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