9 citations · 15 across the 6 of their papers we have counts for
6 papers
Newtonion Quantum Gravity, WIMPs and Celestial Mechanics -- Summary of Results
Richard Durran, Andrew Neate, Aubrey Truman
We discuss the leading term in the semi-classical asymptotics of Newtonian quantum gravity for the Kepler problem. For dark matter, ice or dust particles in the gravitational field…
On the divine clockwork: the spectral gap for the correspondence limit of the Nelson diffusion generator for the atomic elliptic state
Richard Durran, Andrew Neate, Aubrey Truman +1
The correspondence limit of the atomic elliptic state in three dimensions is discussed in terms of Nelson's stochastic mechanics. In previous work we have shown that this approach…
On the stochastic Burgers equation with some applications to turbulence and astrophysics
Andrew Neate, Aubrey Truman
We summarise a selection of results on the inviscid limit of the stochastic Burgers equation emphasising geometric properties of the caustic, Maxwell set and Hamilton-Jacobi level…
The Divine Clockwork: Bohr's correspondence principle and Nelson's stochastic mechanics for the atomic elliptic state
Richard Durran, Andrew Neate, Aubrey Truman
We consider the Bohr correspondence limit of the Schrodinger wave function for an atomic elliptic state. We analyse this limit in the context of Nelson's stochastic mechanics, expo…
A one dimensional analysis of singularities and turbulence for the stochastic Burgers equation in d-dimensions
A. D. Neate, A. Truman
The inviscid limit of the stochastic Burgers equation, with body forces white noise in time, is discussed in terms of the level surfaces of the minimising Hamilton-Jacobi function,…
A one dimensional analysis of turbulence and its intermittence for the d-dimensional stochastic Burgers equation
A. D. Neate, A. Truman
The inviscid limit of the stochastic Burgers equation is discussed in terms of the level surfaces of the minimising Hamilton-Jacobi function, the classical mechanical caustic and t…