Unbounded autocatalytic growth on diffusive substrate: The extinction transition

Sasi Moalem, Nadav M. Shnerb

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


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 languageEnglish
Pages (from-to)339-345
Number of pages7
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Issue number4-5
StatePublished - 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.


Dive into the research topics of 'Unbounded autocatalytic growth on diffusive substrate: The extinction transition'. Together they form a unique fingerprint.

Cite this