  The universal anomalous vibrational and thermal properties of amorphous
solids are believed to be related to the local variations of the elasticity.
Recently it has been shown that the vibrational properties are sensitive to the
glass's stability. Here we study the stability dependence of the local elastic
constants of a simulated glass former over a broad range of stabilities, from a
poorly annealed glass to a glass whose stability is comparable to laboratory
exceptionally stable vapor deposited glasses. We show that with increasing
stability the glass becomes more uniform as evidenced by a smaller variance of
local elastic constants. We find that, according to the definition of local
elastic moduli used in this work, the local elastic moduli are not spatially
correlated.
