English

Dynamics of Ordering in Alloys with Modulated Phases

Condensed Matter 2009-10-22 v1

Abstract

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.

Keywords

Cite

@article{arxiv.cond-mat/9310039,
  title  = {Dynamics of Ordering in Alloys with Modulated Phases},
  author = {Bulbul Chakraborty},
  journal= {arXiv preprint arXiv:cond-mat/9310039},
  year   = {2009}
}

Comments

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