Persistence at the onset of spatiotemporal intermittency in coupled map lattices

Details Persistence at the onset of spatiotemporal intermittency in coupled map lattices Persistence at the onset of spatiotemporal intermittency in coupled map lattices

2002-08-13

arxiv.org/abs/cond-mat/0208243v2

Physics

Condensed Matter

Statistical Mechanics

7 pages, Latex, 6 Postscript figures, Europhysics Letters (to appear)

Scientific paper

10.1209/epl/i2003-00240-x

We study persistence in coupled circle map lattices at the onset of spatiotemporal intermittency, an onset which marks a continuous transition, in the universality class of directed percolation, to a unique absorbing state. We obtain a local persistence exponent of theta_l = 1.49 +- 0.02 at this transition, a value which closely matches values for theta_l obtained in stochastic models of directed percolation. This result constitutes suggestive evidence for the universality of persistence exponents at the directed percolation transition. Given that many experimental systems are modelled accurately by coupled map lattices, experimental measurements of this persistence exponent may be feasible.

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