Replica symmetry breaking in an adiabatic spin-glass model of adaptive evolution

Abstract

We study evolutionary canalization using a spin-glass model with replica theory, where spins and their interactions are dynamic variables whose configurations correspond to phenotypes and genotypes, respectively. The spins are updated under temperature T_S, and the genotypes evolve under temperature T_J, according to the evolutionary fitness. It is found that adaptation occurs at T_S < T_S^{RS}, and a replica symmetric phase emerges at T_S^{RSB} < T_S < T_S^{RS}. The replica symmetric phase implies canalization, and replica symmetry breaking at lower temperatures indicates loss of robustness.

5pages, 2 figures

References in corpus (2)

• Spontaneous Emergence of Modularity in a Model of Evolving Individuals
• Funnel landscape and mutational robustness as a result of evolution under thermal noise

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