Anomalous dynamic scaling in locally conserved coarsening of fractal clusters

Azi Lipshtat*, Baruch Meerson, Pavel V. Sasorov

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


We report two-dimensional phase-field simulations of locally conserved coarsening dynamics of random fractal clusters with fractal dimension D=1.5 and 1.5. The correlation function, cluster perimeter, and solute mass are measured as functions of time. Analyzing the correlation function dynamics, we identify two different time-dependent length scales that exhibit power laws in time. The exponents of these power laws do not show any dependence on D; one of them is apparently the "classical" exponent 1/3. The solute mass versus time exhibits dynamic scaling with a D-dependent exponent, in agreement with a simple scaling theory.

Original languageAmerican English
Article number050501
Pages (from-to)050501/1-050501/4
JournalPhysical Review E
Issue number5
StatePublished - May 2002


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