Dynamic scaling and self-organized criticality in diffusion fronts growth

We study the dynamics of the growth process of fluctuating diffusion fronts of interacting particles. The description of the kinetics is based on the mean field master equation within the framework of a lattice gas model. We analyse the time evolution of diffusion fronts by a dynamic scaling approac h, and find that the scaling behaviour of these interfaces is characterised by anomalously large exponents which agree with the numerical and experime ntal results. Using a theoretical model of diffusion fronts' fluctuations d eveloped in [1], we have also illustrated the diffusion fronts' propagation via avalanches.