Berlin 2008 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 28: Statistical physics far from thermal equilibrium

DY 28.6: Talk

Thursday, February 28, 2008, 15:45–16:00, A 060

Scaling Behaviour in a Cyclic Population 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

Cyclic (rock-paper-scissors-type) population models serve as simple models of more complex species interactions. Focusing on a paradigmatic three-species model with mutations in one dimension, we show how simple renormalization group arguments yield an excellent analytical understanding of the emerging reactive steady state. Care is taken in discriminating two types of mutations, giving rise to two different renormalization group eigenvalues. The results are compared to stochastic lattice simulations. Our methods and findings are potentially relevant for the spatio-temporal evolution of other non-equilibrium stochastic processes.