1. A system for image analysis comprising: a detector configured to receive an image of a sample, isolate particles from a background image of the sample image and detect positions of the isolated particles; a first operator configured to calculate a static degree of randomness values of the particles using Lennard-Jones potentials based on the detected positions; and a second operator configured to obtain a dynamic degree of randomness values of particles based at least in part on the sum of tensile forces between particles by implicit integration added until the particles reach a dynamic equilibrium, and calculate a positional degree of randomness of particles based at least in part on subtraction of the dynamic degree of randomness values from the static degree of randomness values.