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The Australian National University, Canberra,
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-- Theoretical and Experimental endeavours at the boundaries of physics, chemistry & biology --

Information for Prospective Students

A number of study options are available at the Department, ranging from Summer Vacation scholarships, Honours projects, and post-graduate studies such as Doctoral and Masters degrees.

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Honours Year Projects

More information on the following projects can be obtained by contacting the staff members involved.

Modelling fluid flow in porous materials: The department's new high resolution computed tomography X-ray machine will allow us to image porous materials (like rocks, bones) in three dimensions with remarkable detail. We would like to understand better how two immiscible fluid phases flow in these materials. This has traditionally been done using network models, which assume that the pore space of the material can be well described as a network of spheres connected by tubes. This project will examine alternatives to network modelling that consider the full geometry of the pore space. Adrian Sheppard, Rob Sok, Mark Knackstedt


Effect of dissolved air on hydrophobic interaction: Many biological or industrial processes involve interaction between hydrophobic molecules or hydrophobic surfaces in aqueous solutions. Aqueous solvents normally also contains small amounts of dissolved air (O2 and N2 molecules) that are attracted to hydrophobic surfaces. The hydrophobic attraction is enhanced by these solutes, and in more dramatic cases one finds bubble formation. An example studied in this Department is the DNA nuclease activity (Eur. Phys. J. E 2001, 4, 411-417) where microscopic cavitation in a hydrophobic pocket is thought to be responsible for the enzymatic activity.

The attraction between dissolved N2 or O2 molecules in water can be accurately estimated using the information on the radial distribution function of water. The interaction between dissolved O2 or N2 and a hydrophobic surface would need to be calculated in a simulation. The appropriate molecular dynamics code exists.

Once we obtain these effective potentials, it is not difficult to evaluate the resulting attraction between hydrophobic surfaces. The computer code for this last step is also available. Stjepan Marcelja, David Williams, Siewert-Jan Marrink (U. of Groningen, The Netherlands).


Effective potentials in aqueous solutions: It has been known for a very long time that the stability of folded proteins in solution depends on the type of the salt present. Effectiveness of each ion in "salting out" the proteins follows the well-established Hofmeister series. Many other examples of ion specificity are known and poorly understood.

Recently we began studies of interaction of surfaces and macromolecules in an aqueous electrolyte solution using more advanced ion-ion potentials obtained from molecular dynamics simulations. In addition to the Coulomb interaction, such potentials contain short-range interaction induced by the structure of the aqueous solvent.

The data presently available provide Na-Na, Na-Cl, Cl-Cl and Ca-Cl effective potentials. Computer code exists to generate many more pairs. Our colleagues in Strasbourg, France have commenced experiments in CsNO3 solutions.

We would like to compute more ion-ion pair potentials and use them to calculate typical interactions between surfaces in electrolytes. From such information, we hope to be able to better understand the origin of the Hofmeister series and other ion-specific effects in solutions. Stjepan Marcelja, David Williams, Alexander Lyubartsev (Stockholm University).


