Transport Properties of Two-dimensional Magnetized Yukawa Monolayers

Stochastic transport of a two-dimensional dusty plasma liquid with a perpendicular magnetic field is investigated using Brownian dynamical simulations. The mean-squared-displacement and intermediate scattering function both suggest that the motion of dust particles tends to be more superdiffusive when the magnetic field is strong. The vibrational density of states of particles has only one dominant peak frequency, which can be expressed as a function of the cyclotron and plasma frequencies, revealing that the cyclotron motion has been coupled with the thermal motion. It is also found that the statistics of dust motion with a strong magnetic field tend to deviate from the classical Maxwellian distribution. The shear viscosity and thermal conductivity have been estimated using the Green-Kubo relations with the simulation data. As the magnetic field increases, the shear viscosity increases when the Yukawa liquid is cold; however, when the Yukawa liquid is hot, the variation trend of the shear viscosity is reverse. When the magnetic field increases, the thermal conductivity tends to be suppressed due to the strong cyclotron motion.