4 papers
Modelling inelastic granular media using Dynamical Density Functional Theory
B. D. Goddard, T. D. Hurst, R. Ocone
We construct a new mesoscopic model for granular media using Dynamical Density Functional Theory (DDFT). The model includes both a collision operator to incorporate inelasticity an…
A derivation of the Liouville equation for hard particle dynamics with non-conservative interactions
T. D. Hurst, B. D. Goddard, M. Wilkinson
The Liouville equation is of fundamental importance in the derivation of continuum models for physical systems which are approximated by interacting particles. However, when partic…
Non-adiabatic transitions in multiple dimensions
V. Betz, B. D. Goddard, T. Hurst
We consider non-adiabatic transitions in multiple dimensions, which occur when the Born-Oppenheimer approximation breaks down. We present a general, multi-dimensional algorithm whi…
Multiple Superadiabatic Transitions and Landau-Zener Formulas
Benjamin D. Goddard, Tim Hurst
We consider nonadiabatic systems in which the classical Born-Oppenheimer approximation breaks down. We present a general theory that accurately captures the full transmitted wavepa…