Efficiency and persistence in models of adaptation

Details Efficiency and persistence in models of adaptation Efficiency and persistence in models of adaptation

2001-05-09

arxiv.org/abs/cond-mat/0105189v1

Physics

Condensed Matter

Statistical Mechanics

4 pages, 4 figures, submitted to publication

Scientific paper

A cut-and-paste model which mimics a trial-and-error process of adaptation is introduced and solved. The model, which can be thought of as a diffusion process with memory, is characterized by two properties, efficiency and persistence. We establish a link between these properties and determine two transitions for each property, a percolation transition and a depinning transition. If the adaptation process is iterated, the antipersistent state becomes an attractor of the dynamics. Extensions to higher dimensions are briefly discussed.

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