Diffusion coefficients of dusty plasmas in electric field

In this work, the effects of normalized electric field ( E * ) on parallel diffusion coefficients ( D || ) and perpendicular diffusion coefficients ( D ┴ ) are investigated through equilibrium molecular dynamics (EMD) simulations in three-dimensional strongly coupled dusty plasmas. The self-diffusion coefficients ( D E ) for three dimensions also have been calculated for the wide range of plasma Coulomb coupling (Γ) and Debye screening ( κ ) parameters with the various system sizes. The D E , D || and D ┴ are investigated using the Einstein relation with EMD simulations. The effects of constant and varying normalized E * on D || and D ┴ have been computed for the different system sizes. Simulation outcomes are outstanding in the combined effects of E * and κ and give well-matched D E , D || ( E * = 0, 0.01) and D ┴ ( E * = 0, 0.01) values at low-intermediate to large Γ with varying small-intermediate to large N . The D || and D ┴ in the limit of varying E * values are accounted for an appropriate range Γ and κ parameters. At varying E * values, it is revealed that the D || increases and D ┴ decreases with an increase in E * ; however, it decreases with an increase in Γ but within statistical limits. The simple analytical temperature scaling law is tested for variation of scaled (Einstein frequency) D E , D || ( E * = 0.01) and D ┴ ( E * = 0.01). It has been shown that the present EMD simulations data obtained for the appropriate range of E * strength up to 0.01 ≤ E * ≤ 1.0 to understand the phase transitions, fundamental nature of E * linearity and anisotropy of dusty plasma systems. Graphical abstract Diffusion coefficients of dusty plasmas in electric field by using molecular dynamics simulation.