Analysis of a generalised Boltzmann equation for anomalous diffusion under time-dependent fields
Statistical Mechanics
2021-11-01 v1
Abstract
The generalised Boltzmann equation which treats the combined localised and delocalised nature of transport present in certain materials is extended to accommodate time-dependent fields. In particular, AC fields are shown to be a means to probe the trapping and detrapping rates of materials under certain conditions. Conditions leading to dispersive transport are considered, and the signature of fractional/anomalous diffusion under AC electric fields is presented.
Cite
@article{arxiv.2110.15934,
title = {Analysis of a generalised Boltzmann equation for anomalous diffusion under time-dependent fields},
author = {Alex D. C. Myhill and Peter W. Stokes and Bronson Philippa and Ronald D. White},
journal= {arXiv preprint arXiv:2110.15934},
year = {2021}
}