Large Time Behavior of Solutions to Stochastic Partial Differential Equations. We will study equilibria of complex systems described by stochastic partial differential equations. The rates of convergence to equilibrium will be obtained for the equations driven by Gaussian and general Levy noises under physically relevant assumptions. The benefits of this project to the nation include enhancing its scientific standing in the international community, the training of Australian researchers in foref ....Large Time Behavior of Solutions to Stochastic Partial Differential Equations. We will study equilibria of complex systems described by stochastic partial differential equations. The rates of convergence to equilibrium will be obtained for the equations driven by Gaussian and general Levy noises under physically relevant assumptions. The benefits of this project to the nation include enhancing its scientific standing in the international community, the training of Australian researchers in forefront methods of mathematical analysis of complex systems and development of close ties with the world leaders in this area of research. The project will advance our understanding of complex systems arising in Phyiscs, Engineering, Social and Life Sciences, hence fits into the Priority Goal: Breakthrough Science. Read moreRead less
ARC Complex Open Systems Research Network. Complexity is the common frontier in the physical, biological and social sciences. This Network will link specialists in all three sciences through five generic conceptual and mathematical theme activities. It will promote research into how subsystems self-organise into new emergent structures when assembled into an open, non-equilibrium system. Outcomes will include new technologies and software tools and deeper understanding of fundamental questions i ....ARC Complex Open Systems Research Network. Complexity is the common frontier in the physical, biological and social sciences. This Network will link specialists in all three sciences through five generic conceptual and mathematical theme activities. It will promote research into how subsystems self-organise into new emergent structures when assembled into an open, non-equilibrium system. Outcomes will include new technologies and software tools and deeper understanding of fundamental questions in science. An essential function of the network will be introducing researchers end users to new tools and broadening the horizons of graduate students.Read moreRead less
Special Research Initiatives - Grant ID: SR0354741
Funder
Australian Research Council
Funding Amount
$10,000.00
Summary
Quantum Many-Body Systems Network: Breakthrough Science and Frontier Technologies. This Initiative will bring together leading researchers with complementary expertise in mathematics and the enabling sciences to form a Network fostering world leading fundamental research and innovation in quantum many-body systems. The collaborative effort between mathematicians with powerful and sophisticated new techniques and physicists and chemists with deep insight into the challenges and opportunities of t ....Quantum Many-Body Systems Network: Breakthrough Science and Frontier Technologies. This Initiative will bring together leading researchers with complementary expertise in mathematics and the enabling sciences to form a Network fostering world leading fundamental research and innovation in quantum many-body systems. The collaborative effort between mathematicians with powerful and sophisticated new techniques and physicists and chemists with deep insight into the challenges and opportunities of the quantum realm will lead to breakthrough science of vital importance to the development of frontier technologies in Australia. This Network will also place a strong emphasis on research training, the mentoring of early career researchers and establishing collaborations with leading international research groups and networks.
Read moreRead less
Many-body problems. The discovery of new superheavy elements, chemical evolution of the Universe, nuclear reactions deep under the Coulomb barrier in nuclear reactors, in stars and during the Big Bang Nucleosynthesis, accuracy of precise atomic clocks, consistency of the Standard Model in strong fields are among the most vital problems of modern science. This project suggests several new ideas in these areas, which are based on knowledge accumulated in different research fields. The outcomes of ....Many-body problems. The discovery of new superheavy elements, chemical evolution of the Universe, nuclear reactions deep under the Coulomb barrier in nuclear reactors, in stars and during the Big Bang Nucleosynthesis, accuracy of precise atomic clocks, consistency of the Standard Model in strong fields are among the most vital problems of modern science. This project suggests several new ideas in these areas, which are based on knowledge accumulated in different research fields. The outcomes of the research will help Australia to build up a "critical mass" of scientific expertise, which is necessary to place and keep it among leaders in these frontier areas of physics, and to train the next generation of experts in these fields.Read moreRead less
Noncommutative geometry in representation theory and quantum physics. One of the most important problems in natural science is to understand the structure of spacetime at the Planck scale. Mathematical investigations in recent years have predicted that at this scale, spacetime becomes noncommutative. Taking this noncommutativity into account, the project brings together geometry, algebra and quantum mechanics to develop new mathematical theories required for addressing the problem. It promises ....Noncommutative geometry in representation theory and quantum physics. One of the most important problems in natural science is to understand the structure of spacetime at the Planck scale. Mathematical investigations in recent years have predicted that at this scale, spacetime becomes noncommutative. Taking this noncommutativity into account, the project brings together geometry, algebra and quantum mechanics to develop new mathematical theories required for addressing the problem. It promises to make fundamental contributions to both mathematics and theoretical physics. Read moreRead less
