Abstract
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.
Original language | American English |
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Pages (from-to) | 4693-4696 |
Number of pages | 4 |
Journal | Physical Review Letters |
Volume | 80 |
Issue number | 21 |
DOIs | |
State | Published - 1998 |