Normal scaling in globally conserved interface-controlled coarsening of fractal clusters - art. no. 036127

We find that globally conserved interface-controlled coarsening of diffusio n-limited aggregates exhibits dynamic scale invariance (DSI) and normal sca ling. This is demonstrated by a numerical solution of the Ginzburg-Landau e quation with a global conservation law. The general sharp-interface limit o f this equation is introduced and reduced to volume preserving motion by me an curvature. A simple example of globally conserved interface-controlled c oarsening system: the sublimation/deposition dynamics of a solid and its va por in a small closed vessel, is presented in detail. The results of the nu merical simulations show that the scaled form of the correlation function h as a power-law tail accommodating the fractal initial condition. The coarse ning length exhibits normal dynamic scaling. A decrease of the cluster radi us with time, predicted by DSI, is observed. The difference between global and local conservation is discussed.