Simulation Study Of Properties And Statistics Of Two-dimensional Yukawa Liquid

In this thesis,molecular dynamics simulations are used to study two topics,which are the superdiffusion of 2D dusty plasma in the externally applied perpendicular magnetic fields,and the heat capacity of 2D dusty plasma around the solid-liquid phase transition point.The intermediate scattering function and the probability distribution function are used to characterize the mass transport of 2D Yukawa liquids under strong perpendicular magnetic fields in the first topic.The results show that the motion of particles tends to be more superdiffusive under stronger perpendicular magnetic fields.This conclusion well agrees with the previous finding using the diagnostic of the mean-squared displacement.More importantly,the results show that the distribution of the displacement of 2D dusty plasma calculated from molecular dynamics simulation deviates from the traditional Gaussian statistics to the Lévy statistics,under stronger perpendicular magnetic fields.The heat capacity around the solid-liquid phase transition point of 2D dusty plasma is studied in the second topic.The obtained results show that the heat capacity around the melting point is increasing.It seems that this increase of the heat capacity around the melting point suggests the possible existance of the latent heat for the solid-liquid phase transition of 2D Yukawa systems.This thesis includes a systematic characterization of the mass transport for the 2D Yukawa liquids under strong perpendicular magnetic fields,as well as a preliminary analysis of statistics for the displacements.Moreover,this thesis also provides a theoretical suggestion of the possible existence of the latent heat around the solid-liquid phase transition for 2D Yukawa systems.