28 research outputs found
Crossover behavior and multi-step relaxation in a schematic model of the cut-off glass transition
We study a schematic mode-coupling model in which the ideal glass transition
is cut off by a decay of the quadratic coupling constant in the memory
function. (Such a decay, on a time scale tau_I, has been suggested as the
likely consequence of activated processes.) If this decay is complete, so that
only a linear coupling remains at late times, then the alpha relaxation shows a
temporal crossover from a relaxation typical of the unmodified schematic model
to a final strongly slower-than-exponential relaxation. This crossover, which
differs somewhat in form from previous schematic models of the cut-off glass
transition, resembles light-scattering experiments on colloidal systems, and
can exhibit a `slower-than-alpha' relaxation feature hinted at there. We also
consider what happens when a similar but incomplete decay occurs, so that a
significant level of quadratic coupling remains for t>>tau_I. In this case the
correlator acquires a third, weaker relaxation mode at intermediate times. This
empirically resembles the beta process seen in many molecular glass formers. It
disappears when the initial as well as the final quadratic coupling lies on the
liquid side of the glass transition, but remains present even when the final
coupling is only just inside the liquid (so that the alpha relaxation time is
finite, but too long to measure). Our results are suggestive of how, in a
cut-off glass, the underlying `ideal' glass transition predicted by
mode-coupling theory can remain detectable through qualitative features in
dynamics.Comment: 14 pages revtex inc 10 figs; submitted to pr
Spectral Shape of Relaxations in Silica Glass
Precise low-frequency light scattering experiments on silica glass are
presented, covering a broad temperature and frequency range (9 GHz < \nu < 2
THz). For the first time the spectral shape of relaxations is observed over
more than one decade in frequency. The spectra show a power-law low-frequency
wing of the relaxational part of the spectrum with an exponent
proportional to temperature in the range 30 K < T < 200 K. A comparison of our
results with those from acoustic attenuation experiments performed at different
frequencies shows that this power-law behaviour rather well describes
relaxations in silica over 9 orders of magnitude in frequency. These findings
can be explained by a model of thermally activated transitions in double well
potentials.Comment: 4 pages, 3 figures, submitted to Phys. Rev. Let
Statistical mechanical approach to secondary processes and structural relaxation in glasses and glass formers
The interrelation of dynamic processes active on separated time-scales in
glasses and viscous liquids is investigated using a model displaying two
time-scale bifurcations both between fast and secondary relaxation and between
secondary and structural relaxation. The study of the dynamics allows for
predictions on the system relaxation above the temperature of dynamic arrest in
the mean-field approximation, that are compared with the outcomes of the
equations of motion directly derived within the Mode Coupling Theory (MCT) for
under-cooled viscous liquids. Varying the external thermodynamic parameters a
wide range of phenomenology can be represented, from a very clear separation of
structural and secondary peak in the susceptibility loss to excess wing
structures.Comment: 13 pages, 8 figure
On the origin of quasi-elastic light scattering in glasses
It is found that the polarised quasi-elastic light scattering
(QELS) in three investigated glasses, namely silica,
o-terphenyl and ethanol, exhibits a step-wise increase
of intensity when passing the frequency of the longitudinal
Brillouin line towards lower frequencies, keeping, however, the
same frequency dependence as the depolarised spectrum. The latter
shows no such excess QELS. The amplitude of this excess QELS in
polarised scattering is proportional to the ratio of the integral
intensities of the Brillouin line and the boson peak, while the
relaxation mechanisms are the same for both polarised and
depolarised spectra. This we take as a clear evidence that the
dominant contribution to QELS in glasses arises due to vibrational
relaxation