Hopping in a rearranging structure
We discuss a simple model for the localized hopping of a charged particle in a rearranging structural environment, whose dynamics are described by an overdamped Brownian motion. We find that the dipolar relaxation strongly depends on how the bare jump frequency upsilon of the particle and the characteristic structural relaxation time taus of its environment relate to each other. For upsilon taus 1 the imaginary part of the dielectric susceptibility chi (omega) exhibits a single-peak pattern, while for upsilon taus 1 a second smaller peak appears at higher frequencies, which becomes more separated from the first peak with increasing upsilon taus. It is suggested that this behaviour provides an explanation for the decoupling phenomenon of secondary beta relaxations from the main primary alpha relaxations as is often observed close to a glass transition.
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