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Field Theory for a Model of Self-Organized Criticality

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Published under licence by IOP Publishing Ltd
, , Citation M. Paczuski et al 1994 EPL 27 97 DOI 10.1209/0295-5075/27/2/004

0295-5075/27/2/97

Abstract

The specific mechanism of self-organization to a critical state is identified for the Bak-Sneppen evolution model. This model is mapped exactly to an underlying branching process. Theoretical arguments, supported by numerical simulations, indicate that the resulting critical behavior is in the same universality class as Reggeon field theory.

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10.1209/0295-5075/27/2/004