HIGH-DIMENSIONAL BEHAVIOR OF THE KARDAR-PARISI-ZHANG GROWTH DYNAMICS

Authors
CASTELLANO C GABRIELLI A MARSILI M MUNOZ MA PIETRONERO L
Citation
C. Castellano et al., HIGH-DIMENSIONAL BEHAVIOR OF THE KARDAR-PARISI-ZHANG GROWTH DYNAMICS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 58(5), 1998, pp. 5209-5212
Citations number
27
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
58
Issue
5
Year of publication
1998
Part
A
Pages
5209 - 5212
Database
ISI
SICI code
1063-651X(1998)58:5<5209:HBOTKG>2.0.ZU;2-G
Abstract
We investigate analytically the large dimensional behavior of the Kard ar-Parisi-Zhang (KPZ) dynamics of surface growth using a recently prop osed nonperturbative renormalization for self-affine surface dynamics. Within this framework, we show that the roughness exponent cu decays not faster than alpha similar to 1/d for large d. This implies the abs ence of a finite upper critical dimension. [S1063-651X(98)50611-3].