Breakdown of Scale Invariance in the Phase Ordering of Fractal Clusters

Details Breakdown of Scale Invariance in the Phase Ordering of Fractal Clusters Breakdown of Scale Invariance in the Phase Ordering of Fractal Clusters

1998-04-07

arxiv.org/abs/cond-mat/9804080v1

PRL 80, 4693 (1998)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 4 figures, RevTex, submitted to PRL

Scientific paper

10.1103/PhysRevLett.80.4693

Our numerical simulations with the Cahn-Hilliard equation show that coarsening of fractal clusters (FCs) is not a scale-invariant process. On the other hand, a typical coarsening length scale and interfacial area of the FC exhibit power laws in time, while the mass fractal dimension remains invariant. The initial value of the lower cutoff is a relevant length scale. A sharp-interface model is formulated that can follow the whole dynamics of a diffusion controlled growth, coarsening, fragmentation and approach to equilibrium in a system with conserved order parameter.

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