Dissipation and relaxation in statistical mechanics. This project studies the mathematical conditions for relaxation either to equilibrium or to steady states, which is important in predicting behaviour in diverse fields including climate modelling, materials science, nanotechnology and biology. Early career researchers will be involved in the project, gaining valuable skills in theory and simulation.
Properties of nonequilibrium steady states. A nonequilibrium steady state (NESS) occurs when work is performed on a system and the heat so generated is absorbed by a thermostatting mechanism. The system settles into steady state and its properties no longer change. Almost all experimental systems of interest are in a nonequilibrium state, so understanding NESSs is highly significant. Unlike time stationary equilibrium states, the distribution of microstates in a NESS cannot be described by simpl ....Properties of nonequilibrium steady states. A nonequilibrium steady state (NESS) occurs when work is performed on a system and the heat so generated is absorbed by a thermostatting mechanism. The system settles into steady state and its properties no longer change. Almost all experimental systems of interest are in a nonequilibrium state, so understanding NESSs is highly significant. Unlike time stationary equilibrium states, the distribution of microstates in a NESS cannot be described by simple closed form distributions. This project will determine properties, symmetries and extrema of NESS using concepts and theorems developed for studying transient nonequilibrium states, and will also determine if approximate, physically relevant forms of the phase space distributions can be developed.Read moreRead less
ARC Centre of Excellence for Mathematical and Statistical Frontiers of Big Data, Big Models, New Insights. In today's world, massive amounts of data in a variety of forms are collected daily from a multitude of sources. Many of the resulting data sets have the potential to make vital contributions to society, business and government, as well as impact on international developments, but are so large or complex that they are difficult to process and analyse using traditional tools. The aim of this ....ARC Centre of Excellence for Mathematical and Statistical Frontiers of Big Data, Big Models, New Insights. In today's world, massive amounts of data in a variety of forms are collected daily from a multitude of sources. Many of the resulting data sets have the potential to make vital contributions to society, business and government, as well as impact on international developments, but are so large or complex that they are difficult to process and analyse using traditional tools. The aim of this Centre is to create innovative mathematical and statistical models that can uncover the knowledge concealed within the size and complexity of these big data sets, with a focus on using the models to deliver insight into problems vital to the Centre's Collaborative Domains: Healthy People, Sustainable Environments and Prosperous Societies.Read moreRead less
Understanding dissipation, thermal conduction and diffusion in superionic conductors using ab initio nonequilibrium molecular dynamics simulation. Lithium ion batteries are widely used in computers, cars and more recently in aircraft. However they may exhibit thermal runaway leading to fire. Recently these problems have grounded the fleet of Boeing 787 aircraft, worldwide. Understanding superionic conduction is of thus of considerable technological importance. The project will focus on understa ....Understanding dissipation, thermal conduction and diffusion in superionic conductors using ab initio nonequilibrium molecular dynamics simulation. Lithium ion batteries are widely used in computers, cars and more recently in aircraft. However they may exhibit thermal runaway leading to fire. Recently these problems have grounded the fleet of Boeing 787 aircraft, worldwide. Understanding superionic conduction is of thus of considerable technological importance. The project will focus on understanding mass and heat flow in superionic conductors using a new molecular simulation technique that the team has recently developed. This technique combines nonequilibrium statistical mechanics and ab initio molecular dynamics simulation. The project will learn how heat is generated and conducted through these materials and how temperature influences these processes, and how heat and mass flow couple together.Read moreRead less
The improvement of climate change investigations by developing and applying innovative evolutionary subset time series modelling using semi-parametric sparse-patterned approaches. With an estimated US$6.98 trillion loss indicated in the Stern review, severe climate change will make world climate conditions harsher and more likely include large natural climate disasters. The health of the Australian economy is critically dependent on decisions of environmental managers. However, most problems of ....The improvement of climate change investigations by developing and applying innovative evolutionary subset time series modelling using semi-parametric sparse-patterned approaches. With an estimated US$6.98 trillion loss indicated in the Stern review, severe climate change will make world climate conditions harsher and more likely include large natural climate disasters. The health of the Australian economy is critically dependent on decisions of environmental managers. However, most problems of complexity arising in climate change involve issues on which we do not possess a deep understanding. This project draws upon a set of inter-disciplinary concepts and models centred in neural networks that enable us to advance our understanding of complexity, leading to superior quantitative tools and models to allow for improved environmental decision-making.
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Centre for Mathematical and Statistical Modelling of Complex Systems. This Centre, formed by a group of high-profile researchers, brings expertise from linked but hitherto disparate areas together. It will place Australia at the forefront of research into complex systems.
