Mathematical and computational models for agrichemical retention on plants. Mathematical and computational models for agrichemical retention on plants. This project aims to build interactive software that simulates agrichemical spraying for multiple virtual plants reconstructed from scanned data. Mathematical modelling and computer simulation could offer an alternative to expensive experimental programs for agrichemical spraying of plants. This project will use contemporary fluid mechanics to bu ....Mathematical and computational models for agrichemical retention on plants. Mathematical and computational models for agrichemical retention on plants. This project aims to build interactive software that simulates agrichemical spraying for multiple virtual plants reconstructed from scanned data. Mathematical modelling and computer simulation could offer an alternative to expensive experimental programs for agrichemical spraying of plants. This project will use contemporary fluid mechanics to build practical mathematical models for droplet impaction, spreading and evaporation on leaf surfaces, and experimentally calibrate and validate the models. The software is expected to drive the development of agrichemical products that increase retention, minimise environmental impacts, and reduce costs for end-users.Read moreRead less
Discovery Early Career Researcher Award - Grant ID: DE170100088
Funder
Australian Research Council
Funding Amount
$360,000.00
Summary
Self-calibrating quantum devices. This project aims to improve control over quantum systems. It will develop self-calibrating quantum devices, the equivalent of Noise Cancelling Headphones for quantum systems. The project will create filtering protocols, suppressing characterised noise via appropriate controls. This is expected to lead to greater control over systems, demanded by quantum computers and nano devices, like next generation computer chips.
When quantum is not desirable: quantum noise vs. quantum technologies. One of the key remaining obstacles to the successful deployment of quantum computers & sensors in science, industry, and society is the existence of noise sources that are themselves quantum, and thus have an unmatched potential for disruption. This project will attack this problem by providing (i) a detailed understanding of the impact of quantum noise sources, and developing protocols to (ii) characterize and (iii) overcome ....When quantum is not desirable: quantum noise vs. quantum technologies. One of the key remaining obstacles to the successful deployment of quantum computers & sensors in science, industry, and society is the existence of noise sources that are themselves quantum, and thus have an unmatched potential for disruption. This project will attack this problem by providing (i) a detailed understanding of the impact of quantum noise sources, and developing protocols to (ii) characterize and (iii) overcome the negative effects such realistic noise entails. In taking this necessary step for the implementation of these breakthrough technologies, it will not only significantly advance knowledge but will have a direct impact in the development of a technology in which Australia and other leading nations are heavily invested.Read moreRead less
From superintegrability to quasi-exact solvability: theory and application. This project aims to develop mathematical techniques to resolve longstanding problems in the area of integrability and exact solvability. Quantum integrable systems and exact solvable models are of central importance for understanding the correct behaviours of complex quantum problems without approximation. This project aims to construct sophisticated mathematical tools to settle key questions across a variety of models ....From superintegrability to quasi-exact solvability: theory and application. This project aims to develop mathematical techniques to resolve longstanding problems in the area of integrability and exact solvability. Quantum integrable systems and exact solvable models are of central importance for understanding the correct behaviours of complex quantum problems without approximation. This project aims to construct sophisticated mathematical tools to settle key questions across a variety of models such as superintegrable systems, quantum spin chains, and spin-boson models. Anticipated applications of the proposed research include the accurate prediction of physical phenomena, from energy spectra to quantum correlations. Such advances should have significant ramifications, and provide benefits, well beyond the mathematical discipline itself.Read moreRead less
Discovery Early Career Researcher Award - Grant ID: DE180101098
Funder
Australian Research Council
Funding Amount
$374,200.00
Summary
New mathematical theory for fluid motion on surfaces with holes. This project aims to develop new explicit mathematical results to enhance the understanding of potential theory – a fundamental area of mathematics - on surfaces with complicating geometrical properties. There are very few such fundamental results on complicated curved surfaces, such as those with holes. This project should provide a toolbox for solving many different mathematical problems on curved surfaces. The new results should ....New mathematical theory for fluid motion on surfaces with holes. This project aims to develop new explicit mathematical results to enhance the understanding of potential theory – a fundamental area of mathematics - on surfaces with complicating geometrical properties. There are very few such fundamental results on complicated curved surfaces, such as those with holes. This project should provide a toolbox for solving many different mathematical problems on curved surfaces. The new results should also have application to the analysis of fluid flows over porous media and practical engineering structures.Read moreRead less
Fluctuations in the properties of nonequilibrium fluids and the influence of thermostatting mechanisms. The behaviour of nonequilibrium fluids will be studied by combining ideas from liquid state theory, statistical mechanics and dynamical systems theory. This work will result in development and testing of mathematical expressions (Fluctuation Theorems) that are consistent with the Second Law of Thermodynamics, which determines the direction of any change in any macroscopic system, but are also ....Fluctuations in the properties of nonequilibrium fluids and the influence of thermostatting mechanisms. The behaviour of nonequilibrium fluids will be studied by combining ideas from liquid state theory, statistical mechanics and dynamical systems theory. This work will result in development and testing of mathematical expressions (Fluctuation Theorems) that are consistent with the Second Law of Thermodynamics, which determines the direction of any change in any macroscopic system, but are also applicable to microscopic systems. The expressions will determine the probability that finite sized systems will violate the Second Law for small periods of time and will therefore contribute to development of a fundamental understanding of microscopic systems and the development of nanotechnology.
