Abstract
We numerically examine
nonlinear rheology of a highly supercooled two-di men sional fluid
in shear flow via molecular-dynamics simulation.
The viscosity exhibits marked shear-thinning behavior when
the shear rate 
exceeds the inverse of the α
relaxation time τα.
Bond breakage events among particle pairs are found to occur
collectively in clusters.
The characteristic size ξ of such clusters
grows strongly with lowering the temperature
and decreases rapidly with increasing
as ξ ∼ τb()1/4. Here
1/τb() is the bond breakage rate
tending to
1/τα for τα ≪ 1
and growing as for τα ≫ 1.
The viscosity is of order τb() in glassy states.
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