Exact dynamics of the asymmetric exclusion process with boundaries. This project offers an opportunity for a postgraduate student to participate in world-class research. It further strengthens collaborative ties with the renowned department of theoretical physics at Oxford University. The outcomes of this project are expected to provide valuable fundamental information for any applied science in which transport plays a crucial role.
Hecke algebras and hidden symmetries in quantum spin chains. This project further strenghtens collaborative ties with Prof. Rittenberg who is a leading figure in statistical mechanics. Rittenberg is Scientific Director of one of the best journals, and has been instrumental in advocating and advancing Australia's influence in the field. All this on top of his original scientific input which we have become used to in the past years.
Conformal invariance and stationary states. Universal properties in nonequilibrium processes, such as scaling of space and time, suggest the existence of a fundamental, model independent theory describing such phenomena. An analogous theory for equilibrium phenomena exists, namely conformal field theory, and is extremely important for our understanding. Using recent insights this project aims at formulating such a theory for universal nonequilibrium behaviour.
Random matrix theory and high dimensional inference. The topic of high dimensional inference and random matrix theory is one of present international prominence, as evidenced by the number of special programs on this theme of late. This is due both to recent advances in random matrix theory, and the fact that there are applications to areas such as econometrics, meteorology and engineering. With the CI being an expert in random matrix theory, and Professor Bassler an expert in complex systems, a ....Random matrix theory and high dimensional inference. The topic of high dimensional inference and random matrix theory is one of present international prominence, as evidenced by the number of special programs on this theme of late. This is due both to recent advances in random matrix theory, and the fact that there are applications to areas such as econometrics, meteorology and engineering. With the CI being an expert in random matrix theory, and Professor Bassler an expert in complex systems, another line of applications will be emphasized, and a new axis of international linkage formed.Read moreRead less
Quantum correlations in ultra-cold Fermi gases. The field of ultra-cold Fermi gases provides a unique opportunity to develop and test theoretical methods for novel experimental environments of exceptional purity and simplicity. This improved understanding will have potential applications in many fields, ranging from the astrophysics of neutron stars to condensed matter systems such as superconductors or nanostructures. Just as importantly, the project will develop linkages with world leading the ....Quantum correlations in ultra-cold Fermi gases. The field of ultra-cold Fermi gases provides a unique opportunity to develop and test theoretical methods for novel experimental environments of exceptional purity and simplicity. This improved understanding will have potential applications in many fields, ranging from the astrophysics of neutron stars to condensed matter systems such as superconductors or nanostructures. Just as importantly, the project will develop linkages with world leading theoretical groups, which will greatly aid research student education. There are direct applications to experiments on molecule formation with ultra-cold fermions in the ARC Centre of Excellence for Quantum-Atom Optics.Read moreRead less
Amelioration strategies to reduce environmental deterioration and agricultural production losses in water repellent regions. Millions of hectares of potentially productive agricultural land in Australia are affected by water-repellency. Water repellency causes non-uniform infiltration of water in soils and promotes surface erosion. Consequently, water repellent soils cannot be satisfactorily used for agricultural production, resulting in production losses of millions of dollars annually. This in ....Amelioration strategies to reduce environmental deterioration and agricultural production losses in water repellent regions. Millions of hectares of potentially productive agricultural land in Australia are affected by water-repellency. Water repellency causes non-uniform infiltration of water in soils and promotes surface erosion. Consequently, water repellent soils cannot be satisfactorily used for agricultural production, resulting in production losses of millions of dollars annually. This investigation is part of a genuine international effort that will develop new procedures to ameliorate water-repellent soils. New and improved mathematical models and decision support tools will also be developed to improve water-repellent land management, reduce environmental risk and minimise agriculture production loss.Read moreRead less
Computational methods for precise reconstruction of white-matter fibre tracts in the human brain using diffusion tensor imaging. One in five Australians will experience a mental illness. This project will facilitate a new method for: (1) brain researchers to advance the fundamental understanding of mental illnesses and brain disorders; (2) medical clinicians to diagnose and assess the growing incidence of mental illness confronting Australia's ageing population, thereby addressing the ageing wel ....Computational methods for precise reconstruction of white-matter fibre tracts in the human brain using diffusion tensor imaging. One in five Australians will experience a mental illness. This project will facilitate a new method for: (1) brain researchers to advance the fundamental understanding of mental illnesses and brain disorders; (2) medical clinicians to diagnose and assess the growing incidence of mental illness confronting Australia's ageing population, thereby addressing the ageing well and ageing productively national research priority; and, (3) neurosurgeons to guide surgery via localisation of major neural tracts. In addition to contributing to the understanding, diagnosis and treatment of Australia's endemic mental health burden, this project will advance Australia's skill-base and international standing in basic scientific research.Read moreRead less
Analysis and design of control systems with saturation and time-delay. Control engineering is an enabling technology without which most modern engineering systems, such as aircrafts or Internet, can not operate properly. Actuator saturation and time-delays are undesirable phenomena that often arise in control systems leading to poor performance and sometimes instability. For example, both of these phenomena arise in control of modern telecommunication systems, such as Active Queue Management in ....Analysis and design of control systems with saturation and time-delay. Control engineering is an enabling technology without which most modern engineering systems, such as aircrafts or Internet, can not operate properly. Actuator saturation and time-delays are undesirable phenomena that often arise in control systems leading to poor performance and sometimes instability. For example, both of these phenomena arise in control of modern telecommunication systems, such as Active Queue Management in TCP networks. The project aims at tackling these phenomena by using recently developed techniques in antiwindup for saturating actuators and by revisiting some classical methods for Smith predictor design for time-delayed systems.Read moreRead less
Experimental and Numerical Modelling of Gas-Liquid Flows. Multiphase flow systems are encountered in many process industries such as chemical, petroleum, mining, energy, food and pharmaceutical, which are fundamental to the Australian economy. Commercially available computer codes for simulating such systems are currently widely used in many Australian industrial sectors. This research project will address the prevalent deficiency in many of these computer codes and develop new models capable of ....Experimental and Numerical Modelling of Gas-Liquid Flows. Multiphase flow systems are encountered in many process industries such as chemical, petroleum, mining, energy, food and pharmaceutical, which are fundamental to the Australian economy. Commercially available computer codes for simulating such systems are currently widely used in many Australian industrial sectors. This research project will address the prevalent deficiency in many of these computer codes and develop new models capable of predicting a wide range of industrial bubbly flow problems. The resultant improved computer codes will provide industries with significant benefits - especially reduced times and costs in their design and production.Read moreRead less