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Field of Research : Mathematical Physics
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  • Funded Activity

    Discovery Projects - Grant ID: DP1093224

    Funder
    Australian Research Council
    Funding Amount
    $363,500.00
    Summary
    Spin-liquids, antiferromagnetism, and superconductivity in organic charge transfer salts: synthesis, neutron scattering and theory. Materials have driven the digital revolution. Understanding and controlling silicon has allowed us to make smaller devices that perform better; an iPhone has more computing power than a PC had ten years ago. For this remarkable trend to continue future devices will need to utilise novel physics and be made from new materials. We will grow crystals of organic molecul .... Spin-liquids, antiferromagnetism, and superconductivity in organic charge transfer salts: synthesis, neutron scattering and theory. Materials have driven the digital revolution. Understanding and controlling silicon has allowed us to make smaller devices that perform better; an iPhone has more computing power than a PC had ten years ago. For this remarkable trend to continue future devices will need to utilise novel physics and be made from new materials. We will grow crystals of organic molecules, whose properties derive from the correlated motion of the electrons in these materials. State-of-the-art 'neutron scattering' experiments will test theories of the way the electrons behave in these materials. We will answer fundamental questions, which is an important first step towards harnessing such effects for future technology.
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    Funded Activity

    Discovery Projects - Grant ID: DP1094073

    Funder
    Australian Research Council
    Funding Amount
    $555,000.00
    Summary
    Materials science and superconductivity in the new Fe-based high temperature superconductors. Novel superconducting materials with high superconducting transition temperature and upper critical field are one of the most important research fields in the community of materials science and condensed matter physics. Any significant breakthrough in Fe-based superconductors will result in exotic physics and possible novel superconducting electronic devices, and will have the potential for ground-break .... Materials science and superconductivity in the new Fe-based high temperature superconductors. Novel superconducting materials with high superconducting transition temperature and upper critical field are one of the most important research fields in the community of materials science and condensed matter physics. Any significant breakthrough in Fe-based superconductors will result in exotic physics and possible novel superconducting electronic devices, and will have the potential for ground-breaking research. The purpose of this project is to bring Australia to the forefront of this field and to work with world leading researchers within Australia and worldwide to make advancements in this field.
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    Funded Activity

    Linkage - International - Grant ID: LX0348206

    Funder
    Australian Research Council
    Funding Amount
    $14,800.00
    Summary
    Fluctuations in the properties of nonequilibrium fluids and the influence of thermostatting mechanisms. The behaviour of nonequilibrium fluids will be studied by combining ideas from liquid state theory, statistical mechanics and dynamical systems theory. This work will result in development and testing of mathematical expressions (Fluctuation Theorems) that are consistent with the Second Law of Thermodynamics, which determines the direction of any change in any macroscopic system, but are also .... Fluctuations in the properties of nonequilibrium fluids and the influence of thermostatting mechanisms. The behaviour of nonequilibrium fluids will be studied by combining ideas from liquid state theory, statistical mechanics and dynamical systems theory. This work will result in development and testing of mathematical expressions (Fluctuation Theorems) that are consistent with the Second Law of Thermodynamics, which determines the direction of any change in any macroscopic system, but are also applicable to microscopic systems. The expressions will determine the probability that finite sized systems will violate the Second Law for small periods of time and will therefore contribute to development of a fundamental understanding of microscopic systems and the development of nanotechnology.
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    Funded Activity

    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.
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    Funded Activity

    Discovery Projects - Grant ID: DP0449810

    Funder
    Australian Research Council
    Funding Amount
    $525,000.00
    Summary
    Fluid properties and chaotic dynamics in equilibrium and nonequilibrium states. Over the last decade a revolution has been taking place in nonequilibrium statistical mechanics [Physics Today, Sept, 2002]. This revolution is characterized by adapting the mathematical theory of chaos to nonequilibrium statistical mechanics. Fundamental new theorems and algorithms for computing transport coefficients have been derived. The CIs have played a key role in this revolution. We seek to broaden these dev .... Fluid properties and chaotic dynamics in equilibrium and nonequilibrium states. Over the last decade a revolution has been taking place in nonequilibrium statistical mechanics [Physics Today, Sept, 2002]. This revolution is characterized by adapting the mathematical theory of chaos to nonequilibrium statistical mechanics. Fundamental new theorems and algorithms for computing transport coefficients have been derived. The CIs have played a key role in this revolution. We seek to broaden these developments by: generalizing a theorem which relates transport coefficients to chaoticity; detailed studies of the influence of thermostatting mechanisms on nonequilibrium chaoticity and fluctuations, and by understanding the range of applicability of a nonequilibrium fluctuation theorem for non-isoenergetic systems.
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    Funded Activity

