Work

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

Year: 2021

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2110.15934

Authors: Myhill, Alex D. C., Stokes, Peter W., Philippa, Bronson, White, Ronald D.

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W3208739873

Cites: 28

Cited by:

Related to: 20