**Russell Kim Standish**

Chapters 1 and 5 review the field to set the context of the work. Except where stated, all other chapters report my own original work. Russell Standish

I wish to thank Denis Evans for the supervision of the work in this thesis, Brian Robson for his continuing support, Robert Robson for his encouragement and advice, Leo Brewin for his comprehensive knowledge of the MSP operating system, and Bill Alford for his advice on TeX related matters, without which this thesis would have been much more difficult to write. I would also like to thank all the staff and students of the Department of Theoretical Physics, who have over the years provided much stimulating conversation and ideas. Last, but not least, I would like to thank my dearest friend Kim Crichton for her unwavering support throughout this thesis.

Much of the computation described here was performed on the Fujitsu VP100 of the Australian National University Supercomputer Facility.

I gratefully acknowledge the financial assistance of a Commonwealth Postgraduate Research Award.

This thesis has been typeset by the author using LaTeX, a macro package written by Leslie Lamport for Donald Knuth's TeX typesetting system. The source was typed on a MacIntosh, using a macro package written by the author for Matthias Aebi's MEdit text editor. Andrew Trevorrow's OzTeX, a public domain MacIntosh version of LaTeX, was used to preview the document whereas the final version was produced using a Vax. The figures were produced using a picture macro package written by Brendan McKay, the Vax installation of which was done by Bill Alford. Figures to were produced by Arnstein Pritz's FPLoT program, and the plates produced using Uniras.

- Standish RK (1987),
- ``Nonhydrodynamic Contributions to End Effects in Time of
Flight Swarm experiments'',
*Aust J Phys*,**40**,519-525 - Standish RK and Kumar K (1987),
- ``End Effects in Time of Flight
Experiments'', proc. 5th Intl Swarm Seminar, Birmingham, p104-107
- Evans D and Standish RK (1990),
- "Non-equilibrium Statistical Mechanics
and Molecular Dynamics Calculations" in
*Computer Modelling of Fluids, Polymers and Solids*CRA Catlow*et al.(eds.)*p125-154 - Standish RK (1989)
- ``Motion of Charged Particles in a Homogeneous Reacting
Medium with a One-dimensional Geometry'',
*Aust J Phys*,**42**, 223-232 - Standish RK and Evans DJ (1990),
- ``On the Nonlinear Burnett Coefficients'', to
be published in Phys. Rev. A.

*
In this thesis, the theory of nonhydrodynamic phenomena is developed
within the framework of the linear Boltzmann equation, and applied to
several experimental configurations used in swarm physics. The latter part
of the thesis develops fluctuation expressions for the nonlinear Burnett
coefficients similar to the Green-Kubo expressions used for linear
transport coefficients. A numerical simulation of a simple fluid is used
to test these expressions.
*

- Contents
- List of Figures
- Introduction
- The Linear Boltzmann Equation
- End Effects in Time of Flight Experiments
- Time of Flight Experiments
- Lithium ion - Helium Experiment
- Nonhydrodynamic Contributions to End-Effects in Time-of-Flight Swarm Experiments
- Model Calculation
- Peak Arrival Time
- Pressure Dependencies of Non-hydrodynamic and Higher Order Diffusion Effects
- Separation of the Different End Effects.
- Boundaries and Field Inhomogeneities

- Non-hydrodynamic effects in Parallel Plane Steady State Townsend Experiments
- Nonequilibrium Molecular Dynamics Simulation
- Nonlinear Burnett Coefficients
- Conclusion
- Perturbation of the eigenfunctions for small k
- Isotropic Tensors
- System Size Dependence of a Product of Intensive Phase Variables
- Nonlinear Burnett Coefficients Calculation
- References
- Mathematical Notation
- Index
- About this document ...

Thu May 18 11:43:52 EST 1995