Level of study
BAC +5
ECTS
6 credits
Component
Faculty of Science
Hourly volume
36h
Description
This course provides an introduction to the field of complex fluids and active matter, with applications to both the physical chemistry of soft matter and the physics of life and biological objects.
It is common to both PhyMV and SoftMat courses.
Objectives
To present a modern introduction to the classical fields of complex fluid rheology and their applications, as well as to the emerging field of active matter: self-propelled fluids with collective behaviors, found at different scales in living or physico-chemical systems: bird flights, fish schools, crowds...
Necessary pre-requisites
- Hydrodynamics
Recommended Prerequisites:
- Surfaces, Interfaces, Colloids,
- Statistical Physics
- Physics Biology
Knowledge control
Integral Continuous Control
Syllabus
A) Complex fluids :
Presentation of non-Newtonian fluids: rheofludient, rheo-thickening, viscoelastic, thixotropic.
Examples of practical systems: colloidal suspensions, polymers, biological fluids (blood, mucus, ....), liquid crystals, pastes, giant micelles, transient networks, biological applications.
Phenomenological models of non-Newtonian fluids: Maxwell model, Voigt model (visco-plastic solid), Bingham model (threshold fluid).
Measurement methods: different types of rheometers and different types of tests. One-point and two-point micro-rheology.
Microfluidics: microfluidic flows and rheology, capillary flows, stagnant and contracting flows. Instabilities (Saffman-Taylor...)
B) Active ingredient:
Examples of active matter, flights, schools, hordes, crowds, bacterial colonies, mechanical examples (vibrators), physico-chemical examples, actin gel, SPV, partition system byABS.
The Vicsek model, simulations and phenomenology.
Hydrodynamic description, conservation laws, symmetries, slow variables.
Dry" active material
- Polar: Toner & Tu model, study of the properties of the model: phase transition, 2D order, giant fluctuations, "sound" waves...
- Thematic : Model of Ramaswamy, Simha & Toner.
Wet" active material. Hydrodynamics of active gels.
Optional examples to choose from:
- Particles of Janus
- Active growth. Active sedimentation.
- Active membrane fluctuation spectra.
- The parABS system, equations, equilibrium, quasi-static limit, oscillations, stability, travelling waves.
- Self Propelled Voronoi Model.