Inspired by biological systems in which hundreds or thousands of different types of proteins interect within a cell, we use molecular dynamics simulations in 2d to study multi-component systems in the large number of species limit, i.e., all particles differ from each other. All the particles are assumed to be of same size and interacts via Lennard-Jones (LJ) potential but interaction parameter differ for different pairs of particles which are generated at random from uniform or peaked probability distributions. Both local as well as global quantities of the systems are analyzed are analyzed at different temperatures above the melting transition and the results are compared with those for a one component LJ system.