Dynamics of ordered systems and topological defects
We study large-scale collective effects emerging from the presence of topological defects in system with persistent order. We are developing non-singular field theories to describe the dynamics of topological defects from the order parameters associated to different discrete rotational and translational symmetries.
Stochastic processes
Using stochastic toy models, we address fundamental questions in such systems concerning the long-time behavior of the mean-square displacement in relation to the topology of the embedding space, dispersion and mixing of particles, escape and first-passage time problems in confinement. The diffusing entities could be passive or active (self-propelled) Brownian particles interacting with each other or their environment.
Interfacial dynamics
We use phase field modelling approach to study interfacial dynamics in complex systems. Several projects are geared toward geophysical applications related to rock/ice deformation in the presence of fluid flows and dissolution/precipitation processes.
One project focuses on modelling the fragmentation process of sea ice, and how evolving fracture networks break an ice sheet into smaller pieces. This research is conducted in collaboration with a team led by Véronique Dansereau from the University of Grenoble Alpes.