Loughborough University is a top-ten rated university in England for research intensity (REF2014) and an outstanding 66% of the work of Loughborough’s academic staff who were eligible to be submitted to the REF was judged as ‘world-leading’ or ‘internationally excellent’, compared to a national average figure of 43%. In choosing Loughborough for your research, you’ll work alongside academics who are leaders in their field. You will benefit from comprehensive support and guidance from our Doctoral College, including tailored careers advice, to help you succeed in your research and future career. Significant progress has been made in developing new, powerful methods for modelling the structure and formation of solid materials. The Phase-Field Crystal (PFC) model allows to model solids at diffusive time scales with atomistic resolution. In this project, the hydrodynamic PFC model will be theoretically extended to include multicomponent and compressive liquids. The problem of nucleation will also be considered. The project has significant theoretical and practical importance in materials modelling, and will include collaboration with leading scientists, including the 2016 Physics Nobelist, J.M. Kosterlitz, Brown University, USA. The problem in quantitative materials modelling at atomic level accuracy is that of achieving large enough length and time scales from quantum mechanical density functional theory or classical molecular dynamics. This can be overcome by the Phase-Field Crystal (PFC) model, which reaches diffusive time scales with atomic level resolution. The model has revolutionised materials modelling and is being applied to a variety of outstanding problems, including novel 2D materials [1]. Most recently, it has been extended to include hydrodynamic degrees of freedom such that solidification of materials from melt can be modelled [2]. This project aims to further develop the PFC model, focussing on multicomponent and compressive liquids, and nucleation terms responsible for solidification in an undercooled melt. The new model will be numerically implemented and benchmarked against relevant theoretical and experimental data.