New crystalline patterns in space from non-euclidean geometry: (Theoretical computer modelling and graphics) We have developed a technique to generate three-dimensional crystalline networks using tilings of hyperbolic space. The work involves pure geometry and topology, with advanced computer graphics (joint with the Vizlab, ANU Computer Centre). The direction of the project can be toward analysis, using group theory and conformal maps, or more geometric. The aim of the work is to explore more fully the possible forms of three-dimensional networks. For a taste of the work, go here. Stephen Hyde, Stuart Ramsden.
An investigation of the liquid-gas transition using alpha shapes: Positions of atoms in crystaline solids are well described by symmetric lattices of points. At the other extreme, the atoms of an ideal gas have no long-range order and are modelled by a uniformly random distribution of points. The geometric structure of liquids is not so well understood - the distribution of atoms is disordered, but visibly different from that of a gas. This project will use existing fluid simulation software to generate positions of fluid atoms obeying a Leonard-Jones potential. We will then investigate spatial structure in the data using alpha shapes - a powerful tool for investigating the geometrical and topological structure of point data. In particular, we will look for quantities that change significantly as a fluid undergoes the phase transition from liquid to gaseous form. Vanessa Robins
Mesostructure of liquid crystals: (Experimental chemical physics) Liquid crystals are central to the function of biological cells, found in lipid membranes across all life forms. They are also of intrinsic interest, as a form of condensed matter intermediate to solids and liquids. We are interested in looking at the structures of "hexagonal" phases in simple surfactant-water mixtures, as we have developed a number of novel theoretical forms, and suspect they are found in these systems. The work will involve optical microscopy and small angle X ray scattering studies of samples. The project will provide a good introduction to these unusual states of matter, and may yield important insights into the complex structures of these systems. The extent of theoretical modelling of the structures is flexible, and up to the interest of the student, and computations of stability and structure will be possible. Stephen Hyde
Friction and adhesion between perfect and imperfect surfaces: A new device has been developed in the Department of Applied Mathematics for measuring friction between atomically smooth surfaces in order to study these effects at a fundamental level. Frictional and adhesion effects are of importance in almost all areas of technology. This project in the area of experimental nanoscience will consist in carrying out measurements on surfaces subjected to different surface treatments. Experience will be gained in electronic instrumentation and surface chemistry. Andrew Stewart, Satomi Ohnishi
Paper Performance: (Experimental surface science) Relating the nanoscale and microscale structure of paper to paper performance is an important objective of the Co-operative Research Centre for Functional Communication Surfaces (CRC-FCS). In order to produce high value, high performance paper products a greater knowledge of the relationship between microscale paper parameters and paper performance is required. Projects involving novel investigations of paper or polymer materials using Ellipsometry, Atomic Force Microscopy, Plasma treatment and Wetting studies are available. These projects provide opportunities for students to closely work with industry partners. Vincent Craig, Tim Senden.
Kinetics and Structure of Surfactant Adsorption: Knowledge of the kinetics and structure of surfactant adsorption is important to understanding many processes from detergency to minerals separation. Using a state-of-the-art imaging spectral ellipsometer the adsorption of surfactants to solid surfaces will be investigated. The ellipsometer can determine the thickness of adsorbed films with very high precision. Adsorption can be resolved both spatially and temporally. These studies in collaboration with Reflectometry studies at the University of Newcastle will extend our knowledge of the slow adsorption kinetics of surfactants and the aggregate structures that are formed at surfaces. This project may be extended to include polymer adsorption and mixed surfactant/polymer adsorption. Vincent Craig
Gassing Emulsions: Emulsions containing a volatile organic component (gasser) that changes phase upon an increase in temperature are currently being investigated by an honours student in 2001. The confinement of the gasser into small droplets results in predictable deviations in boiling point of the gasser and in droplet size dependent volume changes of the emulsion upon expansion. These emulsions find application in ultrasound imaging and as explosives. This successful project can be extended with investigations of multi-component gassers and mixed droplet size emulsions. An associated project will investigate applying the theoretical and experimental advances made in this area to the characterisation of microemulsion systems. Vincent Craig
Surface Cleaning Protocols: Fundamental to all surface measurements is the requirement that the surface under investigation is free of significant contamination. This project involves assessing the efficacy of a variety of surface preparation techniques in order that researchers in the field can be confident in the surface preparation protocols that are being utilised. These include chemical treatment, plasma treatment and UV irradiation. The surfaces will be investigated primarily by Atomic Force Microscopy and Imaging spectral Ellipsometry. A variety of other techniques ma also be employed such as XPS and electron microscopy. Vincent Craig, Tim Senden


Summer Vacation Projects

Stellar Constellations from the Minimal Spanning Tree: How did people come to group visible stars into distinct constellations? The answer certainly depends on the proximity and luminosity of the stars. We can investigate the clustering of stars using tools from computational geometry, starting with the minimimal spanning tree. The project will involve writing a program to compute and visualise the MST using a spherical distance function. We can then compare this MST with standard constellation patterns and test whether different threshold criteria give rise to the Eastern and Western astronomical charts. Vanessa Robins

Many of the above honours projects can be adapted to shorter Summer Vacation Projects. If the topic interests you, just contact the staff members involved.


Doctoral and Masters study

Students interested in pursuing studies at the doctoral and masters level are encouraged to visit us to meet members of the department and see the research facilities first hand. The list of honours projects will give you some idea of potential topics. More information about research in the department can be found be found here, and on the personal web pages of Applied Maths staff.


Scholarships

There are a number of scholarships available to students in the Research School of Physics. Information is available from the following links:

Summer vacation scholars

Honours and Post-Graduate students


Visit The Applied Maths Department

Prospective students are encouraged to visit the department. For students outside of Canberra, we are willing to pay for a return rail or coach fare and accommodation for a couple of days so you can see first-hand the leading research we do and discuss possible research projects.

We are interested in students with a broad range of backgrounds including physics, chemistry, mathematics and computer science. If you are interested in this offer please email David Williams giving a brief CV (with subjects taken and grades obtained). We will then arrange a time for you to visit.


ANU campus life

Information on campus services such as accommodation, child care, health services, disability support, transport, the Library Network, etc. can be found at the ANU internal home page.

PARSA (Postgraduate and Research Students' Association) and the undergraduate association are good place to look at for alternative, and frank, views about Canberra, the Campus and life in general.

The sports union has a wide range of activities and clubs that make the most of the wilderness around Canberra including diving, skiing, caving, mountaineering, etc.