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AKB: Biologische Physik

AKB 50: Poster Session "Biological Physics"

AKB 50.114: Poster

Friday, March 12, 2004, 10:30–13:00, B

Pattern formation in systems with conservation laws — •Ronny Peter and Walter Zimmermann — Theoretische Physik, Universität des Saarlandes, 66041 Saarbrücken

Pattern formation in dissipative systems, especially in systems with unconserved order parameters, were intensively explored during the recent decade. Pattern formation in systems with conservation laws, that recently emerged in models for biological systems, however exhibit new aspects. For both, stationary and spatially periodic pattern as well as for traveling and standing waves, in systems with conservation laws large-scale neutral modes must be included in the asymptotic analysis for pattern formation near onset. Various consequences are related to these slow modes. As a microscopic example a model of ion-channels with open-closing kinetics embedded in a biomembrane is presented. This model leads to generic amplitude equations occuring in systems with conserved order parameter and are furthermore studied in the general case of a simple reaction-diffusion system.