Fluid Droplet growth in a cross-linked network

The kinetics of nucleation and growth of liquid droplets are recently acquired some biological significance since its implications of the phase separation of protein with living cells. However, this process in the presence of an elastic filament network remains poorly understood. We investigated such a phase separation process by a Brownian dynamics simulation of a size-changeable disk, where the disk size depends on the mechanical forces from the network and chemical potential of the minority phase. The translational movement of the disk is governed by its interaction with cross-linked Gaussian potential. The results give us insight into how droplet growth against the retardation of the filament in different regimes and how the network enhances the diffusion of the disk.