40 citations · 219 across the 12 of their papers we have counts for
12 papers
A family of Vlasov-Maxwell equilibrium distribution functions describing a transition from the Harris sheet to the force-free Harris sheet
T. Neukirch, F. Wilson, O. Allanson
We discuss a family of Vlasov-Maxwell equilibrium distribution functions for current sheet equilibria that are intermediate cases between the Harris sheet and the force-free (or mo…
Collisionless distribution functions for force-free current sheets: using a pressure transformation to lower the plasma beta
Fiona Wilson, Thomas Neukirch, Oliver Allanson
So far, only one distribution function giving rise to a collisionless nonlinear force-free current sheet equilibrium allowing for a plasma beta less than one is known (Allanson et…
Three-Dimensional Solutions of the Magnetohydrostatic Equations For Rigidly Rotating Magnetospheres in Cylindrical Coordinates
Fiona Wilson, Thomas Neukirch
We present new analytical three-dimensional solutions of the magnetohydrostatic equations, which are applicable to the co-rotating frame of reference outside a rigidly rotating cyl…
Exact Vlasov-Maxwell equilibria for asymmetric current sheets
O. Allanson, F. Wilson, T. Neukirch +2
The NASA Magnetospheric Multiscale mission has made in situ diffusion region and kinetic-scale resolution measurements of asymmetric magnetic reconnection for the first time, in th…
Force-free collisionless current sheet models with non-uniform temperature and density profiles
F. Wilson, T. Neukirch, O. Allanson
We present a class of one-dimensional, strictly neutral, Vlasov-Maxwell equilibrium distribution functions for force-free current sheets, with magnetic fields defined in terms of J…
Neutral and non-neutral collisionless plasma equilibria for twisted flux tubes: The Gold-Hoyle model in a background field
O. Allanson, F. Wilson, T. Neukirch
We calculate exact one-dimensional collisionless plasma equilibria for a continuum of flux tube models, for which the total magnetic field is made up of the `force-free' Gold-Hoyle…
From one-dimensional fields to Vlasov equilibria: Theory and application of Hermite polynomials
O. Allanson, T. Neukirch, S. Troscheit +1
We consider the theory and application of a solution method for the inverse problem in collisionless equilibria, namely that of calculating a Vlasov-Maxwell equilibrium for a given…
Particle-in-Cell Simulations of Collisionless Magnetic Reconnection with a Non-Uniform Guide Field
Fiona Wilson, Thomas Neukirch, Michael Hesse +2
Results are presented of a first study of collisionless magnetic reconnection starting from a recently found exact nonlinear force-free Vlasov-Maxwell equilibrium. The initial stat…
An exact collisionless equilibrium for the Force-Free Harris Sheet with low plasma beta
O. Allanson, T. Neukirch, F. Wilson +1
We present a first discussion and analysis of the physical properties of a new exact collisionless equilibrium for a one-dimensional nonlinear force-free magnetic field, namely the…
Particular solutions of the inverse problem for 1D Vlasov-Maxwell equilibria using Hermite polynomials
O. Allanson, T. Neukirch, S. Troscheit +1
We present the solution to an inverse problem arising in the context of finding a distribution function for a specific collisionless plasma equilibrium. The inverse problem involve…
A Family of One-Dimensional Vlasov-Maxwell Equilibria for the Force-Free Harris Sheet
Fiona Wilson, Thomas Neukirch
A family of self-consistent collisionless distribution functions for the force-free Harris sheet is presented. This family includes the distribution function recently found by Harr…
A detailed investigation of the properties of a Vlasov-Maxwell equilibrium for the force-free Harris sheet
Thomas Neukirch, Fiona Wilson, Michael G. Harrison
A detailed discussion is presented of the Vlasov-Maxwell equilibrium for the force-free Harris sheet recently found by Harrison and Neukirch (Phys. Rev. Lett. 102, 135003, 2009). T…