Self-assembly and complexity: networks and patterns from materials to markets. Self-assembly leads the formation of patterns without external directing agents. It is responsible for the growth of complex multiscale structures found in biology and materials science and is a crucial concept for development of viable nanotechnologies. Complex systems, from biological ecosystems to financial markets and the Internet, are also characterized by spontaneous clustering and linkages that determine their ....Self-assembly and complexity: networks and patterns from materials to markets. Self-assembly leads the formation of patterns without external directing agents. It is responsible for the growth of complex multiscale structures found in biology and materials science and is a crucial concept for development of viable nanotechnologies. Complex systems, from biological ecosystems to financial markets and the Internet, are also characterized by spontaneous clustering and linkages that determine their collective behaviour. The project will investigate in detail the geometry, topology, materials science and statistical physics of networks, leading to design and characterization of robust self-assembled materials and complex systems.Read moreRead less
The mathematics and physics of interacting systems. Much of the world around us involves the networked interaction between a large number of components. For example, such complex networks may be physical, biological, social or technical in nature and represent connections between magnetic spins, species, people or computers. This Project will provide a firm theoretical foundation for such complex interacting systems through an investigation of the fascinating mathematics and physics behind them. ....The mathematics and physics of interacting systems. Much of the world around us involves the networked interaction between a large number of components. For example, such complex networks may be physical, biological, social or technical in nature and represent connections between magnetic spins, species, people or computers. This Project will provide a firm theoretical foundation for such complex interacting systems through an investigation of the fascinating mathematics and physics behind them. This perspective from mathematical physics, in particular using the tools of statistical mechanics, will lead to a better understanding of many real-world complex systems.Read moreRead less
Modular Index Theory. This project capitilises on Australian advances in mathematics, particularly noncommutative geometry. It will maintain and extend Australia's prominence in this subject, providing excellent opportunities for young researchers via the research networks this project will establish. Being at the interface of ideas in mathematics and physics, there is potential for future technological spin offs for Australia.
Algebraic Structures in Mathematical Physics and Their Applications. Algebraic structures such as affine (super)algebras, quantised algebras and vertex operator algebras are among the most important discoveries in mathematics. They provide a universal common algebraic framework underlying applications in a wide range of physics (eg. statistical mechanics, string theory, condensed matter physics etc.) leading to a high level of research activity worldwide. The project harnessess the high level ....Algebraic Structures in Mathematical Physics and Their Applications. Algebraic structures such as affine (super)algebras, quantised algebras and vertex operator algebras are among the most important discoveries in mathematics. They provide a universal common algebraic framework underlying applications in a wide range of physics (eg. statistical mechanics, string theory, condensed matter physics etc.) leading to a high level of research activity worldwide. The project harnessess the high level of expertise in mathematical physics across Australia to focus on exciting new developments in the theory of these algebraic structures and their application to physics, thus ensuring Australia plays a leading role in this rapidly expanding field.Read moreRead less
High-performance computational data-mining techniques for feature detection in complex time series from large-scale, networked plasma experiments. Terabytes of data are gathered from large experimental facilities as complex time-series. Analysis of these data is daunting, especially when they involve high-dimensional spectral or image arrays. We will develop high-performance computational techniques for dimension reduction, efficient data-mining, and experimental control, using as an initial ta ....High-performance computational data-mining techniques for feature detection in complex time series from large-scale, networked plasma experiments. Terabytes of data are gathered from large experimental facilities as complex time-series. Analysis of these data is daunting, especially when they involve high-dimensional spectral or image arrays. We will develop high-performance computational techniques for dimension reduction, efficient data-mining, and experimental control, using as an initial target the H-1NF plasma fusion MNRF at the ANU and its >100 GB/year data stream. The techniques will immediately provide Australian researchers with unique tools for collaboration in international research to develop fusion as a low-emissions source of electricity, and will be applicable to complex time-series analysis in other areas of science, medicine, and defence.Read moreRead less
