Dresden 2009 – wissenschaftliches Programm
DY 12.35: Poster
Dienstag, 24. März 2009, 14:30–16:30, P1A
Scaling in a One-Dimensional Model of Cyclic Interactions — •Anton Winkler1, Tobias Reichenbach2, and Erwin Frey1 — 1Arnold Sommerfeld Center for Theoretical Physics and Center for NanoScience, Department of Physics, Ludwig-Maximilians-Universität München, Theresienstraße 37, 80333 München — 2Laboratory of Sensory Neuroscience, The Rockefeller University, 1230 York Avenue, New York, NY 10065, U.S.A.
Cyclic (rock-paper-scissors-type) population models serve to mimic complex species interactions. We have studied the effect of mutations on such a paradigmatic three-species model in one dimension, utilizing simple renormalization arguments complemented with exact calculations for certain limiting cases. We have thus achieved to build up a comprehensive picture of the system's dynamics. As the final arbiter of the validity of our results, we have employed stochastic simulations, which corroborate our predictions. Our methods and findings are potentially relevant for the spatio-temporal evolution of other non-equilibrium processes.