An introduction to active matter
Informacje ogólne
Kod przedmiotu: | 1100-4IAM |
Kod Erasmus / ISCED: | (brak danych) / (brak danych) |
Nazwa przedmiotu: | An introduction to active matter |
Jednostka: | Wydział Fizyki |
Grupy: |
Fizyka, II stopień; przedmioty sp. Matematyczne i komputerowe modelowanie procesów fizycznych Fizyka, II stopień; przedmioty specjalności "Fizyka teoretyczna" Fizyka, II stopień; przedmioty z zakresu analizy numerycznej Fizyka; przedmioty prowadzone w języku angielskim Physics (Studies in English), 2nd cycle; courses from list "Numerical Analysis" Physics (Studies in English); 2nd cycle |
Punkty ECTS i inne: |
(brak)
|
Język prowadzenia: | angielski |
Założenia (opisowo): | * Basic condensed matter physics and statistical mechanics (for example, topics covered by Chaikin, Paul M., et al.. Principles of condensed matter physics. and Statistical Physics from L D Landau); * Numerical methods such as solving pde, etc; * Python (NumPy, matplotlib or similar plotting library) |
Skrócony opis: |
In recent years active matter physics has become the ideal framework for out-of-equilibrium biological processes. For example, suspensions of motile microorganisms, crosslinked filaments in the cell cytoskeleton, living tissues, and various collective motions of mammals, birds, and fish can be all framed from an active matter perspective. Active systems are driven out of equilibrium by a constant energy input at the microscopic scale, which generally achieves a systematic movement in dissipating it. Despite various similarities with equilibrium systems, active materials constitute a new class of non-equilibrium systems in which the interplay between activity and long-range elasticity gives rise to novel phases with unusual structural, dynamical, and mechanical properties. This course briefly introduces the vast literature in active systems from a computational and theoretical point of view. |
Pełny opis: |
Topic 1. Active matter: what it is? Why active matter? Flocks, shoals. A review of statistical mechanics. Computer Lab 1: A refresher to python using Google Collab Topic 2. Systems out of thermodynamic equilibrium. Fick's law of diffusion. Langevin equation. Brownian Motion. Ornstein–Uhlenbeck process Computer Lab 2: Random Walks. Brownian Motion. Mean Square Displacement. Correlation Functions. Topic 3. Dry active matter. Vicsek model. Polar order. Active Brownian particles. Athermal Phase separation. Computer Lab 3: A premier to Molecular Dynamics: Linked lists, neighbor lists. Force Potentials Topic 4. The Navier–Stokes equation. Nematic liquid crystals. Order Parameters. Landau Theory of Liquid Crystals. Nematodynamics. Active nematics. Computer Lab 4: Vicsek model/Athermal Phase separation/A colloid model for active nematics. |
Literatura: |
Chaikin, Paul M., Tom C. Lubensky, and Thomas A. Witten. Principles of condensed matter physics. Vol. 10. Cambridge: Cambridge university press, 1995. Zwanzig, Robert. Nonequilibrium statistical mechanics. Oxford University Press, 2001. Ramaswamy, S. (2010). The mechanics and statistics of active matter. Annual Review of Condensed Matter Physics, 1, 323–345. Marchetti, M. C., Joanny, J. F., Ramaswamy, S., Liverpool, T. B., Prost, J., Rao, M., & Simha, R. A. (2013). Hydrodynamics of soft active matter. Reviews of Modern Physics, 85(3), 1143–1189. De Magistris, G., & Marenduzzo, D. (2015). An introduction to the physics of active matter. Physica A: Statistical Mechanics and Its Applications, 418, 65–77. Ramaswamy, S. (2017). Active matter. Journal of Statistical Mechanics: Theory and Experiment, 2017(5), 054002. Berthier, L., & Kurchan, J. (2019). Lectures on nonequilibrium active systems. ArXiv. Shaebani, M. R., Wysocki, A., Winkler, R. G., Gompper, G., & Rieger, H. (2020). Computational models for active matter. Nature Reviews Physics, 2(4), 181–199. |
Metody i kryteria oceniania: |
(1) Participation in the classes, (2) Proposed exercises and Python notebooks explaining the solutions, (3) a final project of choice to be defended as an oral exam. |
Właścicielem praw autorskich jest Uniwersytet Warszawski, Wydział Fizyki.