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Fluid properties and chaotic dynamics in equilibrium and nonequilibrium states. Over the last decade a revolution has been taking place in nonequilibrium statistical mechanics [Physics Today, Sept, 2002]. This revolution is characterized by adapting the mathematical theory of chaos to nonequilibrium statistical mechanics. Fundamental new theorems and algorithms for computing transport coefficients have been derived. The CIs have played a key role in this revolution. We seek to broaden these dev ....Fluid properties and chaotic dynamics in equilibrium and nonequilibrium states. Over the last decade a revolution has been taking place in nonequilibrium statistical mechanics [Physics Today, Sept, 2002]. This revolution is characterized by adapting the mathematical theory of chaos to nonequilibrium statistical mechanics. Fundamental new theorems and algorithms for computing transport coefficients have been derived. The CIs have played a key role in this revolution. We seek to broaden these developments by: generalizing a theorem which relates transport coefficients to chaoticity; detailed studies of the influence of thermostatting mechanisms on nonequilibrium chaoticity and fluctuations, and by understanding the range of applicability of a nonequilibrium fluctuation theorem for non-isoenergetic systems.Read moreRead less
Functionally Graded Ultra High Perfomance Concete Structure under Flexure. This project aims to develop a novel multilayer functionally graded concrete structure that is a mixture of normal strength concrete and ultra high performance concrete with the mixing ratio varying in a layer-wise manner, offering a highly cost-effective structural design solution with significantly improved safety and durability over conventional concrete structures. The expected outcomes include the innovative design, ....Functionally Graded Ultra High Perfomance Concete Structure under Flexure. This project aims to develop a novel multilayer functionally graded concrete structure that is a mixture of normal strength concrete and ultra high performance concrete with the mixing ratio varying in a layer-wise manner, offering a highly cost-effective structural design solution with significantly improved safety and durability over conventional concrete structures. The expected outcomes include the innovative design, experimental data on the static and dynamic structural behaviour, development of reliable simulation techniques and optimal design procedures for the proposed structure with greatly reduced material costs. The project will have huge benefits to Australian civil engineering industry and national economy.
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Discovery Early Career Researcher Award - Grant ID: DE230101196
Funder
Australian Research Council
Funding Amount
$439,012.00
Summary
Data-Driven Design for 3D Printed Materials with Tailored Fracture Response. Fracture is the main source of material failure and may cause serious engineering disasters and even death. This project aims to develop a Data-Driven Design System that intelligently optimizes local materials and architectures for heterogeneous structures with desired fracture response, and enhancing their mechanical fracture properties including stiffness, strength, toughness, and failure displacement. It will open up ....Data-Driven Design for 3D Printed Materials with Tailored Fracture Response. Fracture is the main source of material failure and may cause serious engineering disasters and even death. This project aims to develop a Data-Driven Design System that intelligently optimizes local materials and architectures for heterogeneous structures with desired fracture response, and enhancing their mechanical fracture properties including stiffness, strength, toughness, and failure displacement. It will open up a new and promising research field in mechanics and data-driven science that deals with intractable inverse problems in broad engineering fields. Economic, high-performance, and customized 3D printed structural materials will be generated to benefit national corporations and enterprises and meet the high-end industry needs.Read moreRead less
Heisenberg-limited lasers: building the revolution. The project aims to design and build a revolutionary new type of laser based on the ground-breaking 2020 Nature Physics paper by the two Chief Investigators. The significance of this work is that it overturns 60 years of theory about the limits to laser coherence, by applying 21st century quantum theory and quantum technology to the problem. This project expects to greatly advance the theory and, by instigating a collaboration with world-leadin ....Heisenberg-limited lasers: building the revolution. The project aims to design and build a revolutionary new type of laser based on the ground-breaking 2020 Nature Physics paper by the two Chief Investigators. The significance of this work is that it overturns 60 years of theory about the limits to laser coherence, by applying 21st century quantum theory and quantum technology to the problem. This project expects to greatly advance the theory and, by instigating a collaboration with world-leading experimentalists working with superconducting quantum devices, to demonstrate a laser with coherence beyond what was thought possible. Benefits of the project should flow from the manifold applications for highly coherent radiation, including scaling up superconducting quantum computing.Read moreRead less