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, wherein the first operator is configured to calculate enemy values of a set of pairs of the nearest neighboring articles based at least in part on the Lennard-Jones potential equation V mod (r): V mod ⁡ ( r ) = ( V mod ⁡ ( R * ) , r < R * V mod ⁡ ( r ) , r ≥ R * ) where r denotes a distance between the neighboring particles, and R* denotes a preset threshold value for preventing divergence of the energy values of the neighboring particle pairs.