Sign-time distributions for interface growth

Z. Toroczkai, T. J. Newman, S. Das Sarma

    Research output: Contribution to journalArticlepeer-review

    36 Citations (Scopus)


    We apply the recently introduced distribution of sign-times (DST) to nonequilibrium interface growth dynamics. We are able to treat within a unified picture the persistence properties of a large class of relaxational and noisy linear growth processes, and prove the existence of a nontrivial scaling relation. A critical dimension is found, relating to the persistence properties of these systems. We also illustrate, by means of numerical simulations, the different types of DST to be expected in both linear and nonlinear growth mechanisms.
    Original languageEnglish
    Pages (from-to)R1115-R1118
    Number of pages4
    JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
    Issue number2
    Publication statusPublished - Aug 1999


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