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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Solar radio bursts, the origin and properties of the sun's corona and solar wind, and space weather. This project uses solar radio bursts to answer fundamental scientific questions about the Sun, predict space weather events at Earth, and motivate theories for the bursts and shocks. It will discover the corona's origin and where the solar wind is accelerated, understand how shocks reform and accelerate particles, and develop quantitative theories for radio bursts. These discoveries and associate ....Solar radio bursts, the origin and properties of the sun's corona and solar wind, and space weather. This project uses solar radio bursts to answer fundamental scientific questions about the Sun, predict space weather events at Earth, and motivate theories for the bursts and shocks. It will discover the corona's origin and where the solar wind is accelerated, understand how shocks reform and accelerate particles, and develop quantitative theories for radio bursts. These discoveries and associated high-level training of staff and students will increase Australia's international scientific standing, expertise, infrastructure, and human capital. It involves international collaborations on NASA's $600M STEREO mission and the MWA radio telescope, among others, and supports the new Decadal Plan for Australian Space Science.Read moreRead less
Wave Localization and Burstiness in Type III Solar Radio Bursts. The project will raise Australia's scientific standing and expertise in space and plasma physics, space weather, and complex systems due to new discoveries, theories, publications, and invited talks. It supports Australia's involvement in NASA's $600M STEREO mission and other space efforts, and greatly leverages Australia's small numbers and budget on the world stage. The project will enhance Australia's human capital due to high-l ....Wave Localization and Burstiness in Type III Solar Radio Bursts. The project will raise Australia's scientific standing and expertise in space and plasma physics, space weather, and complex systems due to new discoveries, theories, publications, and invited talks. It supports Australia's involvement in NASA's $600M STEREO mission and other space efforts, and greatly leverages Australia's small numbers and budget on the world stage. The project will enhance Australia's human capital due to high-level training and increased expertise of new staff, students, and CIs. The new data and methods will develop, better exploit, and make more competitive Australia's scientific infrastructure. Last, the exciting discoveries expected will attract the international media and increase science's appeal to the public.Read moreRead less
Critical Issues in Space Physics. Wave-particle interactions are vitally important in, and fundamental to plasma physics, with widespread applications to space and astrophysical phenomena. They link the generation and properties of waves and radiation with the heating, acceleration, and transport of plasma particles. The research program aims to develop theories tested with observational data that resolve four critical issues in space physics: (1) whether linear mode conversion is important, (2) ....Critical Issues in Space Physics. Wave-particle interactions are vitally important in, and fundamental to plasma physics, with widespread applications to space and astrophysical phenomena. They link the generation and properties of waves and radiation with the heating, acceleration, and transport of plasma particles. The research program aims to develop theories tested with observational data that resolve four critical issues in space physics: (1) whether linear mode conversion is important, (2) why waves and radiation are typically bursty, (3) how heating and particle acceleration occur in magnetic reconnection regions such as the solar atmosphere, and (4) how to explain important solar, interplanetary, and magnetospheric radio phenomena that depend on both microscopic wave-particle physics and largescale source structure.Read moreRead less
The propagation of gravity currents over complex terrain. Dust storms, volcanic eruptions, rivers rushing sediment into lakes and seas, and spillages of toxic liquids and gases, are all examples of environmental problems that can occur, and when they do, they threaten both wild life and human communities. This project involves research that will provide quantitative understanding of key processes in these problems from which reliable software will be built to predict their consequences. The soft ....The propagation of gravity currents over complex terrain. Dust storms, volcanic eruptions, rivers rushing sediment into lakes and seas, and spillages of toxic liquids and gases, are all examples of environmental problems that can occur, and when they do, they threaten both wild life and human communities. This project involves research that will provide quantitative understanding of key processes in these problems from which reliable software will be built to predict their consequences. The software will produce an animation of dust containing fluids moving over a landscape of arbitrary complexity.Read moreRead less
