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Anomalous Dynamic Scaling in Locally-Conserved Coarsening of Fractal Clusters

Azi Lipshtat·Baruch Meerson·Pavel V. Sasorov
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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 are independent of D, one of them is apparently the classic 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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Azi Lipshtat, Baruch Meerson, Pavel V. Sasorov. 2002-01-03. Anomalous Dynamic Scaling in Locally-Conserved Coarsening of Fractal Clusters. https://doi.org/10.1103/physreve.65.050501

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