Soft modes in glasses: chemical control of relaxation and mechanical response. The unusual dynamical and mechanical properties of viscous liquids and glasses underpins many existing and emerging technologies, from lubrication to the strength and fragility of bulk metallic glasses. An improved understanding of how macroscopic properties such as viscous flow, ductility and fracture emerge from the microscopic interactions between atoms and molecules will provide the enabling scientific knowledge f ....Soft modes in glasses: chemical control of relaxation and mechanical response. The unusual dynamical and mechanical properties of viscous liquids and glasses underpins many existing and emerging technologies, from lubrication to the strength and fragility of bulk metallic glasses. An improved understanding of how macroscopic properties such as viscous flow, ductility and fracture emerge from the microscopic interactions between atoms and molecules will provide the enabling scientific knowledge for exploiting the properties of such materials on the nanoscale. National expertise in this area will help establish and strengthen international collaboration with leading research institutes in the field.Read moreRead less
THE STABILITY OF GLASS-FORMING ALLOYS: SIMULATION STUDIES. Many of the properties that make common glass so valuable as a material can also be achieved in amorphous metals. The 'trick' is to avoid crystallization as the molten state is cooled. Recently, novel combinations of metals have been found to slow down crystallization enough to produce stable amorphous alloys. Developing these new materials depends on an accurate atomic level understanding of how crystallization is frustrated in glass-fo ....THE STABILITY OF GLASS-FORMING ALLOYS: SIMULATION STUDIES. Many of the properties that make common glass so valuable as a material can also be achieved in amorphous metals. The 'trick' is to avoid crystallization as the molten state is cooled. Recently, novel combinations of metals have been found to slow down crystallization enough to produce stable amorphous alloys. Developing these new materials depends on an accurate atomic level understanding of how crystallization is frustrated in glass-forming alloys. This project's aim is to use computer simulations to provide the first microscopic picture of the atomic order that stabilzes the amorphous alloys with regards to both crystallization and mechanical stress.Read moreRead less
Material boundaries in ultrasonics: New methods and in vitro studies in biomedical phantoms. Ultrasound is an indispensable part of healthcare worldwide. The next wave of applications will see ultrasound pulses used to closely probe suspected disease sites and to directly manipulate bioactive agents. For safe and effective use of such techniques it is essential to know the ultrasound field at the disease site. This project will develop simulation methods to achieve the fast, accurate and case-sp ....Material boundaries in ultrasonics: New methods and in vitro studies in biomedical phantoms. Ultrasound is an indispensable part of healthcare worldwide. The next wave of applications will see ultrasound pulses used to closely probe suspected disease sites and to directly manipulate bioactive agents. For safe and effective use of such techniques it is essential to know the ultrasound field at the disease site. This project will develop simulation methods to achieve the fast, accurate and case-specific results required. Community healthcare will benefit, through better diagnostic capabilities and customized treatment. Australia is well placed to profit further from this research, in view of the growing worldwide demand for more sophisticated, knowledge-based techniques in medicine.Read moreRead less
The effect of vessel wall structures on ultrasonic flow velocity measurements. The flow velocity within a nearly cylindrical vessel is often measured using an external ultrasound transducer via the Doppler principle. Thick vessel walls may present acoustically mismatched structures. This project aims to determine how such walls redistribute the energy in an interrogating ultrasound beam, and how this in turn affects the measurement of flow velocities. This is a fundamental issue, especially imp ....The effect of vessel wall structures on ultrasonic flow velocity measurements. The flow velocity within a nearly cylindrical vessel is often measured using an external ultrasound transducer via the Doppler principle. Thick vessel walls may present acoustically mismatched structures. This project aims to determine how such walls redistribute the energy in an interrogating ultrasound beam, and how this in turn affects the measurement of flow velocities. This is a fundamental issue, especially important in vascular disease where blood flow and blood vessels are affected by wall irregularities and lesions. The new knowledge generated by this project will have practical importance and, by identifying achievable outcomes, potentially major cost savings, in medical ultrasound.Read moreRead less
Australian Laureate Fellowships - Grant ID: FL120100094
Funder
Australian Research Council
Funding Amount
$3,184,657.00
Summary
Geometric construction of critical solutions of nonlinear systems. Whether we are looking at waves on a beach, the dispersal of herds of animals in a landscape, or the interaction of black holes, their patterns of movement rely on rules expressed by non-linear mathematical models. This project will aim to create new mathematical methods to describe the solutions of non-linear systems, which are ubiquitous in modern science.
Critical solutions of nonlinear systems. Whether we are looking at waves on a beach, the dispersal of herds of animals in a landscape, or the interaction of black holes, their patterns of movement rely on rules expressed by nonlinear mathematical models. This project aims to create new mathematical methods to describe critical solutions of nonlinear systems, which are ubiquitous in modern science.
Reflection Groups and Discrete Dynamical Systems. This project aims to solve long-standing problems in discrete dynamical systems that are of particular interest to physics, by using reflection groups to reveal unexpected geometric insights. Mathematics has the power to abstract crucial patterns from complex observations. Symmetries familiar in the real world, like the hexagonal patterns of honeycombs, arise inside convoluted structures in high-dimensional systems. By revealing the structure of ....Reflection Groups and Discrete Dynamical Systems. This project aims to solve long-standing problems in discrete dynamical systems that are of particular interest to physics, by using reflection groups to reveal unexpected geometric insights. Mathematics has the power to abstract crucial patterns from complex observations. Symmetries familiar in the real world, like the hexagonal patterns of honeycombs, arise inside convoluted structures in high-dimensional systems. By revealing the structure of space-filling polytopes in integrable systems, the project seeks to find sought-after reductions of high-dimensional discrete models to two dimensions. Expected outputs include new reductions to discrete Painlevé equations, new circle patterns useful for computer graphics and discrete holomorphic functions.Read moreRead less
Geometric analysis of nonlinear systems. Modern science derives its power from mathematics. The project aims to capture, identify and describe pivotal, transcendental solutions of nonlinear systems that are universal in science, in the sense that they always arise as mathematical models under certain physical limits. The project expects to produce new mathematical methods to describe such functions by using a newly discovered geometric framework. Expected outcomes include the description of elus ....Geometric analysis of nonlinear systems. Modern science derives its power from mathematics. The project aims to capture, identify and describe pivotal, transcendental solutions of nonlinear systems that are universal in science, in the sense that they always arise as mathematical models under certain physical limits. The project expects to produce new mathematical methods to describe such functions by using a newly discovered geometric framework. Expected outcomes include the description of elusive solutions of discrete and higher-dimensional nonlinear systems. This should provide significant benefits, such as new mathematical knowledge, innovative techniques, enhanced scientific capacity in Australia.Read moreRead less