Anastasio DIAZ SANCHEZ
Università di Napoli
Stretched exponential relaxation in the Coulomb
glass.
The relaxation of the specific heat to its equilibrium value is investigated
numerically for the three-dimensional Coulomb glass at very low temperatures.
For that we first obtain an almost complete set of low-energy many-particle
states. The dynamic of the sample is mapped to the graph formed by the
relevant transitions between these states, that means by transitions with
rates larger than the inverse of the observation time. A two-steps decay
for the process of relaxation is found. The long time relaxation step follow
a stretched exponential function, $f(t)=f_0\exp\left[-(t/\tau)^\beta\right]$,
with the exponent $\beta$ increasing with the temperature. The relaxation
time diverges as an Arrhenius law when $T\rightarrow 0$.