Self-similarity in the regions of the cooperative displacement

Abstract
Molecular dynamics simulations in fluids and supercooled fluids of a two dimensional system have been carried out. The effect of the system size has been checked by comparing the smaller size system (10,000 atoms) with the larger size system (250,000 atoms). The shapes of the regions showing the (linearly) correlated motion of atoms are very similar regardless of size. The fractal dimension is about 1.5 dimension which has been calculated in the 2-D binary mixture of supercooled fluids. The regions of this motion spread widely for the larger system, especially in the highly supercooled fluids and glasses.