Normal scaling in globally conserved interface-controlled coarsening of fractal clusters

Avner Peleg, Massimo Conti, Baruch Meerson

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


We find that globally conserved interface-controlled coarsening of diffusion-limited aggregates exhibits dynamic scale invariance (DSI) and normal scaling. This is demonstrated by a numerical solution of the Ginzburg–Landau equation with a global conservation law. The general sharp-interface limit of this equation is introduced and reduced to volume preserving motion by mean curvature. A simple example of globally conserved interface-controlled coarsening system: the sublimation/deposition dynamics of a solid and its vapor in a small closed vessel, is presented in detail. The results of the numerical simulations show that the scaled form of the correlation function has a power-law tail accommodating the fractal initial condition. The coarsening length exhibits normal dynamic scaling. A decrease of the cluster radius with time, predicted by DSI, is observed. The difference between global and local conservation is discussed.

Original languageAmerican English
Pages (from-to)6
Number of pages1
JournalPhysical Review E
Issue number3
StatePublished - 2001


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