Dissipative Lévy random searches: universal behavior at low target density

We investigate the problem of survival at the very low target-density limit and report on a second-order phase transition for one-dimensional random searches in which the energy cost of locomotion is a function of the distance traveled by the searcher. Surprisingly, from analytical calculations (als...

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Bibliographic Details
Published inPhysical review. E, Statistical, nonlinear, and soft matter physics Vol. 86; no. 6 Pt 1; p. 061102
Main Authors Ribeiro-Neto, P J, Raposo, E P, Araújo, H A, Faustino, C L, da Luz, M G E, Viswanathan, G M
Format Journal Article
LanguageEnglish
Published United States 01.12.2012
Subjects
Algorithms
Binding Sites
Biophysics - methods
Computational Biology - methods
DNA - chemistry
Ecology - methods
Models, Statistical
Models, Theoretical
Probability
Protein Binding
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Summary:We investigate the problem of survival at the very low target-density limit and report on a second-order phase transition for one-dimensional random searches in which the energy cost of locomotion is a function of the distance traveled by the searcher. Surprisingly, from analytical calculations (also tested numerically) we find identical critical exponents for arbitrary energy cost functions. We conclude that there is a single universality class that describes this process.
ISSN:1550-2376
DOI:10.1103/PhysRevE.86.061102