Sangam: A Confluence of Knowledge Streams

Percolation and depinning transitions in cut-and-paste models of adaptation

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dc.creator D'Hulst, R
dc.creator Rodgers, GJ
dc.date 2006-10-27T14:07:26Z
dc.date 2006-10-27T14:07:26Z
dc.date 2001
dc.date.accessioned 2022-05-25T13:06:45Z
dc.date.available 2022-05-25T13:06:45Z
dc.identifier Physica A, 308(1): 443-459(17), May 2002
dc.identifier http://www.ingentaconnect.com/content/els/03784371
dc.identifier http://bura.brunel.ac.uk/handle/2438/308
dc.identifier.uri http://localhost:8080/xmlui/handle/CUHPOERS/163647
dc.description We show that a cut-and-paste model to mimic a trial-and-error process of adaptation displays two pairs of percolation and depinning transitions, one for persistence and the other for efficiency. The percolation transition signals the onset of a property and the depinning transition, the growth of the same property. Despite its simplicity, the cut-and-paste model is qualitatively the same as the Minority Game. A majority cut-and-paste model is also introduced, to mimic the spread of a trend. When both models are iterated, the majority model reaches a frozen state while the minority model converges towards an alternate state. We show that a transition from the frozen to the alternate state occurs in the limit of a non-adaptive system.
dc.format 466724 bytes
dc.format application/pdf
dc.language en
dc.publisher Elsevier Science
dc.subject Condensed matter
dc.subject Statistical mechanics
dc.title Percolation and depinning transitions in cut-and-paste models of adaptation
dc.type Research Paper
dc.coverage 9


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