Solvable models on regular and random lattices in statistical mechanics and field theory. There are only a few solvable models in statistical mechanics and field theory, but those that are known give deep insights into the cooperative behaviour that characterizes a critical point, as well as
leading to fascinating mathematics. The two chief investigators have been at the forefront of this field for many years. Currently there are many notable exciting challenges they wish to address:
the re ....Solvable models on regular and random lattices in statistical mechanics and field theory. There are only a few solvable models in statistical mechanics and field theory, but those that are known give deep insights into the cooperative behaviour that characterizes a critical point, as well as
leading to fascinating mathematics. The two chief investigators have been at the forefront of this field for many years. Currently there are many notable exciting challenges they wish to address:
the relationship between Tutte's work on dichromatic polynomials and matrix models, the outstanding problem of calculating the order parameters of the chiral Potts model, and the eigenvalue spectra of the transfer matrices that occur in integrable models.
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Development of microwave tomography techniques and inverse methods for biomedical imaging applications. Microwave tomography is a rapidly emerging imaging technology with highly significant applications in industry and medicine. In particular, given its sensitivity to differences between normal and malignant breast tissue, non-invasive microwave imaging has been the subject of intense research interest in the last ten years. In collaboration with workers at Chalmers University in Sweden, we wi ....Development of microwave tomography techniques and inverse methods for biomedical imaging applications. Microwave tomography is a rapidly emerging imaging technology with highly significant applications in industry and medicine. In particular, given its sensitivity to differences between normal and malignant breast tissue, non-invasive microwave imaging has been the subject of intense research interest in the last ten years. In collaboration with workers at Chalmers University in Sweden, we will develop and evaluate a scanning microwave imaging tomographic system with a number of potential industrial and biomedical applications. This appears to be a new Australian initiative.Read moreRead less
Special Research Initiatives - Grant ID: SR0354605
Funder
Australian Research Council
Funding Amount
$10,000.00
Summary
The Earth System Dynamics Network for a Sustainable Australia. Earth comprises systems of enormous complexity that sustain all life and control the distribution of mineral, energy and water resources. Thus understanding these dynamic systems provides the key to sustainable resource usage. The aim of The Earth System Dynamics Network is to facilitate scientific interactions through establishment of an earth and environmental sciences grid that links national and regional data assets with high per ....The Earth System Dynamics Network for a Sustainable Australia. Earth comprises systems of enormous complexity that sustain all life and control the distribution of mineral, energy and water resources. Thus understanding these dynamic systems provides the key to sustainable resource usage. The aim of The Earth System Dynamics Network is to facilitate scientific interactions through establishment of an earth and environmental sciences grid that links national and regional data assets with high performance computing through open sourced middleware. The result will be an unparalleled predictive capacity for complex Earth systems. The outcome will be confidence in the knowledge that underpins our decisions as stakeholders to keep Australia sustainable.Read moreRead less
Algebraic invariants in mathematics and physics. This project is at the leading edge of fundamental mathematics and will result in important scientific advances that will keep Australia at the forefront internationally in this field of research. The topics under investigation are having high impact worldwide so there is an emphasis on international networking and on research training, particularly of research students. Australians would normally need to go to leading international centres such a ....Algebraic invariants in mathematics and physics. This project is at the leading edge of fundamental mathematics and will result in important scientific advances that will keep Australia at the forefront internationally in this field of research. The topics under investigation are having high impact worldwide so there is an emphasis on international networking and on research training, particularly of research students. Australians would normally need to go to leading international centres such as Paris to partake in projects of this nature. That high profile research of this kind can be done in Australia will enhance our capacity to retain scientific talent.Read moreRead less
Low-dimensional quantum systems. The theory of integrable systems of statistical mechanics and quantum field theory is currently one of most rapidly developing and fascinating subjects in theoretical physics and mathematics.
It allows to obtain an exact description of strongly-interacting quantum systems in one or two space dimensions and provides fundamental tools for understanding of critical phenomena and physics of small systems like quantum wires, carbon nanotubes and Josephson junctions ....Low-dimensional quantum systems. The theory of integrable systems of statistical mechanics and quantum field theory is currently one of most rapidly developing and fascinating subjects in theoretical physics and mathematics.
It allows to obtain an exact description of strongly-interacting quantum systems in one or two space dimensions and provides fundamental tools for understanding of critical phenomena and physics of small systems like quantum wires, carbon nanotubes and Josephson junctions. The project addresses two particular problems in this field: the three-dimensional lattice model with continuous spins and calculation of form factors in a two-dimensional massive field theory with a supersymmetry.
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