Stochastic methods in mathematical geophysical fluid dynamics. We will develop analytical and numerical methods for long-term weather forecasting and climate modelling. The project deals with the mathematical aspects and fundamental mechanisms underpinning numerical
climate forecasting. We will develop new methodology for accurate modelling of the important and dominant slow global processes without explicitly resolving the precise detail of the weather of each day at all scales. Using sophisti ....Stochastic methods in mathematical geophysical fluid dynamics. We will develop analytical and numerical methods for long-term weather forecasting and climate modelling. The project deals with the mathematical aspects and fundamental mechanisms underpinning numerical
climate forecasting. We will develop new methodology for accurate modelling of the important and dominant slow global processes without explicitly resolving the precise detail of the weather of each day at all scales. Using sophisticated mathematics, this project investigates how to parameterize the fast and small processes by using stochastic processes in a controllable and adaptive way.Read moreRead less
Solidification, Channel Formation and Thermal Erosion In Lava Flows. This project will elucidate the complex dynamics that control the cooling rates and advance rates of lava flows. It will result in improved hazard assessments for volcanic areas around the world affected by the advance of lava flows, including many Pacific islands and most countries around the Pacific Rim. The project will also provide a quantitative understanding of thermal erosion in lava channels, which will help explain th ....Solidification, Channel Formation and Thermal Erosion In Lava Flows. This project will elucidate the complex dynamics that control the cooling rates and advance rates of lava flows. It will result in improved hazard assessments for volcanic areas around the world affected by the advance of lava flows, including many Pacific islands and most countries around the Pacific Rim. The project will also provide a quantitative understanding of thermal erosion in lava channels, which will help explain the formation and location of major ore deposits of nickel, copper and platinum in Western Australia and elsewhere around the world.Read moreRead less
Mineral Physics of the Earth's Core. Most information on the nature of Earth's core properties has come from teleseismic studies, which detect weak earthquake-wave signals that have traversed the Earth's deepest interior. These studies have revealed several unusual and enigmatic phenomena in the core, but interpretation of these observations must rely on mineral-physics data on the materials of the core (e.g. iron-based alloys). This project will create a unique world-class ultra-high pressure l ....Mineral Physics of the Earth's Core. Most information on the nature of Earth's core properties has come from teleseismic studies, which detect weak earthquake-wave signals that have traversed the Earth's deepest interior. These studies have revealed several unusual and enigmatic phenomena in the core, but interpretation of these observations must rely on mineral-physics data on the materials of the core (e.g. iron-based alloys). This project will create a unique world-class ultra-high pressure laboratory to obtain such data. By defining the composition and mineralogy of Earth's core, it will place Australia in the forefront of this exciting research field, and will also represent a major national resource for the study of novel materials at extreme conditions.Read moreRead less
The Fluid Dynamics of Lava Flows: Silicic Domes and Basaltic Channels. Lava flows surface much of the Earth, Moon and terrestrial planets. This interdisciplinary program will combine laboratory experiments, mathematical analysis, numerical modelling and field observations to elucidate the complex dynamics of lava flows, including the nonlinear coupling of flow with surface solidification and basal melting. The focus will be on lava dome instability, and flow in open channels and tubes. Expected ....The Fluid Dynamics of Lava Flows: Silicic Domes and Basaltic Channels. Lava flows surface much of the Earth, Moon and terrestrial planets. This interdisciplinary program will combine laboratory experiments, mathematical analysis, numerical modelling and field observations to elucidate the complex dynamics of lava flows, including the nonlinear coupling of flow with surface solidification and basal melting. The focus will be on lava dome instability, and flow in open channels and tubes. Expected outcomes include: the ability to predict rates of lava flow cooling and advance, indicators of hazardous lava dome collapse, improved volcanic hazard assessments, explanations of the genesis of world-class magmatic ore deposits, and new interpretations of planetary surface morphologies.Read moreRead less