Robust and Distributed Control of Quantum Systems. Australia has considerable strengths in quantum technology research. As these technologies advance, the issue of control and in particular feedback control becomes a critical one. This research project will strengthen Australia's position in quantum technology by developing new methodologies for designing high performance robust and distributed feedback controllers for quantum systems. The project will also add to Australia's strength in quantum ....Robust and Distributed Control of Quantum Systems. Australia has considerable strengths in quantum technology research. As these technologies advance, the issue of control and in particular feedback control becomes a critical one. This research project will strengthen Australia's position in quantum technology by developing new methodologies for designing high performance robust and distributed feedback controllers for quantum systems. The project will also add to Australia's strength in quantum technology by contributing to the research training of young researchers with expertise both in control systems engineering and quantum technology. This project will help Australia reap the maximum possible benefit from the new industries to emerge from the field of quantum technology.Read moreRead less
Magnetic ground state and dynamics in high temperature superconductors. This project is aimed at studies of novel advanced materials. It will contribute to research at the leading edge of fundamental physics. This is an international project that incorporates collaboration with two leading German experimental groups. This raises the profile of the project internationally. This collaboration may bring some experiments of overseas scientists to ANSTO OPAL reactor and hence facilitate interactions ....Magnetic ground state and dynamics in high temperature superconductors. This project is aimed at studies of novel advanced materials. It will contribute to research at the leading edge of fundamental physics. This is an international project that incorporates collaboration with two leading German experimental groups. This raises the profile of the project internationally. This collaboration may bring some experiments of overseas scientists to ANSTO OPAL reactor and hence facilitate interactions between Australian and overseas experimental groups.Read moreRead less
Robust Feedback Control in Quantum Technology. Australia has considerable strengths in quantum technology research. As these technologies advance, the issue of control and in particular feedback control becomes a critical one. This research project will strengthen Australia's position in quantum technology by developing new methodologies for designing high performance robust feedback controllers for quantum systems. The project will also add to Australia's strength in quantum technology by contr ....Robust Feedback Control in Quantum Technology. Australia has considerable strengths in quantum technology research. As these technologies advance, the issue of control and in particular feedback control becomes a critical one. This research project will strengthen Australia's position in quantum technology by developing new methodologies for designing high performance robust feedback controllers for quantum systems. The project will also add to Australia's strength in quantum technology by contributing to the research training of young researchers with expertise both in control systems engineering and quantum technology. This project will help Australia reap the maximum possible benefit from the new industries to emerge from the field of quantum technology.
Read moreRead less
Theoretical studies of strongly correlated quantum states in novel condensed matter systems. Strongly correlated quantum electronic and magnetic systems represent one of the most active and exciting areas of condensed matter physics, and one that will continue to have a major bearing on technology. We will pursue an extensive program of research into many aspects of this field, using a variety of analytical and numerical methods, in many of which we are among the world leaders. The project will ....Theoretical studies of strongly correlated quantum states in novel condensed matter systems. Strongly correlated quantum electronic and magnetic systems represent one of the most active and exciting areas of condensed matter physics, and one that will continue to have a major bearing on technology. We will pursue an extensive program of research into many aspects of this field, using a variety of analytical and numerical methods, in many of which we are among the world leaders. The project will add significantly to understanding of the physics of quantum phase transitions, spin-liquids, novel superconductors, and other related phenomena, and of the properties of quantum lattice models.Read moreRead less
Quantitative dynamics of functional magnetic resonance imaging. By modeling and verifying the dynamics of brain activity and blood flow that underlie functional magnetic resonance imaging (fMRI), this project will yield improved scientific outcomes and imaging sensitivity. The new data analysis techniques and technologies that result will yield potentially patentable intellectual property, and will increase the standing of Australia in this rapidly developing field, including via links being bu ....Quantitative dynamics of functional magnetic resonance imaging. By modeling and verifying the dynamics of brain activity and blood flow that underlie functional magnetic resonance imaging (fMRI), this project will yield improved scientific outcomes and imaging sensitivity. The new data analysis techniques and technologies that result will yield potentially patentable intellectual property, and will increase the standing of Australia in this rapidly developing field, including via links being built to leading international workers. The National Research Priority Goals of Frontier Technologies, Breakthrough Science, Smart Information Use, and Promoting an Innovation Economy will thus be advanced.Read moreRead less