Attacks and infections in percolation processes

We discuss attacks and infections at propagating fronts of percolation processes based on the extended general epidemic process. The scaling behavior of the number of the attacked and infected sites in the long time limit at the ordinary and tricritical percolation transitions is governed by specifi...

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Bibliographic Details
Published in:Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2017-08, Vol.50 (32), p.324002
Main Authors: Janssen, Hans-Karl, Stenull, Olaf
Format: Article
Language:English
Subjects:
dynamical field theory
percolation
phase transitions
population dynamics
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Summary:We discuss attacks and infections at propagating fronts of percolation processes based on the extended general epidemic process. The scaling behavior of the number of the attacked and infected sites in the long time limit at the ordinary and tricritical percolation transitions is governed by specific composite operators of the field-theoretic representation of this process. We calculate corresponding critical exponents for tricritical percolation in mean-field theory and for ordinary percolation to 1-loop order. Our results agree well with the available numerical data.
ISSN:1751-8113
1751-8121
DOI:10.1088/1751-8121/aa7a2c