Breakdown of scale invariance in the phase ordering of fractal clusters

Massimo Conti, Baruch Meerson, Pavel V. Sasorov

Research output: Contribution to journalArticlepeer-review

31 Scopus citations


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 languageAmerican English
Pages (from-to)4693-4696
Number of pages4
JournalPhysical Review Letters
Issue number21
StatePublished - 1998


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