Stochastic spatial behaviour in deterministic pattern formation

V. K. Horvath, T. Vicsek

Research output: Contribution to journalArticle


The authors introduce a new approach to the analysis of growing unstable interfaces in order to characterise the degree of their randomness. Highly ramified viscous fingering patterns are digitised and the related surface curvature data are evaluated using techniques common in the investigations of dynamical systems. Their results for the associated correlation dimension indicate that the experimentally observed deterministic patterns correspond to a spatial behaviour which is more complex than a low-dimensional chaotic geometry.

Original languageEnglish
Article number005
Pages (from-to)L259-L264
JournalJournal of Physics A: Mathematical and General
Issue number6
Publication statusPublished - Dec 1 1990

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)

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