2000/05/31 by Enzo Marinari, E. Marinari, A. Pagnani +3 · 3 citations
Physics and Astronomy · #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Theoretical and Computational Physics #cond-mat.dis-nn #cond-mat.stat-mech
paper · pdf · doi:10.1088/0305-4470/33/46/303
published as J. Phys. A: Math. Gen. 33 (2000) 8181 · 10 pages, 8 eps figures (2 figures added). Published version
openalex publication_date 2000/11/09 · arxiv created 2000/12/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
We study the KPZ equation (in D = 2, 3 and 4 spatial dimensions) by using a restricted solid-on-solid discretization of the surface. We measure the critical exponents very precisely, and we show that the rational guess is not appropriate, and that D = 4 is not the upper critical dimension. We are also able to determine very precisely the exponent of the sub-leading scaling corrections, that turns out to be close to unity in all cases. We introduce and use a multi-surface coding technique, that allows a gain of the order of 30-fold over usual numerical simulations.