New Geometric and Entropy Techniques for Differential Equations. The three main practical outcomes of this mathematical research will be better predictability of salt movement responsible for land degradation, better predictability of surface evolution of microelectronic components in nanoscale technology and an open source computer package that harnesses new and powerful geometrical techniques to solve differential equations. The project will train the next generation of researchers in the math ....New Geometric and Entropy Techniques for Differential Equations. The three main practical outcomes of this mathematical research will be better predictability of salt movement responsible for land degradation, better predictability of surface evolution of microelectronic components in nanoscale technology and an open source computer package that harnesses new and powerful geometrical techniques to solve differential equations. The project will train the next generation of researchers in the mathematical modelling of critical physical processes and it will bring international experts to Australia to work on these vital problems.Read moreRead less
Centre for Mathematical and Statistical Modelling of Complex Systems. This Centre, formed by a group of high-profile researchers, brings expertise from linked but hitherto disparate areas together. It will place Australia at the forefront of research into complex systems.
The mission of the Centre is to stimulate research in mathematical and statistical modelling of complex systems and to encourage cross-fertilisation of ideas and techniques. The specific objectives are
- to formulate and ana ....Centre for Mathematical and Statistical Modelling of Complex Systems. This Centre, formed by a group of high-profile researchers, brings expertise from linked but hitherto disparate areas together. It will place Australia at the forefront of research into complex systems.
The mission of the Centre is to stimulate research in mathematical and statistical modelling of complex systems and to encourage cross-fertilisation of ideas and techniques. The specific objectives are
- to formulate and analyse mathematical and statistical models for natural and artificial complex systems,
- to use these models to develop an understanding of the behaviour of these systems
- to incorporate this understanding into strategies for management and control.Read moreRead less
Dual Geothermal System for Fresh Water Production and Power Generation. The dual geothermal system for fresh water production and power generation developed in this project will use relatively low-temperature geothermal resources and assist in supplying domestic fresh water as well as electricity to small communities remote from the main electricity grid without any associated greenhouse gas emissions. The technology developed will provide an opportunity for industry development, employment crea ....Dual Geothermal System for Fresh Water Production and Power Generation. The dual geothermal system for fresh water production and power generation developed in this project will use relatively low-temperature geothermal resources and assist in supplying domestic fresh water as well as electricity to small communities remote from the main electricity grid without any associated greenhouse gas emissions. The technology developed will provide an opportunity for industry development, employment creation and export potential through commercial manufacture in Australia of small to medium scale dual geothermal systems (e.g., 0.1 MW, 75000 litres fresh water per day).Read moreRead less
Special Research Initiatives - Grant ID: SR0354716
Funder
Australian Research Council
Funding Amount
$10,000.00
Summary
Energetically Open Systems Research Network Study. Conceptual frameworks arising in the physical sciences, such as non-equilibrium statistical mechanics and thermodynamics, synergetics, chaos and dynamical systems theory, are seminal in the emerging science of complexity. This study will lay the groundwork for a network to link Australian and overseas research on these fundamental concepts, and their application within the context of entropy-producing systems vital to the long-term sustainabilit ....Energetically Open Systems Research Network Study. Conceptual frameworks arising in the physical sciences, such as non-equilibrium statistical mechanics and thermodynamics, synergetics, chaos and dynamical systems theory, are seminal in the emerging science of complexity. This study will lay the groundwork for a network to link Australian and overseas research on these fundamental concepts, and their application within the context of entropy-producing systems vital to the long-term sustainability of the earth - oceans, atmosphere, biosphere, CO2-free energy production, space and solar environment. The network would facilitate the development of young investigators and be linked into wider complex systems networks such as the CSIRO Centre for Complex Systems Science.Read moreRead less
Deep ocean thermodynamics and climate change. This project aims to obtain new insights into the thermodynamic and transport properties of mixtures containing water, particularly at high pressures, that impact directly on our understanding of climate change processes. The project will involve the use of a polarisable potential for water which has recently been demonstrated to yield predictions of high accuracy. It will be used to model saline water mixtures containing carbon dioxide, resulting in ....Deep ocean thermodynamics and climate change. This project aims to obtain new insights into the thermodynamic and transport properties of mixtures containing water, particularly at high pressures, that impact directly on our understanding of climate change processes. The project will involve the use of a polarisable potential for water which has recently been demonstrated to yield predictions of high accuracy. It will be used to model saline water mixtures containing carbon dioxide, resulting in valuable data for thermodynamic properties of the world's oceans. These data are of crucial importance for accurate climate change predictions and as such the project will have an important impact on understanding our changing environment.Read moreRead less
