The obtained viscosity of our simulated shear-induced melting 2D dusty plasmas using two different methods of Eqs. (4) and (5), as the function of (a) the coupling parameters and (b) the shear rate. Clearly, the viscosity values calculated from these two methods agree with each other, since the obtained data points overlap with each other. Note that, for our simulated shear-induced melting dusty plasmas, the coupling parameter and the shear rate are not independent, like the previous experiments [23].
The viscosity values calculated from our simulated shear-induced melting and uniform liquid data, as the functions of the coupling parameter. Clearly, these obtained viscosity values from these two simulated systems are consistent with each other.