TY - JOUR

T1 - Self-organized criticality in simple model of evolution

T2 - Exact description of scaling laws

AU - Pis'mak, Yu M.

PY - 2002/12/1

Y1 - 2002/12/1

N2 - The the simplest version of the Bak-Sneppen model of self-organized biological evolution with random interaction structure is considered. It's dynamics is described in the framework of master equation. The master equations can be solved exactly both for infinite system and for finite one. The equation for pair correlation function are solved exactly for infinite system. The dynamical regime of self-organized criticality in this model appears to be similar to one of completely integrable systems. Analysis of main characteristics of dynamics take it possible to revive the most essential feature of dynamics.

AB - The the simplest version of the Bak-Sneppen model of self-organized biological evolution with random interaction structure is considered. It's dynamics is described in the framework of master equation. The master equations can be solved exactly both for infinite system and for finite one. The equation for pair correlation function are solved exactly for infinite system. The dynamical regime of self-organized criticality in this model appears to be similar to one of completely integrable systems. Analysis of main characteristics of dynamics take it possible to revive the most essential feature of dynamics.

UR - http://www.scopus.com/inward/record.url?scp=0036969977&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0036969977

VL - 52

SP - 525

EP - 532

JO - Acta Physica Slovaca

JF - Acta Physica Slovaca

SN - 0323-0465

IS - 6

ER -