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arXiv · 2110.15934

Analysis of a generalised Boltzmann equation for anomalous diffusion under time-dependent fields

Alex D. C. Myhill·Peter W. Stokes·Bronson Philippa·Ronald D. White
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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.

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Alex D. C. Myhill, Peter W. Stokes, Bronson Philippa, Ronald D. White. 2021-10-29. Analysis of a generalised Boltzmann equation for anomalous diffusion under time-dependent fields. https://arxiv.org/abs/2110.15934

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