Generic Criticality in a Model of Evolution

Details Generic Criticality in a Model of Evolution Generic Criticality in a Model of Evolution

2000-03-28

arxiv.org/abs/cond-mat/0003450v2

Phys.Rev.E 62, 3356 (2000)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 3 figures, minor grammatical changes

Scientific paper

10.1103/PhysRevE.62.3356

Using Monte Carlo simulations, we show that for a certain model of biological evolution, which is driven by non-extremal dynamics, active and absorbing phases are separated by a critical phase. In this phase both the density of active sites $\rho(t)$ and the survival probability of spreading $P(t)$ decay as $t^{-\delta}$, where $\delta \sim 0.5$. At the critical point, which separates the active and critical phases, $\delta\sim 0.29$, which suggests that this point belongs to the so-called parity-conserving universality class. The model has infinitely many absorbing states and, except for a single point, has no conservation law.

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