Dynamic scaling of the growing rough surfaces

Naoki Kobayashi*, Osamu Moriyama, So Kitsunezaki, Yoshihiro Yamazaki, Mitsugu Matsushita

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)


We have numerically investigated the self-affinity of the bacterial colony model. In order to examine the growth exponent β, we find a new approach to the dynamic scaling hypothesis for the growing rough surface. We have first investigated the self-affinity of the well-known Eden model to check the validity of the new approach. The obtained results of the exponents α ≅ 0.50 and β ≅ 0.33 coincide with the well-known values of the exponents of the Eden model. We have then applied it successfully to growing interfaces produced by the bacterial colony model. We have found that the self-affinity of the bacterial colony model is characterized as α ≅ 0.80 and β ≅ 0.65.

Original languageEnglish
Pages (from-to)2112-2116
Number of pages5
Journaljournal of the physical society of japan
Issue number8
Publication statusPublished - 2004 Aug 1


  • Bacterial colonies
  • Dynamic scaling
  • Growing rough surface
  • Pattern formation
  • Self-affinity

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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