2016
DOI: 10.1007/s10955-016-1637-2
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A Model with Darwinian Dynamics on a Rugged Landscape

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 ac… Show more

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Cited by 5 publications
(3 citation statements)
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“…lution of a population of systems: the method balances their natural dynamics (which favour the unbiased steady state) and a selection pressure, which favours systems with atypical values of some fitness function (here, active work) [91,92]. Second, we have shown that alignment among ABPs tends to suppress collisions, leading to efficient motion.…”
Section: Discussionmentioning
confidence: 90%
“…lution of a population of systems: the method balances their natural dynamics (which favour the unbiased steady state) and a selection pressure, which favours systems with atypical values of some fitness function (here, active work) [91,92]. Second, we have shown that alignment among ABPs tends to suppress collisions, leading to efficient motion.…”
Section: Discussionmentioning
confidence: 90%
“…From a physicist’s point of view, evolution is an example of a nonequilibrium stochastic dynamical system ( 14 19 ). One of the main reasons why it is very different from dynamics studied in physics or chemical physics is that the reproduction of organisms is tightly connected with relatively precise, long-time inheritance [in contrast to self-reproduction of simple molecular systems, such as amphiphilic micelles ( 20 )].…”
Section: Discussionmentioning
confidence: 99%
“…From a physicist’s point of view evolution is an example of a non-equilibrium stochastic dynamical system [1924]. One of the main reasons why it is very different from dynamics studied in physics or chemical physics is that the reproduction of organisms is tightly connected with relatively precise, longtime inheritance (in contrast to self-reproduction of simple molecular systems, such as amphiphilic micelles [25]).…”
Section: Discussionmentioning
confidence: 99%