Avalanches in the directed percolation depinning and Self-Organized Depinning models of interface roughening

S. V. Buldyrev*, L. A N Amaral, A. L. Barabási, S. T. Harrington, S. Havlin, J. Kertész, R. Sadr-Lahijany, H. E. Stanley

*Corresponding author for this work

Research output: Contribution to journalArticle

3 Scopus citations

Abstract

We review the recently introduced Directed Percolation Depinning (DPD) and Self-Organized Depinning (SOD) models for interface roughening with quenched disorder. The differences in the dynamics of the invasion process in these two models are discussed and different avalanche definitions are presented. The scaling properties of the avalanche size distribution and the properties of active cells are discussed.

Original languageEnglish (US)
Pages (from-to)307-319
Number of pages13
JournalFractals
Volume4
Issue number3
DOIs
StatePublished - Jan 1 1996

ASJC Scopus subject areas

  • Modeling and Simulation
  • Geometry and Topology
  • Applied Mathematics

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    Buldyrev, S. V., Amaral, L. A. N., Barabási, A. L., Harrington, S. T., Havlin, S., Kertész, J., Sadr-Lahijany, R., & Stanley, H. E. (1996). Avalanches in the directed percolation depinning and Self-Organized Depinning models of interface roughening. Fractals, 4(3), 307-319. https://doi.org/10.1142/S0218348X9600042X