Discovery Early Career Researcher Award - Grant ID: DE200101045
Funder
Australian Research Council
Funding Amount
$330,756.00
Summary
Enhanced methods for approximating the structure of large networks. This project aims to explain fundamental structural features of real-world networks such as the internet and online social networks, by advancing complex-analytical techniques. Current knowledge of properties such as reliability, robustness and optimal allocation of resources rely on assumptions that are invalid in real applications. The project expects to improve understanding of inhomogeneous network models by introducing an i ....Enhanced methods for approximating the structure of large networks. This project aims to explain fundamental structural features of real-world networks such as the internet and online social networks, by advancing complex-analytical techniques. Current knowledge of properties such as reliability, robustness and optimal allocation of resources rely on assumptions that are invalid in real applications. The project expects to improve understanding of inhomogeneous network models by introducing an innovative idea of high-order approximations to complex random settings. Expected outcomes include new tools for approximate counting of discrete objects satisfying given constraints. Applications of these tools could have far-reaching benefits to researchers who study quantitative characteristics of discrete systems.Read moreRead less
Linking topology and rheology for designing supramolecular polymer networks. This project aims to develop a foundation for understanding how microscopic topology and intermolecular interactions control the flow behaviour of supramolecular polymer networks. Brownian dynamics algorithms will be developed to unravel the complex dynamics of the network and calibrated by comparison with carefully designed experiments. The expected outcome of the project is a quantitative framework for connecting the ....Linking topology and rheology for designing supramolecular polymer networks. This project aims to develop a foundation for understanding how microscopic topology and intermolecular interactions control the flow behaviour of supramolecular polymer networks. Brownian dynamics algorithms will be developed to unravel the complex dynamics of the network and calibrated by comparison with carefully designed experiments. The expected outcome of the project is a quantitative framework for connecting the molecular structure and energy landscape with resulting macroscopic properties. This project should yield significant benefit in the rational design of supramolecular systems in which the thermorheological properties can be tuned over a wide range of force/time scales with applications spanning from enhanced oil recovery to injectable hydrogels.Read moreRead less
Molecular design of complex lubricants to reduce friction. We will investigate the molecular level design of friction modifiers for a new generation of industrial lubricants. The goal is to dramatically reduce friction between moving mechanical parts, hence increasing energy efficiency in machines and reducing global greenhouse gas emissions. We will design and test these new friction modifiers by a combination of theoretical and computational methods based in statistical mechanics and nonequili ....Molecular design of complex lubricants to reduce friction. We will investigate the molecular level design of friction modifiers for a new generation of industrial lubricants. The goal is to dramatically reduce friction between moving mechanical parts, hence increasing energy efficiency in machines and reducing global greenhouse gas emissions. We will design and test these new friction modifiers by a combination of theoretical and computational methods based in statistical mechanics and nonequilibrium molecular dynamics and directly compare results with experimental measurements. Our investigations will pave the way to develop new cost-effective friction modifiers without the need for traditional and costly trial and error laboratory based experimentation.Read moreRead less
The Role of Thermodynamics and Kinetics in Self-Assembly of Metallic Nanocrystals. Global interest in metallic nano-crystals has recently increased dramatically as the realized applications of these structures begin to span the fields of nanotechnology and nano-biotechnology. In all these applications, control of the size and morphology of the nano-particles is critically important, as these characteristics determine their electronic, optical and catalytic properties. This requires an understa ....The Role of Thermodynamics and Kinetics in Self-Assembly of Metallic Nanocrystals. Global interest in metallic nano-crystals has recently increased dramatically as the realized applications of these structures begin to span the fields of nanotechnology and nano-biotechnology. In all these applications, control of the size and morphology of the nano-particles is critically important, as these characteristics determine their electronic, optical and catalytic properties. This requires an understanding of the underlying thermodynamic and kinetic driving forces, which govern nano-particle nucleation, growth and stability. This project will investigate the role of surface thermodynamics and growth kinetics in the nucleation, growth and stability of metallic nano-crystals in order to understand how to control their synthesis.Read moreRead less
Advanced numerical and analytical techniques for exact studies in combinatorics and statistical mechanics. Exactly solved models are of immense importance in all areas of the theoretical sciences and play important roles in our understanding of complex natural and social phenomena. This project aims to develop powerful new methods that will enable mathematicians and physicists to greatly expand the types of models for which we can find a solution.