FRACTIONAL DYNAMICS IN PHASE ORDERING PROCESSES

The growth kinetics of a system with O(n) symmetric order parameter quenched into the ordered phase from the disordered phase, is considered based on the fractional dynamics model which is the time-dependent Ginzburg-Landau (TDGL) model with long-range interactions and locally non-conserved but globally conserved order parameter. A solution for the spatial correlation function in the spherical limit (n=∞) displays a multiscaling property. This multiscaling disappears in cases of large but finite n or pure non-conserved dynamics. It is found that the spatial correlation function in the fractional dynamics model is essentially the same as that in conventional conserved model for large n, while the growth exponent depends on the model.