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Analysis Technique: Numerical integration

Appropriate for the study of stochastic field theories and continuum mechanical models.

Related PhD Projects

Research Project: Bottom-up modelling of dense bacterial suspensions

Dense active suspensions, such as those formed by swarming bacteria, constitute a type of active matter that is particularly hard to model.

CEA Saclay/Université Paris-Saclay, France

Research Project: Control theory for topological active matter

Experimental techniques have demonstrated the ability to alter the collective dynamics of active systems with various types of external perturbations.

University of Luxembourg, Luxembourg
Simulations of Self-propelled hard disks, at surface ratio 0.85 and active (Pe number= 100). Each particle is colored according to its local orientational order (hexatic order parameter). Black spots indicate topological defects of different nature. More information in Soft Matter, 2022,18, 566. Credit: Pasquale Digregorio

Research Project: Defect dynamics in pulsating active matter

Some collective states in active matter exhibit topological properties through the formation of vortices and defects. In some living systems, defects have been shown to have important biological functions.

The University of Barcelona, Spain

Research Project: Dynamics of interacting molecular motors

The dynamics of the sperm flagellum has been recently studied with particular attention to its fluctuations. It has been found that the precision of the flagellar beating is close to that of an individual dynein motor powering its motion, which in turn is close to the bound dictated by the thermodynamic uncertainty relation.

NANOTEC-CNR/The Sapienza University of Rome, Italy
Comparison of an agent-based model for flocking and schooling (arrows) with an active field theory (coloured patches). Credit: Richard Blythe

Research Project: Microscopically-informed active field theories

Active field theories are widely used to study collective effects in driven systems at all levels of organisation, allowing instabilities to pattern formation to be identified.

The University of Edinburgh, United Kingdom
Credit: Lukas Hupe

Research Project: Proliferating active media

While active matter theory has successfully advanced our understanding of the collective dynamics resulting from individual sources of activity, multiple active processes usually act in concert in real biological systems.

Max-Planck Institute for Dynamics and Self-Organization/University of Göttingen, Germany