K. Vollmayr et al., COOLING-RATE EFFECTS IN AMORPHOUS SILICA - A COMPUTER-SIMULATION STUDY, Physical review. B, Condensed matter, 54(22), 1996, pp. 15808-15827
Using molecular-dynamics computer simulations we investigate how in si
lica the glass transition and the properties of the resulting glass de
pend on the cooling rate with which the sample is cooled. By coupling
the system to a heat bath with temperature T-b(t), we cool the system
linearly in time, T-b(t) = T-i-gamma t, where gamma is the cooling rat
e. In qualitative accordance with experiments, the temperature depende
nce of the density shows a local maximum, which becomes more pronounce
d with decreasing cooling rate. We find that the glass transition temp
erature T-g is in accordance with a logarithmic dependence on gamma. T
he enthalpy, density, and thermal expansion coefficient for the glass
at zero temperature decrease with decreasing gamma. We show that also
microscopic quantities, such as the radial distribution function, the
bond-bond angle distribution function, the coordination numbers, and t
he distribution function for the size of the rings, depend significant
ly on gamma. We demonstrate that the cooling-rate dependence of these
microscopic quantities is significantly more pronounced than the one o
f macroscopic properties. Furthermore, we show that these microscopic
quantities, as determined from our simulation, are in good agreement w
ith the ones measured in real experiments, thus demonstrating that the
used potential is a good model for silica glass. The vibrational spec
trum of the system also shows a significant dependence on the cooling
rate and is in qualitative accordance with the one found in experiment
s. Finally we investigate the properties of the system at finite tempe
ratures in order to understand the microscopic mechanism for the densi
ty anomaly. We show that the anomaly is related to a densification and
subsequent opening of the tetrahedral network when the temperature is
decreased, whereas the distance between nearest neighbors, i.e., the
size of the tetrahedra, does not change significantly.