Unbounded autocatalytic growth on diffusive substrate: The extinction transition

Sasi Moalem; Nadav M. Shnerb

doi:10.1016/j.physleta.2007.02.081

Unbounded autocatalytic growth on diffusive substrate: The extinction transition

Sasi Moalem, Nadav M. Shnerb

Department of Physics

Bar-Ilan University

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

1 Scopus citations

Abstract

The effect of diffusively correlated spatial fluctuations on the proliferation-extinction transition of autocatalytic agents is investigated numerically. Reactants adaptation to spatio-temporal active regions is shown to lead to proliferation even if the mean field rate equations predict extinction, in agreement with previous theoretical predictions. While in the proliferation phase the system admits a typical time scale that dictates the exponential growth, the extinction times distribution obeys a power law at the parameter region considered.

Original language	English
Pages (from-to)	339-345
Number of pages	7
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	366
Issue number	4-5
DOIs	https://doi.org/10.1016/j.physleta.2007.02.081
State	Published - 2 Jul 2007

Bibliographical note

Funding Information:
We thank Prof. David Kessler and Prof. Sorin Solomon for very helpful discussions about both theory and simulation techniques. This work was supported by the 6th framework EU CO3 pathfinder, Israeli Science Foundation (grant No. 281/03) and by Yeshaya Horowitz Fellowship.

Funding

We thank Prof. David Kessler and Prof. Sorin Solomon for very helpful discussions about both theory and simulation techniques. This work was supported by the 6th framework EU CO3 pathfinder, Israeli Science Foundation (grant No. 281/03) and by Yeshaya Horowitz Fellowship.

Funders	Funder number
6th framework EU
Israeli Science Foundation	281/03

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10.1016/j.physleta.2007.02.081

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Unbounded autocatalytic growth on diffusive substrate: The extinction transition

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