Spatial suppression of error catastrophe in a growing pattern

Shoichi Toyabe, Masaki Sano

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)

Abstract

Error catastrophe is studied in a growing pattern with cellular automata. It is found that, although the critical error threshold Pc for error catastrophe decreases monotonically with decreasing diffusion coefficient D, Pc remains at a finite value in the limit that D goes to 0 because particles with higher growth rate repress the growth of those with lower growth rate spatially. The possibility that the spatial structure accelerates the evolution is also discussed.

Original languageEnglish
Pages (from-to)1-8
Number of pages8
JournalPhysica D: Nonlinear Phenomena
Volume203
Issue number1-2
DOIs
Publication statusPublished - 2005 Apr 1
Externally publishedYes

Keywords

  • Cellular automata
  • Error catastrophe
  • Pattern formation
  • Quasispecies theory

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Applied Mathematics

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