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arXiv · 1111.5770

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

Ayaka Sakata·Koji Hukushima·Kunihiko Kaneko
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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.

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Ayaka Sakata, Koji Hukushima, Kunihiko Kaneko. 2011-11-24. Replica symmetry breaking in an adiabatic spin-glass model of adaptive evolution. https://doi.org/10.1209/0295-5075%2F99%2F68004

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