    Discovery Projects - Grant ID: DP1095638

    Funder
    Australian Research Council
    Funding Amount
    $274,000.00
    Summary
    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.
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    Funded Activity

    Discovery Projects - Grant ID: DP0662953

    Funder
    Australian Research Council
    Funding Amount
    $365,000.00
    Summary
    Experimental Demonstrations of New Theorems of Nonequilibrium Thermodynamics. In the last decade, two theorems have been proposed to revolutionise the field of thermodynamics. These theorems lift the restriction of the thermodynamic limit, allowing thermodynamic concepts to be applied to small systems such as nanomachines, and characterise systems that may be far-from-equilibrium. These theorems are at odds with a traditional understanding of 19th century thermodynamics where equilibrium is cent .... Experimental Demonstrations of New Theorems of Nonequilibrium Thermodynamics. In the last decade, two theorems have been proposed to revolutionise the field of thermodynamics. These theorems lift the restriction of the thermodynamic limit, allowing thermodynamic concepts to be applied to small systems such as nanomachines, and characterise systems that may be far-from-equilibrium. These theorems are at odds with a traditional understanding of 19th century thermodynamics where equilibrium is central and the Second Law inviolate. However they are critical to the application of thermodynamic concepts to modern systems of the 21st century. Using Optical Tweezers, we will experimentally demonstrate these theorems, present irrefutable evidence of their validity, and demonstrate their application in modern systems.
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    Funded Activity

    Discovery Projects - Grant ID: DP0452512

    Funder
    Australian Research Council
    Funding Amount
    $210,000.00
    Summary
    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.
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    Funded Activity

    Discovery Projects - Grant ID: DP0452097

    Funder
    Australian Research Council
    Funding Amount
    $220,000.00
    Summary
    Algebraic approach to exactly soluble models for disordered systems. In nanoscience there are a diverse range of systems in which disorder, randomness, or noise can play a significant role. Examples range from quantum wires to qubits to unzipping DNA. Even the simplest mathematical models for systems in the presence of disorder have a rich mathematical structure because they can be formulated in terms of Lie algrebras or diffusion on a curved surface. The complementary physical and mathem .... Algebraic approach to exactly soluble models for disordered systems. In nanoscience there are a diverse range of systems in which disorder, randomness, or noise can play a significant role. Examples range from quantum wires to qubits to unzipping DNA. Even the simplest mathematical models for systems in the presence of disorder have a rich mathematical structure because they can be formulated in terms of Lie algrebras or diffusion on a curved surface. The complementary physical and mathematical expertise of the two Chief Investigators is crucial to this project.
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    Funded Activity

    Discovery Projects - Grant ID: DP0877908

    Funder
    Australian Research Council
    Funding Amount
    $360,000.00
    Summary
    Relative free energies from nonequilibrium simulations: algorithms for determination of binding affinities, conformational states and phase transitions. Leading edge research will enable state of the art techniques in statistical mechanics to be applied to practical problems. All processes in biological, chemical and physical systems are governed by their free energy landscape, often only accessible computationally. This project will lead to an advanced tool for free energy calculation. Advanc .... Relative free energies from nonequilibrium simulations: algorithms for determination of binding affinities, conformational states and phase transitions. Leading edge research will enable state of the art techniques in statistical mechanics to be applied to practical problems. All processes in biological, chemical and physical systems are governed by their free energy landscape, often only accessible computationally. This project will lead to an advanced tool for free energy calculation. Advancement of emerging technologies in nanoscience, porous materials, membrane transport and drug design will benefit from this capability. The project therefore addresses the Priority Goal 'Breakthrough science'. A PhD student and an Early Career Research will be trained in research, gaining a range of valuable skills in theory and simulation.
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