Petersburg, Russia
² Department of Theoretical and Mathematical Physics, Laboratory of Multi-Scale Mathematical Modeling, Ural Federal University 620000 Ekaterinburg Russia

^a e-mail: alekorzh@mail.ru

Received: 14 July 2019
Published online: 11 February 2020

Abstract

This article presents an analytical method for calculating a transient dynamic regime that precedes a formation of periodic impurity bands during a rapid crystallization of dilute binary melts. Obtained results may be used for creating impurity superstructures with prescribed impurity profiles.