Hauptseminar Theorie und Simulation der weichen Materie SS 2013/Brownian Motion
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- Date
- 2013-05-07
- Topic
- Theory of Brownian Motion
- Speaker
- Caterina Clausen
- Tutor
- Felix Höfling
Contents
- Brownian motion and thermal fluctuations
- Einstein's theory and Perrin's experiments (nobel prize 1926)
- fluctuation–dissipation theorem, detailed balance
- random walk model: stochastic trajectory vs. probabilistic description
- Langevin equation (underdamped, overdamped)
- Smoluchowski equation (aka Fokker–Plank equation)
- simulation methods for Brownian dynamics
Literature
- R. Kubo: Statistical Physics II (Springer, 1992) [Kap. 1] Google Books
- H. Risken: The Fokker–Planck equation (Springer, 1996) Google Books Preview
- D. ben-Avraham and S. Havlin: Diffusion and reactions in fractals and disordered systems (Cambridge Univ. Press, 2000) [Kap. 3]
- M. D. Haw, J. Phys.: Condens. Matter 14, 7769 (2002) Link
- R. Newburgh, J. Peidle und W. Rueckner, Am. J. Phys. 74, 478 (2006) Link
- R. Huang u. a., Nature Physics 7, 576 (2011) Link
Historic original works
- A. Einstein, Ann. Phys. 322, 549 (1905) Link
- M. von Smoluchowski, Ann. Phys. 326, 756 (1906) Link
- P. Langevin, C. R. Acad. Sci. (Paris) 146, 530–533 (1908) Übersetzung
- J. Perrin: Les Atomes (1913) Link