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Phys. Rev. E 77, 048102 (2008) [2 pages]

Reply to “Comment on ‘Self-organized criticality and absorbing states: Lessons from the Ising model’ ”

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Gunnar Pruessner*
Department of Mathematics, Imperial College London, 180 Queen’s Gate, London SW7 2AZ, United Kingdom

Ole Peters
Department of Atmospheric Sciences, University of California, Los Angeles, 405 Hilgard Avenue, Los Angeles, California 90095-1565, USA

Received 5 January 2008; revised 25 March 2008; published 23 April 2008

In R. Dickman, M. A. Muñoz, A. Vespignani and S. Zapperi Braz. J. Phys. 30 27 (2000)], Dickman et al. suggested that self-organized criticality can be produced by coupling the activity of an absorbing state model to a dissipation mechanism and adding an external drive. We analyzed the proposed mechanism in G. Pruessner and O. Peters Phys. Rev. E 73 025106 (2006)] and found that if this mechanism is at work, the finite-size scaling found in self-organized criticality will depend on the details of the implementation of dissipation and driving. In the preceding paper [ M. J. Alava, L. Laurson, A. Vespignani and S. Zapperi Phys. Rev. E 77 048101 (2008)], Alava et al. show that one avalanche exponent in the absorbing state approach becomes independent of dissipation and driving. In our reply we clarify their findings and put them in the context of the original paper.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.77.048102
DOI:
10.1103/PhysRevE.77.048102
PACS:
05.65.+b, 05.50.+q, 05.70.Jk, 64.60.Ht

*URL: http://www.ma.imperial.ac.uk/~pruess; g.prussner@imperial.ac.uk

URL: http://www.santafe.edu/~ole/; ole@santafe.edu

See Also

Original Article: Gunnar Pruessner and Ole Peters, Self-organized criticality and absorbing states: Lessons from the Ising model, Phys. Rev. E 73, 025106 (2006).