Exact dynamics of the asymmetric exclusion process with boundaries. This project offers an opportunity for a postgraduate student to participate in world-class research. It further strengthens collaborative ties with the renowned department of theoretical physics at Oxford University. The outcomes of this project are expected to provide valuable fundamental information for any applied science in which transport plays a crucial role.
Hecke algebras and hidden symmetries in quantum spin chains. This project further strenghtens collaborative ties with Prof. Rittenberg who is a leading figure in statistical mechanics. Rittenberg is Scientific Director of one of the best journals, and has been instrumental in advocating and advancing Australia's influence in the field. All this on top of his original scientific input which we have become used to in the past years.
ARC Complex Open Systems Research Network. Complexity is the common frontier in the physical, biological and social sciences. This Network will link specialists in all three sciences through five generic conceptual and mathematical theme activities. It will promote research into how subsystems self-organise into new emergent structures when assembled into an open, non-equilibrium system. Outcomes will include new technologies and software tools and deeper understanding of fundamental questions i ....ARC Complex Open Systems Research Network. Complexity is the common frontier in the physical, biological and social sciences. This Network will link specialists in all three sciences through five generic conceptual and mathematical theme activities. It will promote research into how subsystems self-organise into new emergent structures when assembled into an open, non-equilibrium system. Outcomes will include new technologies and software tools and deeper understanding of fundamental questions in science. An essential function of the network will be introducing researchers end users to new tools and broadening the horizons of graduate students.Read moreRead less
Searching for solvability in Statistical Mechanics and beyond using advanced Enumerative Combinatorics. Standard models in lattice statistical mechanics provide basic models of a large variety of physical systems from polymers to the spread of forest fires. The ability to write down some kind of solution to these problems provides inestimable insight into their generic and universal behaviour. This project aims to expand the types of "solution" that mathematicians and physicists can write down.
Nonlocal Statistical Mechanics and Logarithmic Conformal Field Theory. Australia has an enviable track record as an innovator and developer of advanced materials. This project in strategic basic research consists of theoretical work within the disciplines of statistical mechanics and conformal field theory to determine the profound role of nonlocal interactions, such as connectivities, in determining the critical physical properties of materials. Connectivities play a significant role in diverse ....Nonlocal Statistical Mechanics and Logarithmic Conformal Field Theory. Australia has an enviable track record as an innovator and developer of advanced materials. This project in strategic basic research consists of theoretical work within the disciplines of statistical mechanics and conformal field theory to determine the profound role of nonlocal interactions, such as connectivities, in determining the critical physical properties of materials. Connectivities play a significant role in diverse applications such as the gelation of polymers, random fuse networks, the spatial spread of epidemics and bushfires and the tertiary recovery of oil. This research will be practically useful in engineering the physical properties of advanced materials such as liquid crystals, gels, polymers and other materials.Read moreRead less
Exact solution of generalized models of polymers and percolation in two dimensions. Originating with the work of Rodney Baxter, Australia is the world leader in exactly solvable lattice models in two dimensions. This project, in strategic basic research, aims to continue this tradition and extend it by solving exactly new classes of two-dimensional lattice models involving nonlocal degrees of freedom. Since this will lead to new universal classes of thermodynamic behaviours for a diverse range o ....Exact solution of generalized models of polymers and percolation in two dimensions. Originating with the work of Rodney Baxter, Australia is the world leader in exactly solvable lattice models in two dimensions. This project, in strategic basic research, aims to continue this tradition and extend it by solving exactly new classes of two-dimensional lattice models involving nonlocal degrees of freedom. Since this will lead to new universal classes of thermodynamic behaviours for a diverse range of polymer-like systems, the potential for exploitation and commercialization is almost limitless. Potential applications include percolation of contaminants through aquifers, the spatial spread of epidemics and bushfires, the tertiary recovery of oil and filtering drinking water.Read moreRead less
Implementing large-scale solid-state quantum computation. The goal of quantum computing research is to harness the properties of quantum mechanics to build computers that are exponentially more powerful than the computers of today. Along the way, many spin-off technologies for conventional computing and nanotechnology are expected. Realising the quantum computing dream is a daunting experimental challenge requiring both theoretical assurance that it is possible in principle, and theoretical guid ....Implementing large-scale solid-state quantum computation. The goal of quantum computing research is to harness the properties of quantum mechanics to build computers that are exponentially more powerful than the computers of today. Along the way, many spin-off technologies for conventional computing and nanotechnology are expected. Realising the quantum computing dream is a daunting experimental challenge requiring both theoretical assurance that it is possible in principle, and theoretical guidance as to the best method. We seek to provide this theoretical support for solid-state systems, and broaden the range of problems that such systems are demonstrably suited to tackle.Read moreRead less
Atom Location by Channelling Enhanced Microanalysis using Inner-shell Electron Energy Loss Spectroscopy. The technique of Atom Location by Channelling Enhanced Microanalysis (ALCHEMI) has been explored extensively using Electron Energy Dispersive X-ray (EDX) measurements by many authors. The extension of this method to Electron Energy Loss Spectroscopy (EELS) is difficult due to the more complicated formulation of inner-shell ionization required under such experimental conditions. Issues such ....Atom Location by Channelling Enhanced Microanalysis using Inner-shell Electron Energy Loss Spectroscopy. The technique of Atom Location by Channelling Enhanced Microanalysis (ALCHEMI) has been explored extensively using Electron Energy Dispersive X-ray (EDX) measurements by many authors. The extension of this method to Electron Energy Loss Spectroscopy (EELS) is difficult due to the more complicated formulation of inner-shell ionization required under such experimental conditions. Issues such as the "delocalization" of the ionization interaction and the significance of channelling of the scattered electron need to be addressed so that this method may be generally applicable. It is the aim of this project to extend this commonly used method to the topical field of EELS.Read moreRead less
The phase and inverse scattering problem for electrons multiply scattered by non-periodic solids. Theoretical methods for the inversion of multiple scattering of electrons in non-periodic solids will be obtained. This will vastly extend the range of utility of atomic resolution electron microscopy and electron tomography, where single scattering conditions are usually assumed. We will further develop our recent novel solutions to the phase problem from images and diffraction patterns (needed as ....The phase and inverse scattering problem for electrons multiply scattered by non-periodic solids. Theoretical methods for the inversion of multiple scattering of electrons in non-periodic solids will be obtained. This will vastly extend the range of utility of atomic resolution electron microscopy and electron tomography, where single scattering conditions are usually assumed. We will further develop our recent novel solutions to the phase problem from images and diffraction patterns (needed as a prelude to the inversion) that are robust in the presence of discontinuities in the phase (such as vortices). These phase retrieval methods will be useful not only for problems in electron optics but also in visible, x-ray, neutron and atom optics.Read moreRead less
Atomic resolution imaging and spectroscopy. This project will enhance Australia's reputation in atomic resolution imaging, positioning Australia as a major contributor to significant world research outcomes in the physical sciences. It contributes to the quality of our culture through the advancement of knowledge through the solution of problems of high scientific merit, provides training at the postdoctoral level and will produce several PhD graduates of the highest quality. This project streng ....Atomic resolution imaging and spectroscopy. This project will enhance Australia's reputation in atomic resolution imaging, positioning Australia as a major contributor to significant world research outcomes in the physical sciences. It contributes to the quality of our culture through the advancement of knowledge through the solution of problems of high scientific merit, provides training at the postdoctoral level and will produce several PhD graduates of the highest quality. This project strengthens collaborative international links with one of the worlds leading research facilities located at the Oak Ridge National Laboratory. The potential practical applications of this work should lead to direct economic benefits to Australia.Read moreRead less