title: Width distributions and the upper critical dimension of Kardar-Parisi-Zhang interfaces.
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.
authors.affiliation: Dipartimento di Fisica, INFM and INFN, Università di Roma La Sapienza, P. A. Moro 2, 00185 Roma, Italy. enzo.marinari@roma1.infn.it
authors.forename: E
authors.initials: E
authors.lastname: Marinari
authors.forename: A
authors.initials: A
authors.lastname: Pagnani
authors.forename: G
authors.initials: G
authors.lastname: Parisi
authors.forename: Z
authors.initials: Z
authors.lastname: Rácz