A voluntary new excercise has been added.

Place: Seminar room Institute for Theoretical Physics

Additional lectures to make up for those that had to be cancelled are scheduled for

Monday, 22.07.13, 10:00-12:00 and 13:00-15:00

Tuesday, 23.07.13, 14:00-16:00.

- Stochastic processes and their description (Master-, Fokker-Planck equation)
- Basic models (random walk, cellular automata models)
- Analytical and numerical methods
- Phase transitions
- Traffic (jam formation, phases, models)
- Pedestrian dynamics (collective effects, evacuations)
- Biological systems (ant trails, intracellular transport)
- Socio-economic systems (stock market, auctions, supply chains)
- Game theory (chip distribution in Poker, Ebay auctions)
- Pattern formation

Knowledge in statistical physics is helpful, but not essential.

Problem sheet 2

Problem sheet 3

Problem sheet 4

Problem sheet 5

Problem sheet 6

Problem sheet 7

Problem sheet 8

Slides for traffic lecture

Slides for biological transport lecture

Slides for pedestrian dynamics lecture

Simulation of Brownian motion, another applet

Simulation of the Nagel-Schreckenberg model

Flashing ratchet (Java applet)

Brownian motion (Java applet)

- A. Schadschneider, D. Chowdhury, K. Nishinari:
*Stochastic Transport in Complex Systems*(Elsevier, 2010) - P.L. Krapivsky, S. Redner, E. Ben-Naim:
*A Kinetic View of Statistical Physics*(Cambridge University Press, 2010) - V. Privman (Ed.):
*Nonequilibrium Statistical Mechanics in One Dimension*(Cambridge University Press, 1997) - N.G. van Kampen:
*Stochastic Processes in Physics and Chemistry*(North Holland) - M. Treiber, A. Kesting:
*Verkehrsdynamik und -simulation*(Springer, 2010); english translation:*Traffic Flow Dynamics*(Springer, 2013) - B. Chopard, M. Droz:
*Cellular Automaton Modeling of Physical Systems*(Cambridge University Press) - R. Mahnke, J. Kaupuzs, I. Lubashevsky:
*Physics of Stochastic Processes: How Randomness Acts in Time*(Wiley VCH, 2008) - N. Boccara:
*Modeling Complex Systems*(Springer) - G.M. Schütz:
*Exactly solvable models for many-body systems far from equilibrium*, in Phase Transitions and Critical Phenomena, Vol.19, hrsg. von C. Domb and J.L. Lebowitz (Academic Press) - D. Chowdhury, K. Nishinari, A. Schadschneider:
*Physics of transport and traffic phenomena in biology: from molecular motors and cells to organisms*, Physics of Life Reviews 2, 318 (2005) PDF - D. Chowdhury, K. Nishinari, A. Schadschneider:
*Self-organized patterns and traffic flow in colonies of organisms: from bacteria and social insects to vertebrates*, Phase Trans. 77, 601 (2004) PDF - D. Chowdhury, L. Santen, A. Schadschneider:
*Statistical Physics of Vehicular Traffic and Some Related Systems*, Physics Reports 329, 199 (2000), PDF

- D. Helbing:
*Traffic and related self-driven many-particle systems*, Rev. Mod. Phys. 73, 1067 (2001), PDF