Relationship between relaxation time and diffusion of magnetized two-dimensional Yukawa liquids

Abstract

Structural relaxation and self-diffusion of magnetized two-dimensional (2D) Yukawa liquids are investigated using Langevin dynamical simulations. The structural relaxation time τα is obtained from the self-intermediate scattering function, while the self-diffusion coefficient D is calculated from the mean-squared displacement. It is discovered that, for the magnetized 2D Yukawa liquids with the coupling parameter of Γ, the relationship between τα and D can be expressed as D ∝ (1/ταΓ)ξ with two distinct values of the exponent ξ at low and high temperatures, respectively. At low temperatures, the exponent ξ decreases with the applied magnetic field, which is attributed to the dynamical heterogeneity caused by the magnetic field. At high temperatures, it is found that both D and ταΓ obey the Arrhenius behaviors, reasonably leading to the discovered D ∝ (1/ταΓ)ξ relationship.