Berlin 2008 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 13: Cardiac dynamics and reaction-diffusion systems

DY 13.6: Talk

Tuesday, February 26, 2008, 12:45–13:00, MA 004

Percolation effects in front propagation — •Sergio Alonso¹, Karin John², Raymond Kapral³, and Markus Baer¹ — ¹Physikalisch-Technische Bundesanstalt, Berlin, Germany — ²Université J. Fourier, Grenoble, France — ³University of Toronto, Toronto, Canada

Waves and fronts propagate in nonlinear spatially extended systems. Normally extended systems present heterogeneities and deformations which hinder the stable propagation and which cannot be avoided. Numerical models do not usually consider any type of defects and they study homogeneous models. Here we study the propagation of a front in a bistable media for two different types of defects: some sites of the numerical grid do not propagate the front (site percolation), or some connections between the sites do not propagate (bond percolation). We calculate the velocity of both situations for different density of defects, and compare the results with an effective medium theory.