Model for investigation of charged particles localization in the presence of the external magnetic field

This paper presents a mathematical model for the study of the localization of the strongly coupled charged particles in an external magnetic field. Based on the molecular dynamics method computer simulation of the system of charged particles, interacting via a screened Coulomb potential (Yukawa potential), was performed with the imposition of an external uniform magnetic field. To solve the equations of motion of particles the high-speed Verlet algorithm was used. The constructed mathematical model also includes equations for the cage correlation functions, for the first time fixed separately for cases along and across the magnetic field. We analyzed the influence of the strong coupling and strong magnetic field on the localization of the particles along and across the magnetic field on the basis of the equations of the mathematical model. Also, the analysis of the changing in the particle trajectories, when the magnetic field increases, was made. The phase portraits were constructed. The results were obtained for a wide range of the system parameters (the coupling parameter, the strength of magnetic field, the screening parameter).