  We study equilibrium dynamics of a symmetrical binary Lennard-Jones fluid
mixture near its consolute criticality. Molecular dynamics simulation results
for shear viscosity, $\eta$, from microcanonical ensemble are compared with
those from canonical ensemble with various thermostats. It is observed that
Nos\'{e}-Hoover thermostat is a good candidate for this purpose and so, is
adopted for the quantification of critical singularity of $\eta$, to avoid
temperature fluctuation (or even drift) that is often encountered in
microcanonical simulations. Via finite-size scaling analysis of our simulation
data, thus obtained, we have been able to quantify even the weakest anomaly, of
all transport properties, that shear viscosity exhibits and confirm the
corresponding theoretical prediction.
