title: Anomalous dynamic scaling in locally conserved coarsening of fractal clusters.
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.
authors.affiliation: The Racah Institute of Physics, Hebrew University of Jerusalem, Jerusalem 91904, Israel.
authors.forename: Azi
authors.initials: A
authors.lastname: Lipshtat
authors.forename: Baruch
authors.initials: B
authors.lastname: Meerson
authors.forename: Pavel V
authors.initials: PV
authors.lastname: Sasorov