Directed assembly and photoelectric properties of core-shell nanowire networks of PbSe-TiO2 heterostructures for high efficiency low-cost solar cells. The proposed program is aimed at studying numerous fundamental properties and phenomena of photoelectrochemical cells that have an important impact on environmentally friendly solutions to energy problems. Specifically, solar cells have a significant role in energy markets and in lessening CO2 emissions and other environmental impacts. Solar cell ....Directed assembly and photoelectric properties of core-shell nanowire networks of PbSe-TiO2 heterostructures for high efficiency low-cost solar cells. The proposed program is aimed at studying numerous fundamental properties and phenomena of photoelectrochemical cells that have an important impact on environmentally friendly solutions to energy problems. Specifically, solar cells have a significant role in energy markets and in lessening CO2 emissions and other environmental impacts. Solar cell technology, coupled with renewable energy sources, has the potential to provide a long-term solution to the energy crisis and the global warming threat. In addition, the strong team to be assembled will reach a leading position in this area of cutting edge technology. The outcomes will benefit Australian industries.Read moreRead less
NUMERICAL MODELS OF PLATE TECTONICS, MANTLE CONVECTION AND SLAB DYNAMICS WITH EVOLVING FAULTS. We plan to develop a method for simulating large-scale
geological structures with a much improved treatment
of tectonic faults in 3D.
Current computer models have sharp geological faults at plate
boundaries represented by broad, blurred zones. New techniques
for modeling cracks in engineering structures will be scaled up to
the whole Earth.
This will help us to understand how the Earth's p ....NUMERICAL MODELS OF PLATE TECTONICS, MANTLE CONVECTION AND SLAB DYNAMICS WITH EVOLVING FAULTS. We plan to develop a method for simulating large-scale
geological structures with a much improved treatment
of tectonic faults in 3D.
Current computer models have sharp geological faults at plate
boundaries represented by broad, blurred zones. New techniques
for modeling cracks in engineering structures will be scaled up to
the whole Earth.
This will help us to understand how the Earth's plates move and
interact now and in the past and how the structure of the continents
arose.
Not only is this intrinsically interesting, it
will also be of immediate practical benefit to geological modelers.Read moreRead less
Design of reactive foils for joining amorphous alloys. Amorphous alloys or metallic glasses are special materials that retain the random structure of a liquid but in a solid form. They can show special properties of very high strength, toughness and corrosion resistance. The enormous difficulty in joining amorphous alloys to make larger assemblies is greatly curbing their uptake in technology. In this research, state of the art experimental and computational tools will be used to investigate the ....Design of reactive foils for joining amorphous alloys. Amorphous alloys or metallic glasses are special materials that retain the random structure of a liquid but in a solid form. They can show special properties of very high strength, toughness and corrosion resistance. The enormous difficulty in joining amorphous alloys to make larger assemblies is greatly curbing their uptake in technology. In this research, state of the art experimental and computational tools will be used to investigate the extremely fast high temperature reactions occurring in reactive foils of layered metals which, when inserted at the proposed join and ignited, quickly produce a bond. The research will lay the foundation for a robust and reliable means for joining amorphous alloys by means of reactive foils. Read moreRead less
Group orbits in garmonic analysis and ergodic theory. Researchers from many areas need a type of mathematical analysis which involves the behaviour of a system - which may be a set of data points - under repeated application of some operation or group of operations. The structures arising from this kind of process are known as group orbits. The project gives information about their nature. Two major types of orbits are considered, coming from actions of discrete groups on measure spaces, and fro ....Group orbits in garmonic analysis and ergodic theory. Researchers from many areas need a type of mathematical analysis which involves the behaviour of a system - which may be a set of data points - under repeated application of some operation or group of operations. The structures arising from this kind of process are known as group orbits. The project gives information about their nature. Two major types of orbits are considered, coming from actions of discrete groups on measure spaces, and from smooth actions of Lie groups on manifolds, where powerful geometric methods are available. The project will yield new understandings of entropy, and new approaches to Fourier analysis.Read moreRead less
Operator Integrals and Derivatives. The project is a contribution to the study of non-commutative differential and integral calculus. The novelty of the present project lies in the study of smoothness properties of functions whose domains and ranges are spaces of unbounded, non-commuting operators on some Hilbert space. Our general approach will be based on a detailed investigation of properties of double operator integrals, which permit smoothness estimates of operator-functions. It can be expe ....Operator Integrals and Derivatives. The project is a contribution to the study of non-commutative differential and integral calculus. The novelty of the present project lies in the study of smoothness properties of functions whose domains and ranges are spaces of unbounded, non-commuting operators on some Hilbert space. Our general approach will be based on a detailed investigation of properties of double operator integrals, which permit smoothness estimates of operator-functions. It can be expected that the new techniques generated will find further application in areas of mathematical physics and non-commutative geometry related to quantized calculus.
