Width distributions and the upper critical dimension of Kardar-Parisi-Zhang interfaces

E. Marinari, A. Pagnani, G. Parisi, Z. Rácz

Research output: Contribution to journalArticle

83 Citations (Scopus)

Abstract

Simulations of restricted solid-on-solid growth models are used to build the width distributions of [formula presented] dimensional Kardar-Parisi-Zhang (KPZ) interfaces. We find that the universal scaling function associated with the steady-state width distribution changes smoothly as d is increased, thus strongly suggesting that [formula presented] is not an upper critical dimension for the KPZ equation. The dimensional trends observed in the scaling functions indicate that the upper critical dimension is at infinity.

Original languageEnglish
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume65
Issue number2
DOIs
Publication statusPublished - Jan 1 2002

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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