Lack of self-averaging, multiscaling, and 1/fnoise in the kinetics of domain growth

The nature of non-self averaging behavior in the kinetics of domain growth is studied by Monte Carlo simulations. Fluctuations in the scaling regime of the two-dimensional spin-flip Ising model are found to involve multiscaling, as is known from other problems, such as percolating resistor networks and diffusion-limited aggregation. The frequency-dependent fluctuations in the scaling regime are found to be 1/f-like: The power spectrum obeys 1/${\omega }^{\phi }$, where ω=2πf is the frequency and φ≊0.9. These results can be tested experimentally.