Field Theory for a Model of Self-Organized Criticality

M Paczuski, S Maslov, P Bak
1994 Europhysics letters  
PACS. 05.40 -Fluctuation phenomena, random processes, and Brownian motion. PACS. 05.705 -Critical point phenomena. PACS. 87.10 -General, theoretical, and mathematical biophysics (inc. logic of biosystems, quantum biology and relevant aspects of thermodynamics, information theory, cybernetics and bionics). 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.
more » ... ranching process. Theoretical arguments, supported by numerical simulations, indicate that the resulting critical behavior is in the same universality class as Reggeon field theory.
doi:10.1209/0295-5075/28/4/013 fatcat:jfbgagbao5a3dkjz6b3yn5t5ky