The universality class of random searches in critically scarce environments

The authors analyze searchers looking for diffusive targets when the formers rely on the net energy gained from the encounters to maintain the process. The system properties are studied at very low target densities, for the searchers at the edge of extinction. They report that super diffusion for bo...

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Bibliographic Details
Published inEurophysics letters Vol. 97; no. 5; p. P1
Main Authors Faustino, C L, Lyra, M L, Raposo, E P, Viswanathan, G M, da Luz, M G E
Format Journal Article
LanguageEnglish
Published 01.03.2012
Subjects
Absorption
Density
Diffusion
Diffusion rate
Durability
Encounters
Search process
Searching
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Summary:The authors analyze searchers looking for diffusive targets when the formers rely on the net energy gained from the encounters to maintain the process. The system properties are studied at very low target densities, for the searchers at the edge of extinction. They report that super diffusion for both types of players confers a substantial increase in the searchers survival rate. A continuous phase transition is observed for any search strategy. From the critical exponents, they find that the problem belongs to the same universality class of directed percolation with absorbing walls. They finally discuss the implications of the random search process criticality to the endurance of searchers as a group and eventual connections with the preservation of biological species.
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ISSN:0295-5075
1286-4854