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DY: Dynamik und Statistische Physik

DY 21: Nichtlineare Stochastische Systeme

DY 21.6: Talk

Tuesday, March 12, 2002, 11:15–11:30, H3

Drift- and Fluctuation-Induced Ordering and Self-Organization in Driven Many-Particle Systems — •Dirk Helbing — Dresden University of Technology, Institute for Economics and Traffic, D-01062 Dresden

In many (self-)driven many particle systems one can find self-organization phenomena like segregation, leading to a globally optimal state, although the interactions are of local nature [1]. By combination of thermodynamic and game-theoretical concepts, it is possible to formulate a model allowing to desribe such kinds of observations in physical, chemical, biological, or socio-enonomic systems. One can prove the existence of a Lyapunov function for systems with symmetrical interactions. Moreover, fluctuations can increase the level of order or induce self-organization in systems, that would show disorder in the absence of noise! We also find the phenomenon of drift-induced self-organization. [1] D. Helbing and T. Vicsek (1999) Optimal self-organization. New Journal of Physics 1, 13.1–13.17.