Melting of small clusters with Yukawa interaction potential

In present work, the results of the numerical simulation of the dynamics of twodimensional clusters of 7 and 18 particles interacting via the Yukawa potential are presented. The simulation was carried out by the Langevin molecular dynamics method. We have numerically obtained the MFPT entropy functions for the systems of 7 and 18 particles for the various values of kinetic temperature, corresponding to the conditions of the laboratory experiments with gas-discharge dusty plasma. Three phase states of the considered small systems are registered: crystal, liquid and transitional. The mechanism of phase transitions in the systems under study is described. The suggested technique of the analysis of the system dynamics can be applied to the structures as small as desired.