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
Super-resolution in microscopy and optical recording. The classical resolution limit imposes severe restrictions on the performance of optical instruments, especially in optical microscopy and optical recording. Improved understanding of the fundamental principles involved in super-resolution should allow substantial increases in resolution to be achieved. We aim to explore theoretically and experimentally the performance of different super-resolution schemes alone and in combination, including ....Super-resolution in microscopy and optical recording. The classical resolution limit imposes severe restrictions on the performance of optical instruments, especially in optical microscopy and optical recording. Improved understanding of the fundamental principles involved in super-resolution should allow substantial increases in resolution to be achieved. We aim to explore theoretically and experimentally the performance of different super-resolution schemes alone and in combination, including optical masks, near-field optics, detector arrays, multi-photon imaging and digital deconvolution. Selected methods will be demonstrated with practical examples in multi-photon microscopy. Applications in super-high density optical recording will also be studied.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
Solvable models and pattern formation: quantum spin ladders, combinatorics and stromatolite morphogenesis. The aim of this project is to develop new applications of exactly solved models in statistical mechanics. These include the study of quantum spin ladders of great interest in condensed matter physics. The physical properties of new and existing models will be derived to provide valuable benchmarks and predictions for future theoretical and experimental work. We will also undertake the study ....Solvable models and pattern formation: quantum spin ladders, combinatorics and stromatolite morphogenesis. The aim of this project is to develop new applications of exactly solved models in statistical mechanics. These include the study of quantum spin ladders of great interest in condensed matter physics. The physical properties of new and existing models will be derived to provide valuable benchmarks and predictions for future theoretical and experimental work. We will also undertake the study and development of a set of remarkable conjectures relating the properties of a solvable model to an established area of combinatorics. Another aspect of this project involves the investigation of the origins, growth and form of ancient stromatolites.
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Special Research Initiatives - Grant ID: SR0567109
Funder
Australian Research Council
Funding Amount
$69,438.00
Summary
Smart astronomy: using computational science to understand distant radio galaxies. Radio galaxies are among the largest galaxies in the universe with their copious radio emission powered by massive black holes. Australian radio telescopes are very effective at tracing these massive galaxies back in time so we can measure how black holes formed and developed. These measurements depend on reliable identification of the radio sources with our optical telescopes to make vital measurements of their d ....Smart astronomy: using computational science to understand distant radio galaxies. Radio galaxies are among the largest galaxies in the universe with their copious radio emission powered by massive black holes. Australian radio telescopes are very effective at tracing these massive galaxies back in time so we can measure how black holes formed and developed. These measurements depend on reliable identification of the radio sources with our optical telescopes to make vital measurements of their distances. Until now this identification process has been straightforward, but the next generation of studies will look so far back in time that the identification will become ambiguous. Our project will develop a software tool that applies techniques from computational science to overcome the ambiguity in this matching problem.Read moreRead less
Mathematical studies on the statistical properties of complex systems. Introduced in the late `50's to model nuclear spectra, random matrices are now standard in the theory of quantum chaos, mesoscopic phenomena and disordered systems. These are all examples of physical complex systems, characterized by unknown interactions leading to predictable behaviour due to symmetries. Vast mathematical structures result from the symmetries - integrable systems, Painleve equations, Macdonald polynomial the ....Mathematical studies on the statistical properties of complex systems. Introduced in the late `50's to model nuclear spectra, random matrices are now standard in the theory of quantum chaos, mesoscopic phenomena and disordered systems. These are all examples of physical complex systems, characterized by unknown interactions leading to predictable behaviour due to symmetries. Vast mathematical structures result from the symmetries - integrable systems, Painleve equations, Macdonald polynomial theory to name a few. These structures will be further developed, leading to the analytic form of distribution functions quantifying classes of complex systems. Analogous statistical quantification is the essence of recently proposed methods to analyze artificial complex systems such as the stock market.Read moreRead less
