Calculation of correlation lengths in 2D Lennard-Jones fluids

The process of spinodal decomposition in two-dimensional system that was obtained by molecular dynamics simulation has been analysed using the correlation of reciprocal areas of the Voronoi cells. Correlation lengths dependence  n the temperature and the critical exponent of the LJ12-6 system in the fluctuation region by the general renormalization group (RG) framework were calculated. We showed the agreement of the calculated critical  exponent ν with both experiments and theory. The proposed methodology for correlations of the reciprocal areas of the Voronoi cells is well applicable in the experiments with 2D colloidal systems.