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Phys Rev E Stat Nonlin Soft Matter Phys. 2002 Feb;65(2 Pt 2):026136. Epub 2002 Jan 23.

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

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  • 1Dipartimento di Fisica, INFM and INFN, Universit√† di Roma La Sapienza, P. A. Moro 2, 00185 Roma, Italy. enzo.marinari@roma1.infn.it


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.

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