P. Maass et P. Pendzig, HOPPING IN A REARRANGING STRUCTURE, Philosophical magazine. B. Physics of condensed matter.Statistical mechanics, electronic, optical and magnetic, 77(2), 1998, pp. 609-620
We discuss a simple model for the localized hopping of a charged parti
cle in a rearranging structural environment, whose dynamics are descri
bed by an overdamped Brownian motion. We find that the dipolar relaxat
ion strongly depends on how the bare jump frequency nu of the particle
and the characteristic structural relaxation time tau(s), of its envi
ronment relate to each other. For nu tau(s) << 1 the imaginary part of
the dielectric susceptibility chi''(omega) exhibits a single-peak pat
tern, while for nu tau(s) greater than or similar to 1 a second smalle
r peak appears at higher frequencies, which becomes more separated fro
m the first peak with increasing nu tau(s). It is suggested that this
behaviour provides an explanation for the decoupling phenomenon of sec
ondary beta relaxations from the main primary alpha relaxations as is
often observed close to a glass transition.