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

Abstract

Globally conserved interface-controlled coarsening of fractal clusters exhibits dynamic scale invariance and normal scaling. This is demonstrated by a numerical solution of the Ginzburg-Landau equation with a global conservation law. The sharp-interface limit of this equation is volume preserving motion by mean curvature. The scaled form of the correlation function has a power-law tail accommodating the fractal initial condition. The coarsening length exhibits normal scaling with time. Finally, shrinking of the fractal clusters with time is observed. The difference between global and local conservation is discussed.

4 pages, 3 eps figures

References in corpus (4)

• Electrostatically-Driven Granular Media: Phase Transitions and Coarsening
• The Mesostructure of Polymer Collapse and Fractal Smoothing
• Area-preserving dynamics of a long slender finger by curvature: a test case for the globally conserved phase ordering
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Cited by in corpus (5)

• Phase ordering with a global conservation law: Ostwald ripening and coalescence
• Far-from-equilibrium Ostwald ripening in electrostatically driven granular powders
• Scaling anomalies in the coarsening dynamics of fractal viscous fingering patterns
• Anomalous Dynamic Scaling in Locally-Conserved Coarsening of Fractal Clusters
• Domain Walls and Double Bubbles