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arXiv · 1610.04694

A model with Darwinian dynamics on a rugged landscape

Tommaso Brotto·Guy Bunin·Jorge Kurchan
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Abstract

We discuss the population dynamics with selection and random diffusion, keeping the total population constant, in a fitness landscape associated with Constraint Satisfaction, a paradigm for difficult optimization problems. We obtain a phase diagram in terms of the size of the population and the diffusion rate, with a glass phase inside which the dynamics keeps searching for better configurations, and outside which deleterious `mutations' spoil the performance. The phase diagram is analogous to that of dense active matter in terms of temperature and drive.

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Tommaso Brotto, Guy Bunin, Jorge Kurchan. 2016-10-15. A model with Darwinian dynamics on a rugged landscape. https://doi.org/10.1007/s10955-016-1637-2

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