We present generic scaling laws relating spreading critical exponents and avalanche exponents (in the sense of self-organized criticality) in general systems with absorbing states. Using these scaling laws we present a collection of the state-of-the-art exponents for directed percolation, dynamical percolation, and other universality classes. This collection of results should help to elucidate the connections of self-organized criticality and systems with absorbing states. In particular, some nonuniversality in avalanche exponents is predicted for systems with many absorbing states.
%0 Journal Article
%1 Munoz1999
%A Muñoz, Miguel A.
%A Dickman, Ronald
%A Vespignani, Alessandro
%A Zapperi, Stefano
%D 1999
%I American Physical Society
%J Physical Review E
%K absorbing-states absorbing-transition avalanche avalanche-exponents critical-exponents directed-percolation phase-transition soc
%N 5
%P 6175--6179
%R 10.1103/PhysRevE.59.6175
%T Avalanche and spreading exponents in systems with absorbing states
%V 59
%X We present generic scaling laws relating spreading critical exponents and avalanche exponents (in the sense of self-organized criticality) in general systems with absorbing states. Using these scaling laws we present a collection of the state-of-the-art exponents for directed percolation, dynamical percolation, and other universality classes. This collection of results should help to elucidate the connections of self-organized criticality and systems with absorbing states. In particular, some nonuniversality in avalanche exponents is predicted for systems with many absorbing states.
@article{Munoz1999,
abstract = {We present generic scaling laws relating spreading critical exponents and avalanche exponents (in the sense of self-organized criticality) in general systems with absorbing states. Using these scaling laws we present a collection of the state-of-the-art exponents for directed percolation, dynamical percolation, and other universality classes. This collection of results should help to elucidate the connections of self-organized criticality and systems with absorbing states. In particular, some nonuniversality in avalanche exponents is predicted for systems with many absorbing states.},
added-at = {2011-02-08T16:15:56.000+0100},
author = {Muñoz, Miguel A. and Dickman, Ronald and Vespignani, Alessandro and Zapperi, Stefano},
biburl = {https://www.bibsonomy.org/bibtex/2f90ee22b14999e6b27537412f7f15798/rincedd},
doi = {10.1103/PhysRevE.59.6175},
interhash = {c63dba0dbae95feedee1d214d8361853},
intrahash = {f90ee22b14999e6b27537412f7f15798},
journal = {Physical Review E},
keywords = {absorbing-states absorbing-transition avalanche avalanche-exponents critical-exponents directed-percolation phase-transition soc},
number = 5,
pages = {6175--6179},
publisher = {American Physical Society},
timestamp = {2011-02-08T16:15:56.000+0100},
title = {Avalanche and spreading exponents in systems with absorbing states},
volume = 59,
year = 1999
}