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

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

2000-07-13

arxiv.org/abs/cond-mat/0007220v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 3 eps figures

Scientific paper

10.1103/PhysRevE.64.036127

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.

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