18 citations · 39 across the 5 of their papers we have counts for
5 papers
Third-order transport coefficients for localised and delocalised charged-particle transport
Peter W. Stokes, Ilija Simonović, Bronson Philippa +3
We derive third order transport coefficients of skewness for a phase-space kinetic model that considers the processes of scattering collisions, trapping, detrapping and recombinati…
Generalised balance equations for charged particle transport via localised and delocalised states: Mobility, generalised Einstein relations and fractional transport
Peter W. Stokes, Bronson Philippa, Daniel Cocks +1
A generalised phase-space kinetic Boltzmann equation for highly non-equilibrium charged particle transport via localised and delocalised states is used to develop continuity, momen…
Solution of a generalised Boltzmann's equation for non-equilibrium charged particle transport via localised and delocalised states
Peter W. Stokes, Bronson Philippa, Daniel Cocks +1
We present a general phase-space kinetic model for charged particle transport through combined localised and delocalised states, capable of describing scattering collisions, trappi…
Efficient numerical solution of the time fractional diffusion equation by mapping from its Brownian counterpart
Peter W. Stokes, Bronson Philippa, Wayne Read +1
The solution of a Caputo time fractional diffusion equation of order is expressed in terms of the solution of a corresponding integer order diffusion equation. We demonstra…
Analytic solution of the fractional advection diffusion equation for the time-of-flight experiment in a finite geometry
Bronson Philippa, Ronald White, Robert Robson
A general analytic solution to the fractional advection diffusion equation is obtained in plane parallel geometry. The result is an infinite series of spatial Fourier modes which d…