Fractals in surface growth with power-law noise

Chi Hang Lam, L. M. Sander

Research output: Journal article publicationJournal articleAcademic researchpeer-review

8 Citations (Scopus)


The authors present a microscopic description of interface growth with power-law noise distribution in the form P( eta ) eta 1/ approximately1+ mu, which exhibits non-universal roughening. For the mu =d+1 case in d+1 dimensions, the existence of a fractal pattern in the bulk of the aggregate is explained, leading trivially to the proof of the identity alpha +z=2 for the roughening and the dynamical scaling exponents alpha and z respectively. Investigations on the distribution of step sizes of the discretized interface and the saturated growth speed further support the arguments.
Original languageEnglish
Article number009
JournalJournal of Physics A: Mathematical and General
Issue number3
Publication statusPublished - 1 Dec 1992
Externally publishedYes

ASJC Scopus subject areas

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


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