Generic Criticality in a Model of Evolution

Abstract

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.

4 pages, 3 figures, minor grammatical changes

References in corpus (2)

• A first-order transition with power-law singularity in models with absorbing states
• Dimensional reduction in a model with infinitely many absorbing states

Cited by in corpus (3)

• Phase transition and selection in a four-species cyclic Lotka-Volterra model
• Criticality of natural absorbing states
• Novel criticality in a model with absorbing states