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

82 Citations (Scopus)

Abstract

Simulations of restricted solid-on-solid growth models are used to build the width distributions of d=2-5 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 d=4 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
Article number026136
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume65
Issue number2
DOIs
Publication statusPublished - Feb 2002

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Critical Dimension
Scaling Function
scaling
Universal Function
Solid Model
Growth Model
infinity
Infinity
trends
Simulation
simulation
Trends

ASJC Scopus subject areas

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

Cite this

Width distributions and the upper critical dimension of Kardar-Parisi-Zhang interfaces. / Marinari, E.; Pagnani, A.; Parisi, G.; Rácz, Z.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 65, No. 2, 026136, 02.2002.

Research output: Contribution to journalArticle

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