Universal Scaling of Wave Propagation Failure in Arrays of Coupled Nonlinear Cells

Details Universal Scaling of Wave Propagation Failure in Arrays of Coupled Nonlinear Cells Universal Scaling of Wave Propagation Failure in Arrays of Coupled Nonlinear Cells

1999-09-18

arxiv.org/abs/cond-mat/9909273v1

Physics

Condensed Matter

Soft Condensed Matter

4 pages, 3 figures, RevTeX

Scientific paper

10.1103/PhysRevLett.84.4505

We study the onset of the propagation failure of wave fronts in systems of coupled cells. We introduce a new method to analyze the scaling of the critical external field at which fronts cease to propagate, as a function of intercellular coupling. We find the universal scaling of the field throughout the range of couplings, and show that the field becomes exponentially small for large couplings. Our method is generic and applicable to a wide class of cellular dynamics in chemical, biological, and engineering systems. We confirm our results by direct numerical simulations.

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