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
Robust fluid mixing through topological chaos. The Australian chemicals and plastics industry has an annual turnover of over $20 billion and employs over 77,000 people; fluid mixing is fundamental to this industry, yet the industry is recognised as underinvesting in research and development in this essential area. Furthermore, frontier technologies such as biotechnology and the next generation of smart materials also crucially rely on fluid mixing. This project aims to evaluate a new paradigm ( ....Robust fluid mixing through topological chaos. The Australian chemicals and plastics industry has an annual turnover of over $20 billion and employs over 77,000 people; fluid mixing is fundamental to this industry, yet the industry is recognised as underinvesting in research and development in this essential area. Furthermore, frontier technologies such as biotechnology and the next generation of smart materials also crucially rely on fluid mixing. This project aims to evaluate a new paradigm (topological chaos) for the design of mixers, to provide better and more robust mixers that work from microscopic to industrial scales.Read moreRead less
Quantum Information and Entanglement: a new framework for Science and Technology with quantum many-body systems. The expected outcome of the research program is a significant boost in the understanding of quantum many-body systems, which will reinforce Australia's competitiveness and international profile in aspects of breakthrough science and frontier technologies. By developing both the underpinning theory and innovative computational tools, and by applying them to problems of recognised impor ....Quantum Information and Entanglement: a new framework for Science and Technology with quantum many-body systems. The expected outcome of the research program is a significant boost in the understanding of quantum many-body systems, which will reinforce Australia's competitiveness and international profile in aspects of breakthrough science and frontier technologies. By developing both the underpinning theory and innovative computational tools, and by applying them to problems of recognised importance, this program will have direct implications in areas of condensed matter physics, quantum statistical mechanics, particle physics, complex systems, quantum information science and technology, quantum computation, engineered quantum systems and nanotechnology. Read moreRead less
Novel approaches to strongly correlated quantum systems in two dimensions. The expected outcome of the research program is a significant boost in our understanding of strongly correlated quantum systems, which will reinforce Australia's competitiveness and international profile in aspects of breakthrough science and frontier technologies. By strengthening both the underpinning theory and innovative computational tools to study quantum many-body systems, and by applying them to specific problems ....Novel approaches to strongly correlated quantum systems in two dimensions. The expected outcome of the research program is a significant boost in our understanding of strongly correlated quantum systems, which will reinforce Australia's competitiveness and international profile in aspects of breakthrough science and frontier technologies. By strengthening both the underpinning theory and innovative computational tools to study quantum many-body systems, and by applying them to specific problems of recognized importance, this program will have direct implications in condensed matter physics and will exert significant influence in areas such as quantum chemistry, high energy physics, quantum computing, quantum atom optics and nanotechnology.Read moreRead less