Shear viscosity of electrorheological complex plasmas

Abstract In this paper, we investigate the behavior of shear viscosity for three-dimensional electrorheological complex plasmas (CPs) liquids by using the computational method (molecular dynamics simulations) under an external AC electric field ( M T ). The Green–Kubo formula is used to calculate the shear stress autocorrelation function ( A η ( t )) and their integrals (coefficients, η ) under the influence of M T , across numerous values of CPs parameters. By comparing the presented simulation results obtained under the absence of M T (=0.0) and at equilibrium strength ( M T = 0.007), we analyze and discuss their implications in relation to existing theoretical, simulation, and experimental findings. Our observations demonstrate that the M T significantly influences the shear viscosity (dynamics) of CPs. Simulation results demonstrated that decay, magnitude, and time of A η ( t ) gradually decreased with increasing the M T , and coefficients η increased in the order of magnitude as expected. These results identified three distinct regimes: a slight decrease in η at low M T intensities, high increase at intermediate, and a relatively constant behavior at higher M T intensities. We demonstrate that employing the Green–Kubo relation for effective interparticle potential in CPs yields safe, reliable, and accurate estimations of M T effects on shear viscosity. Our findings of η demonstrate the electrorheological characteristics of CPs, offering insights into phase transitions using electric fields.