The fundamental structure of combinatorial configurations. Combinatorial configurations are fundamental mathematical tools used to model physical problems in the information sciences. Combinatorial trades arise from the differences between combinatorial configurations. They uniquely determine the underlying structure of the configuration and are central to the determination of defining sets. With this proposal we shall study the existence, properties and applications of combinatorial trades and ....The fundamental structure of combinatorial configurations. Combinatorial configurations are fundamental mathematical tools used to model physical problems in the information sciences. Combinatorial trades arise from the differences between combinatorial configurations. They uniquely determine the underlying structure of the configuration and are central to the determination of defining sets. With this proposal we shall study the existence, properties and applications of combinatorial trades and the associated defining sets. Our results will have applications in the areas of biotechnology, information systems, information security and experimental design.Read moreRead less
The astrophysical stochastic background of gravitational waves and detection by advanced high optical power interferometers: an Australia-US collaboration. The proposed project is designed to enable one of the most exciting and least studied components of the gravitational wave spectrum, the Astrophysical Gravitational wave Background (AGB), to be detected by Advanced LIGO. It will extend the Australia-US collaboration in Advanced LIGO to include modeling, simulation and detection methods of the ....The astrophysical stochastic background of gravitational waves and detection by advanced high optical power interferometers: an Australia-US collaboration. The proposed project is designed to enable one of the most exciting and least studied components of the gravitational wave spectrum, the Astrophysical Gravitational wave Background (AGB), to be detected by Advanced LIGO. It will extend the Australia-US collaboration in Advanced LIGO to include modeling, simulation and detection methods of the AGB and the study of the optical noise in LIGO and Advanced LIGO type systems. In particular we plan to search for anomalous noise sources and, especially those arising in high optical power cavities that could limit detection of the AGB.Read moreRead less
Linkage Infrastructure, Equipment And Facilities - Grant ID: LE0228799
Funder
Australian Research Council
Funding Amount
$1,602,000.00
Summary
Australian Membership of the International Gemini Partnership. The International Gemini Partnership is an intergovernmental consortium formed to construct and operate two 8-metre optical/infrared telescopes, one in Chile, and the other in Hawaii. Australia joined the IGP in May 1998, taking approximately 5% of the partnership. The Gemini telescopes have been carefully engineered to exploit the superb atmospheric conditions at both sites, allowing users to address key astronomical problems in way ....Australian Membership of the International Gemini Partnership. The International Gemini Partnership is an intergovernmental consortium formed to construct and operate two 8-metre optical/infrared telescopes, one in Chile, and the other in Hawaii. Australia joined the IGP in May 1998, taking approximately 5% of the partnership. The Gemini telescopes have been carefully engineered to exploit the superb atmospheric conditions at both sites, allowing users to address key astronomical problems in ways not previously possible. Through membership of Gemini, Australian astronomers have access to the world-class facilities necessary to maintain their high international profile and great public visibility in Galactic and extragalactic astronomy, and also to enhance the national capacity to construct advanced scientific instrumentation. Australia has already won a contract to build one of the instruments.Read moreRead less
Linkage Infrastructure, Equipment And Facilities - Grant ID: LE0453817
Funder
Australian Research Council
Funding Amount
$1,849,438.00
Summary
Australian Membership of the International Gemini Partnership. The International Gemini Partnership is an intergovernmental consortium formed to build and operate two 8-metre optical/infrared telescopes, one in Chile and the other in Hawaii. Australia joined the IGP in May 1998, taking approximately 5% of the partnership. The Gemini telescopes have been carefully engineered to exploit the superb atmospheric conditions at both sites, allowing users to address key astronomical problems in ways not ....Australian Membership of the International Gemini Partnership. The International Gemini Partnership is an intergovernmental consortium formed to build and operate two 8-metre optical/infrared telescopes, one in Chile and the other in Hawaii. Australia joined the IGP in May 1998, taking approximately 5% of the partnership. The Gemini telescopes have been carefully engineered to exploit the superb atmospheric conditions at both sites, allowing users to address key astronomical problems in ways not previously possible. Through membership of Gemini, Australian astronomers have access to the world-class facilities necessary to maintain their high international profile and the great public visibility in Galactic and extragalactic astronomy, and also to enhance the national capacity to
construct advanced scientific instrumentation. Australia is currently building one of the instruments.
Note: in A7.1 GAMS incorrectly forces integer days/month. In full operation Australian astronomers will receive approximately 25 nights per year.Read moreRead less