%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 }