物理学特別講義AVII

1. Introduction to active matter. Definition. Experimental/Observational examples with comments on their controllability and simplicity. Dry and wet active matter. Scalar and vectorial (aligning) active matter. 2. Dry Aligning Dilute Active Matter. The singular position of DADAM within active matter studies. Historical importance of DADAM. Vicsek results and Toner-Tu predictions. The 3 basic classes. Current global viewpoint. Numerical considerations. 3. Particle-level phenomenology of the 3 basic classes of DADAM. Ferromagnetic alignment (classic Vicsek model). Nematic alignment (active nematics, self-propelled ‘rods’). Experimental evidence. 4. Kinetic and hydrodynamic descriptions of the 3 basic classes (Part 1). Various kinetic approaches. The Boltzmann-Ginzburg-Landau (BGL) method. Linear stability of homogeneous solutions. 5. Kinetic and hydrodynamic descriptions of the 3 basic classes (Part 2). Nonlinear inhomogeneous solutions to BGL hydrodynamic equations. Why and when stochastic hydrodynamic equations are needed. How to obtain and study them. 6. Kinetic and hydrodynamic descriptions of the 3 basic classes (Part 3). Comparing the faithfulness of different kinetic approaches and of the hydrodynamic equations derived from them. 7. Beyond the 3 basic classes, beyond DADAM. True continuous order-disorder phase transitions within DADAM (non-metric interactions; incompressible limit; the fourth class). Beyond DADAM (if time allows, and depending on interest): Alignment and repulsion (dense systems; explicit self-propelled objects); Cohesive flocks; Memory; Wet systems; Quenched disorder; Quantitative modeling of experimental systems.

講義形式／Lectures

１人15分程度の面接による/by individual interviews if credit is required.

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