The Applied Mathematics Research Centre features a rich portfolio of research interests, revolving around three themes. In statistical physics we study the theory of phase transitions, systems of soft and hard condensed matter, systems with quenched disorder and applications of statistical mechanical methods in non-traditional realms such as transport networks, socieal systems and sports statistics. In fluid dynamics, our research is focused on instabilities and turbulence, magnetohydrodynamics at low  magnetic Reynolds number, plasmas and geophysical flows. We tackle both fundamental questions and problems motivated by industrial or natural questions.

Statistical physics

A spin configuration of the Heisenberg model.

Our broad field of methods and applications cover most areas of modern statistical physics, from classical and quantum systems, through mesoscopic systems, polymers and proteins, to bioinformatics and beyond the classical realm of the physical sciences. Likewise, we employ a wide array of techniques to tackle the statistical physics of these systems, ranging from field theory and perturbative techniques, to the renormalization group, to large-scale Monte Carlo simulations, to heuristic optimization approaches. Read on for more details.

Fluid dynamics

A vortex pair.

Our work in fluid dynamics combines experimental numerical and theoretical approaches to tackle questions of fundamental research intertwined with problems taking their roots in concrete situations, whether natural or industrial. Areas we are particularly interested in include, but are not limited to convection, turbulence, transitional flows and magnetohydrodynamics. These are not only fascinating themes of research in their own right, they are highly also relevant to the metallurgy or the oil industry, with whom we work in collaboration. They also concern the dynamics of planetary atmospheres and of the Earth deep interior, which we are attempting to model experimentally. Read on for more details.