Orientational order and topological defects in two-dimensional Yukawa systems

• We model a formation of topological defects and g6(r)g6(r) in non-ideal Yukawa systems.
• A shape of g6(r)g6(r)-function is completely determined by the value of occurring defects.
• Normalized g6⁎(r)-curves are almost the same within various phases of 2D-systems.
• We propose new approximations of g6(r)g6(r) for systems with limited number of particles.

New numerical results concerned with formation of orientational order and topological defects in non-ideal systems of particles, interacted via screened Coulomb potential, are presented. Calculations have been performed in a wide range of parameters, corresponding to the experimental conditions in the laboratory dusty plasmas. Relations between a number of topological defects and shape of a bond-angular correlation function are obtained for the first time.