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Phase-separation kinetics in a model with order-parameter-dependent mobility

1997/07/01 by Sanjay Puri, Alan J. Bray, Alan Bray +2
Earth and Planetary Sciences · Materials Science · Physics and Astronomy · #Block Copolymer Self-Assembly #Solidification and crystal growth phenomena #cond-mat #nanoparticles nucleation surface interactions

paper · pdf · doi:10.1103/physreve.56.758

To appear in PRE, figures available on request

openalex publication_date 1997/07/01 · arxiv created 1997/09/10 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present extensive results from two-dimensional simulations of phase-separation kinetics in a model with order-parameter dependent mobility. We find that the time-dependent structure factor exhibits dynamical scaling and the scaling function is numerically indistinguishable from that for the Cahn-Hilliard (CH) equation, even in the limit where surface diffusion is the mechanism for domain growth. This supports the view that the scaling form of the structure factor is ``universal'' and leads us to question the conventional wisdom that an accurate representation of the scaled structure factor for the CH equation can only be obtained from a theory which correctly models bulk diffusion.

Citations