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Breakdown of Scale Invariance in the Phase Ordering of Fractal Clusters

Massimo Conti·Baruch Meerson·Pavel V. Sasorov
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Abstract

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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Massimo Conti, Baruch Meerson, Pavel V. Sasorov. 1998-04-07. Breakdown of Scale Invariance in the Phase Ordering of Fractal Clusters. https://doi.org/10.1103/physrevlett.80.4693

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