Exactly solvable model of interface growth

T. J. Newman

    Research output: Contribution to journalArticlepeer-review

    3 Citations (Scopus)


    We propose and exactly solve a model of interface growth. The model is applicable to Kardar-Parisi-Zhang type interfaces growing into an environment whose density decreases exponentially with height. We find that the average height of the interface grows as ln(t) for all spatial dimensions d. The interface width has a much richer dependence on d, showing a nontrivial crossover behavior around d=2.
    Original languageEnglish
    Pages (from-to)R2525-R2527
    Number of pages3
    JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
    Issue number4
    Publication statusPublished - Apr 1994


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