Radial fluctuations induced stabilization of the ordered state in two dimensional classical clusters

Melting of two dimensional (2D) clusters of classical particles is studied using Brownian dynamics and Langevin molecular dynamics simulations. The particles are confined by a circular hard wall or a parabolic external potential and interact through a dipole or a screened Coulomb potential. We found that with decreasing strength of the inter--particle interaction clusters with short-range inter-particle interaction which are confined by a hard wall exhibit a re-entrant behavior in its orientational order.