Berlin 2008 – wissenschaftliches Programm

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AKSOE: Arbeitskreis Physik sozio-ökonomischer Systeme

AKSOE 13: Poster Session (posters on display 10:00-19:00)

AKSOE 13.17: Poster

Mittwoch, 27. Februar 2008, 17:30–19:00, Poster G

Mutations in the Three-Species Cyclic Lotka-Volterra Model on a Lattice — •Anton Winkler, Tobias Reichenbach, and Erwin Frey — Arnold Sommerfeld Center for Theoretical Physics and Center for NanoScience, Department of Physics, Ludwig-Maximilians-Universität München, Theresienstraße 37, D-80333 München, Germany

We study the effect of mutations on the dynamics of the three-species cyclic Lotka-Volterra Model, also known as the Rock-Scissors-Paper game, on a regular one-dimensional lattice. It is demonstrated that a simple real-space renormalization group approach is capable of capturing many of the features of the process in the vicinity of the unstable critical point, located at zero mutation rate. Care is taken in discriminating between mutations to the respective ``predator'' and ``prey'', giving rise to two different renormalization group eigenvalues. The approach enables us to work out reliable scaling relations which are robust to a broad range of variations in the model.