Dynamics of Ordering in Alloys with Modulated Phases

Details Dynamics of Ordering in Alloys with Modulated Phases Dynamics of Ordering in Alloys with Modulated Phases

1993-10-15

arxiv.org/abs/cond-mat/9310039v1

Physics

Condensed Matter

18 pages, 3 figures (postscript files appended), Brandeis-BC93

Scientific paper

10.1103/PhysRevB.49.8608

This paper presents a theoretical model for studying the dynamics of ordering in alloys which exhibit modulated phases. The model is different from the standard time-dependent Ginzburg-Landau description of the evolution of a non-conserved order parameter and resembles the Swift-Hohenberg model. The early-stage growth kinetics is analyzed and compared to the Cahn-Hilliard theory of continuous ordering. The effects of non-linearities on the growth kinetics are discussed qualitatively and it is shown that the presence of an underlying elastic lattice introduces qualitatively new effects. A lattice Hamiltonian capable of describing these effects and suitable for carrying out simulations of the growth kinetics is also constructed.

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