Extinction transition on diffusive substrate: a different universality class?

Galit Evron; David A. Kessler; Nadav M. Shnerb

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arXiv · 0808.0592

Extinction transition on diffusive substrate: a different universality class?

Galit Evron·David A. Kessler·Nadav M. Shnerb

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Abstract

The extinction transition on a one dimensional heterogeneous substrate with diffusive correlations is studied. Diffusively correlated heterogeneity is shown to affect the location of the transition point, as the reactants adapt to the fluctuating environment. At the transition point the density decays like $t^{-0.159}$, as predicted by the theory of directed percolation. However, the scaling function describing the behavior away from the transition shows significant deviations from the DP predictions; it is suggested, thus, that the off-transition behavior of the system is governed by local adaptation to favored regions.

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Galit Evron, David A. Kessler, Nadav M. Shnerb. 2008-08-05. Extinction transition on diffusive substrate: a different universality class?. https://arxiv.org/abs/0808.0592

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