Publications (4)
Gradient corrections to the kinetic energy density functional of a two-dimensional Fermi gas at finite temperature
Brandon P. van Zyl, K. Berkane, K Bencheikh +1
We examine the leading order semiclassical gradient corrections to the non-interacting kinetic energy density functional of a two dimensional Fermi gas by applying the extended Tho…
A nonlocal kinetic energy functional for an inhomogeneous two-dimensional Fermi gas
B. P. van Zyl, A. Farrell, E. Zaremba +3
The average-density approximation is used to construct a nonlocal kinetic energy functional for an inhomogeneous two-dimensional Fermi gas. This functional is then used to formulat…
Extreme value methods for estimating rare events in Utopia
L. M. André, R. Campbell, E. D'Arcy +6
To capture the extremal behaviour of complex environmental phenomena in practice, flexi\-ble techniques for modelling tail behaviour are required. In this paper, we introduce a var…
Analytical Solution to Electron Beam Envelope Evolution in a Plasma Wakefield
J. Yan, A. Farrell, L. D. Amorim +1
Beam-induced ionization injection (B-III) is currently being explored as a method for injecting an electron beam with a controlled density profile into a plasma wakefield accelerat…