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Anomalous dynamic scaling in locally conserved coarsening of fractal clusters
Azi Lipshtat1, Baruch Meerson, Pavel V Sasorov
1The Racah Institute of Physics, Hebrew University of Jerusalem, Jerusalem 91904, Israel.
Abstract:
We report two-dimensional phase-field simulations of locally conserved coarsening dynamics of random fractal clusters with fractal dimension D=1.7 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.
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