The mission of the Centre is to stimulate research in mathematical and statistical modelling of complex systems and to encourage cross-fertilisation of ideas and techniques. The specific objectives are
- to formulate and ana ....Centre for Mathematical and Statistical Modelling of Complex Systems. This Centre, formed by a group of high-profile researchers, brings expertise from linked but hitherto disparate areas together. It will place Australia at the forefront of research into complex systems.
The mission of the Centre is to stimulate research in mathematical and statistical modelling of complex systems and to encourage cross-fertilisation of ideas and techniques. The specific objectives are
- to formulate and analyse mathematical and statistical models for natural and artificial complex systems,
- to use these models to develop an understanding of the behaviour of these systems
- to incorporate this understanding into strategies for management and control.Read moreRead less
Special Research Initiatives - Grant ID: SR0354716
Funder
Australian Research Council
Funding Amount
$10,000.00
Summary
Energetically Open Systems Research Network Study. Conceptual frameworks arising in the physical sciences, such as non-equilibrium statistical mechanics and thermodynamics, synergetics, chaos and dynamical systems theory, are seminal in the emerging science of complexity. This study will lay the groundwork for a network to link Australian and overseas research on these fundamental concepts, and their application within the context of entropy-producing systems vital to the long-term sustainabilit ....Energetically Open Systems Research Network Study. Conceptual frameworks arising in the physical sciences, such as non-equilibrium statistical mechanics and thermodynamics, synergetics, chaos and dynamical systems theory, are seminal in the emerging science of complexity. This study will lay the groundwork for a network to link Australian and overseas research on these fundamental concepts, and their application within the context of entropy-producing systems vital to the long-term sustainability of the earth - oceans, atmosphere, biosphere, CO2-free energy production, space and solar environment. The network would facilitate the development of young investigators and be linked into wider complex systems networks such as the CSIRO Centre for Complex Systems Science.Read moreRead less
Understanding Dynamic Aspects of Economic Inequality. This project aims to study dynamic aspects of inequality in Australia by exploring the changes in labour and housing market conditions and their relation to the changes in the distribution of income and wealth over the last decade. The project also aims to develop new econometric techniques to examine the factors that are responsible for the changes in the distribution of income and wealth and a range of labour and housing market outcomes. Pa ....Understanding Dynamic Aspects of Economic Inequality. This project aims to study dynamic aspects of inequality in Australia by exploring the changes in labour and housing market conditions and their relation to the changes in the distribution of income and wealth over the last decade. The project also aims to develop new econometric techniques to examine the factors that are responsible for the changes in the distribution of income and wealth and a range of labour and housing market outcomes. Particular attention will be paid to the role of the changes in individual-specific characteristics (such as education, age, employment status, and occupation) and neighbourhood-specific characteristics (such as house prices and population ageing) in producing inequality.Read moreRead less
Integrin Activation by Fluid Flow Disturbance: Mechanobiology Approaches. Understanding how cells can sense and respond to mechanical environment such as dynamic blood flow represents a fundamental question in the emerging field of mechanobiology. This project develops new biomechanical engineering approaches to determine the critical interrelationships among fluid flow disturbance, platelet clotting and the mechano-sensitive signal transduction mechanisms of integrin receptor – the most importa ....Integrin Activation by Fluid Flow Disturbance: Mechanobiology Approaches. Understanding how cells can sense and respond to mechanical environment such as dynamic blood flow represents a fundamental question in the emerging field of mechanobiology. This project develops new biomechanical engineering approaches to determine the critical interrelationships among fluid flow disturbance, platelet clotting and the mechano-sensitive signal transduction mechanisms of integrin receptor – the most important mechano-sensor implicated in cell adhesion, migration, growth and survival. Specifically, it integrates nationally unique cutting-edge techniques including single-molecule force probe, microparticle image velocimetry, microfluidics and molecular dynamics simulation, super resolution and 3D volumetric imaging modalities.Read moreRead less
Optimisation of piezoelectric metamaterials: Towards robotic stress sensors. This project aims to design new piezoelectric material microstructures that can enhance the measurement of complex local stress states within robotic limbs. The project expects to generate new knowledge of the achievable properties of multi-poled piezoelectric materials and develop computational tools for the analysis and structural optimisation of such materials. The designed microstructures may revolutionise piezoelec ....Optimisation of piezoelectric metamaterials: Towards robotic stress sensors. This project aims to design new piezoelectric material microstructures that can enhance the measurement of complex local stress states within robotic limbs. The project expects to generate new knowledge of the achievable properties of multi-poled piezoelectric materials and develop computational tools for the analysis and structural optimisation of such materials. The designed microstructures may revolutionise piezoelectric sensor technology. Expected outcomes include manufactured proof-of-concept sensors that enable measurement of local stress fields. This should provide significant benefits, such as improved future robot capability and reliability, and research training for next-generation Australian computational mathematicians. Read moreRead less