Design, analysis and application of Monte Carlo methods in statistical mechanics. Statistical mechanics is a general framework for studying complex systems and Monte Carlo methods are an important computational tool in such studies. This project will develop new, vastly more efficient, Monte Carlo methods for problems in statistical mechanics, and will apply these methods to real-world problems such as urban traffic flow.
Fundamental study of fracture-controlled compensation grouting for ground movement. This project aims to investigate the fundamentals of fracture-controlled compensation grouting in various types of soil, so as to optimise the compensation efficiency and to minimise the risk of collapse of nearby structures. This will result in the minimisation of ground movements induced by underground excavations, which pose a major threat to existing infrastructure and communities worldwide. Small-scale labor ....Fundamental study of fracture-controlled compensation grouting for ground movement. This project aims to investigate the fundamentals of fracture-controlled compensation grouting in various types of soil, so as to optimise the compensation efficiency and to minimise the risk of collapse of nearby structures. This will result in the minimisation of ground movements induced by underground excavations, which pose a major threat to existing infrastructure and communities worldwide. Small-scale laboratory experiments, centrifuge tests and numerical analyses will be conducted to develop an effective and economical grouting method that will provide a valuable design tool for engineers.Read moreRead less
Phase transitions in stochastic systems. This project aims to understand models of physical and biological phenomena in the presence of uncertainty/randomness. Such models often exhibit phase transitions if a variable defining the model is modified. For example, a population explosion can occur if the average number of offspring per individual is larger than one, while macroscopic defects can occur in a material if the density of microscopic defects is larger than some threshold. This research c ....Phase transitions in stochastic systems. This project aims to understand models of physical and biological phenomena in the presence of uncertainty/randomness. Such models often exhibit phase transitions if a variable defining the model is modified. For example, a population explosion can occur if the average number of offspring per individual is larger than one, while macroscopic defects can occur in a material if the density of microscopic defects is larger than some threshold. This research could lead to strategies for directing physical and biological systems towards preferred states or phases, and better prediction of adverse events such as fracturing of Antarctic sea ice.Read moreRead less