  Local stresses and pressures always exist in glasses.
  In this letter we consider their effects on the structure and structural
correlations in simple glasses. We find that extreme values of local pressures
are related to well defined local structures. The correlations related to these
extreme stresses extend to full system size and decay as a power law with the
distance.
  This result is especially striking, since at large scales, the total density
fluctuation exhibits exponentially damped decay similar to the decay in simple
liquids. Thus at medium and large distances, the atoms with extreme values of
local pressures exhibit higher degree of correlation than the rest of the
system. These results were found for glasses with very different short range
structure, indicating their general nature.
