Eur. Phys. J. Special Topics 149, 19-26 (2007)
https://doi.org/10.1140/epjst/e2007-00241-5

Estimation of critical dislocation distances

A quantitative study beyond BCF theory

¹ Computational Materials Engineering, Center for Computational Engineering Science, Institute of Minerals Engineering, RWTH Aachen University, Mauerstrasse 5, 52064 Aachen, Germany
² Department of Mathematics, Faculty of Nuclear Science and Physical Engineering, Czech Technical University in Prague, Trojanova 13, 120 00 Prague, Czech Republic

Abstract

This paper describes in detail quantitative studies of the spiral mode of crystal growth, particularly focussing on the critical dislocation distance between two spirals rotating in opposite direction using the model derived in (Cont. Mech. Thermodynamics 17, 373 (2006)) from the classical BCF model presented in (Philos. Trans. R. Soc. London Ser. A 243, 299 (1951)). Based on our numerical studies we can show that the critical dislocation distance is a function of the diffusion coefficient and the temperature coupling constant as well as a function of the desorption rate. However, it is not a function of the flux rate.