Quantum Simulations with Dilute Gas Bose Einstein Condensates. Fundamental scientific research, such as we propose, is an important contributor to the long term wealth and well being of the Nation. It shapes our culture, our ways of thinking, and our beliefs. It also contributes directly, and in the shorter term, through the technology development that accompanies scientific research at the frontiers of knowledge. The students participating in this research will develop skills in innovation, int ....Quantum Simulations with Dilute Gas Bose Einstein Condensates. Fundamental scientific research, such as we propose, is an important contributor to the long term wealth and well being of the Nation. It shapes our culture, our ways of thinking, and our beliefs. It also contributes directly, and in the shorter term, through the technology development that accompanies scientific research at the frontiers of knowledge. The students participating in this research will develop skills in innovation, intellectual property management, and commercialisation - all of which are critical to the Nation's future.Read moreRead less
Burning Plasmas: resolving energetic particle physics for the International Thermonuclear Experimental Reactor (ITER). Fusion power is a zero greenhouse gas emitting technology, which if realised, offers millions of years of base-load electricity. This promise has prompted the international community to accelerate fusion energy development, principally via support of the next-step technology-enabling experiment, International Thermonuclear Experimental Reactor (ITER). Our project addresses a gr ....Burning Plasmas: resolving energetic particle physics for the International Thermonuclear Experimental Reactor (ITER). Fusion power is a zero greenhouse gas emitting technology, which if realised, offers millions of years of base-load electricity. This promise has prompted the international community to accelerate fusion energy development, principally via support of the next-step technology-enabling experiment, International Thermonuclear Experimental Reactor (ITER). Our project addresses a grand science challenge facing ITER and fusion power: can the products of reaction be kept confined and therefore self-heat the plasma? The answer will affect both the ITER program, and the viability of fusion power. This project provides a low-cost high-impact contribution to the science base for the $16 billion ITER project, whilst growing Australian capability in this strategically important technology.Read moreRead less
Studies of turbulence and coherent structures in quasi two-dimensional plasmas and fluids. One of the most celebrated but least understood complex systems in nature is turbulent flow. This cross-disciplinary project aims to contribute to basic scientific knowledge of a class of turbulent flows, known as quasi two-dimensional fluids, that typically exhibit self-organizing properties, stable sheared flow, and relatively weak dissipation. The significance lies in the proposed testing, by modelling ....Studies of turbulence and coherent structures in quasi two-dimensional plasmas and fluids. One of the most celebrated but least understood complex systems in nature is turbulent flow. This cross-disciplinary project aims to contribute to basic scientific knowledge of a class of turbulent flows, known as quasi two-dimensional fluids, that typically exhibit self-organizing properties, stable sheared flow, and relatively weak dissipation. The significance lies in the proposed testing, by modelling and simulation studies, of the well-grounded hypothesis that suppression of turbulence by sheared flow is a universal phenomenon in such fluids, and that it can be exploited to control transport of fluid constituents. Applications of this new knowledge will be developed.Read moreRead less
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
New frontiers in statistical mechanics. The chiral Potts model has been introduced in 1981 as a model for commensurate-incommensurate phase transitions in a layer of atoms or molecules adsorbed to a solid surface. If the adsorbed atoms all fit to holes between the surface atoms, the added layer is frozen, commensurate with the surface. If the added atoms are unable to fit holes, the added layer is no longer commensurate with the surface and could be in a floating state. A deeper understanding of ....New frontiers in statistical mechanics. The chiral Potts model has been introduced in 1981 as a model for commensurate-incommensurate phase transitions in a layer of atoms or molecules adsorbed to a solid surface. If the adsorbed atoms all fit to holes between the surface atoms, the added layer is frozen, commensurate with the surface. If the added atoms are unable to fit holes, the added layer is no longer commensurate with the surface and could be in a floating state. A deeper understanding of this and similar phenomena in layered systems has nanotechnological implications. This may affect the design of new small electronic devices or could apply to small biological systems and the development of new medicines. The project will surely lead to new applicable mathematics.Read moreRead less