Diffusion of three-dimensional one-component plasmas in an electric field*

The effects of the external AC electric field on self-diffusion coefficients in perpendicular and parallel directions are investigated using the Stokes-Einstein (S-E) and Green-Kubo (G-K) formulas. For this, we employed the molecular dynamics (MD) simulations method for three-dimensional (3D) one-component plasmas (OCPs) to compute the perpendicular (D┴) and parallel (D_║) diffusion coefficients. The effects of uniaxial (z-axis) AC electric field (M_T) on diffusive characteristics for OCPs have been investigated along with various values of plasma Coulomb coupling and M_T. The new MD outcomes demonstrate that the D_┴ decreased under the intermediate to large M_T strength, and D_║ increased with an increase under moderate M_T strength. Both D_┴ and D_║ and remained nearly constant for low M_T values. It is also observed the S-E and G-K relations provide near-similar results for the entire similar parameters. The investigations show that the current EMD scheme is more efficient for noni-deal gas-like, liquid-like, and solid-like states of strongly coupled OCPs. These investigations are significant to understand the diffusivity, phase transitions and rheological behaviors for the systems of charged particles, colloidal suspensions, and dusty plasma systems.