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.
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.