Read moreRead less
Symmetries in analysis. Technical research is like an iceberg. The 10% you see in applications is supported by 90% hidden, long-term, sometimes abstruse or theoretical-sounding work. The area of mathematical analysis has, for over 200 years, proved its worth as part of the unseen 90%, giving us such important tools as Fourier analysis, statistical mechanics and quantum mechanics. Australia is known as a world leader in mathematical analysis, and it is important for the country to maintain that e ....Symmetries in analysis. Technical research is like an iceberg. The 10% you see in applications is supported by 90% hidden, long-term, sometimes abstruse or theoretical-sounding work. The area of mathematical analysis has, for over 200 years, proved its worth as part of the unseen 90%, giving us such important tools as Fourier analysis, statistical mechanics and quantum mechanics. Australia is known as a world leader in mathematical analysis, and it is important for the country to maintain that edge in a number of key disciplines, so we can continue to participate in global technological advance. The project has an international focus which will enable that to happen. It will also provide training for the next generation of mathematicians. Read moreRead less
Dynamical systems: theory and practice. Mathematical science has proven a crucial platform for science and technology: it may have a long lead-time to application but its impacts are more profound than glamorous technical developments. Australia has an economic imperative to maintain investment in fundamental mathematics. Dynamical systems underpin a wide range of applications in physics, engineering, information science, finance and economics. This project will improve our capacity to model sy ....Dynamical systems: theory and practice. Mathematical science has proven a crucial platform for science and technology: it may have a long lead-time to application but its impacts are more profound than glamorous technical developments. Australia has an economic imperative to maintain investment in fundamental mathematics. Dynamical systems underpin a wide range of applications in physics, engineering, information science, finance and economics. This project will improve our capacity to model systems and to study their evolution, giving us better predictive power. It will keep Australia in the forefront of international research, providing a basis of expertise not otherwise available to Australian researchers and industry. Read moreRead less
Non-commutative analysis and differential calculus. This project is in an area of central mathematical importance and will lead to important scientific advances that will keep Australia at the forefront internationally in this field of research. There is an emphasis on international networking and we will collaborate with leading researchers in USA and France.
Kimberlites and Flood Basalts: Linking Primary Melts with Mantle and Crustal Sources. Intimate relationships between kimberlites and diamonds, and between flood basalts and sulphide mineralisation make the study of deep mantle-derived magmas important to the scientific and exploration communities. The proposed research therefore represents a logical scientific step forward and is hence timely and important in this internationally competitive field, and serve as a training base for young research ....Kimberlites and Flood Basalts: Linking Primary Melts with Mantle and Crustal Sources. Intimate relationships between kimberlites and diamonds, and between flood basalts and sulphide mineralisation make the study of deep mantle-derived magmas important to the scientific and exploration communities. The proposed research therefore represents a logical scientific step forward and is hence timely and important in this internationally competitive field, and serve as a training base for young researchers keen to learn the techniques and methodologies involved. The possible outcomes of the project are of wide interest to geoscientists, and may benefit the Australian economy in that they help to predict whether the continental magmas and respective rocks have formed in parts of deep mantle with mineralisation potential.Read moreRead less
New Insights on Modelling Time Trends with Panel Data: Theory and Practice. This project aims to tackle important challenges in time trend modelling by taking advantage of panel data structures. This project expects to propose flexible models in time trend modelling to retrieve reliable inference. The expected outcomes include innovative econometric models and methods that have a wide range of applications, and are particularly suited for empirical problems within large and complex systems. This ....New Insights on Modelling Time Trends with Panel Data: Theory and Practice. This project aims to tackle important challenges in time trend modelling by taking advantage of panel data structures. This project expects to propose flexible models in time trend modelling to retrieve reliable inference. The expected outcomes include innovative econometric models and methods that have a wide range of applications, and are particularly suited for empirical problems within large and complex systems. This will provide significant benefits to all fields in which data displays any form of trending behaviour. The proposed model is used to evaluate the economic consequences of climate change and global housing market contagion, which provide strong evidence-based insights to the environmental and economic policies in Australia.Read moreRead less