Elastic constants of a two-dimensional colloidal crystal within the model of the poisson-boltzmann equation

The model of two-dimensional charge stabilized colloidal crystal with the quadratic lattice is considered. The study is carried out within the theory on the base of the Poisson-Boltzmann non-linear differential equation. The method of the numerical experiment is described, which is based on the stress-strain dependence determination. The results of the modeling of the elastic constants are adduced in the wide range of the lattice parameter values.