Directed percolation and the extinction transition on a diffusive substrate

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

doi:10.1016/j.physa.2009.09.052

Directed percolation and the extinction transition on a diffusive substrate

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

Department of Physics - at Bar-Ilan University

Bar-Ilan University

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

The extinction transition on a 1D 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 in directed percolation. However, the scaling function describing the behavior away from the transition and other critical exponents shows significant deviations from the known DP behavior. It is suggested, thus, that the off-transition behavior of the system is governed by local adaptation to favored regions.

Original language	English
Pages (from-to)	428-432
Number of pages	5
Journal	Physica A: Statistical Mechanics and its Applications
Volume	389
Issue number	3
DOIs	https://doi.org/10.1016/j.physa.2009.09.052
State	Published - 1 Feb 2010

Bibliographical note

Funding Information:
The work of N.S. was supported by the CO3 STREP of the Complexity Pathfinder of NEST (EC FP6). N.S. thanks also Sorin Solomon and Gur Yaari for many helpful discussions.

Funding

The work of N.S. was supported by the CO3 STREP of the Complexity Pathfinder of NEST (EC FP6). N.S. thanks also Sorin Solomon and Gur Yaari for many helpful discussions.

Funders	Funder number
NEST	EC FP6

Keywords

Directed percolation
Extinction transition
Mobile disorder

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10.1016/j.physa.2009.09.052

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title = "Directed percolation and the extinction transition on a diffusive substrate",

abstract = "The extinction transition on a 1D 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 in directed percolation. However, the scaling function describing the behavior away from the transition and other critical exponents shows significant deviations from the known DP behavior. It is suggested, thus, that the off-transition behavior of the system is governed by local adaptation to favored regions.",

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AU - Kessler, David A.

AU - Shnerb, Nadav M.

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N2 - The extinction transition on a 1D 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 in directed percolation. However, the scaling function describing the behavior away from the transition and other critical exponents shows significant deviations from the known DP behavior. It is suggested, thus, that the off-transition behavior of the system is governed by local adaptation to favored regions.

AB - The extinction transition on a 1D 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 in directed percolation. However, the scaling function describing the behavior away from the transition and other critical exponents shows significant deviations from the known DP behavior. It is suggested, thus, that the off-transition behavior of the system is governed by local adaptation to favored regions.

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KW - Mobile disorder

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Directed percolation and the extinction transition on a diffusive substrate

Abstract

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Keywords

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