Universality and crossover behavior of single-step growth models in 1+1 and 2+1 dimensions

Physical Review. E
E Daryaei

Abstract

We study the kinetic roughening of the single-step (SS) growth model with a tunable parameter p in 1+1 and 2+1 dimensions by performing extensive numerical simulations. We show that there exists a very slow crossover from an intermediate regime dominated by the Edwards-Wilkinson class to an asymptotic regime dominated by the Kardar-Parisi-Zhang (KPZ) class for any p<1/2. We also identify the crossover time, the nonlinear coupling constant, and some nonuniversal parameters in the KPZ equation as a function p. The effective nonuniversal parameters are continuously decreasing with p but not in a linear fashion. Our results provide complete and conclusive evidence that the SS model for p≠1/2 belongs to the KPZ universality class in 2+1 dimensions.

References

Dec 1, 1986·Physical Review A: General Physics·P MeakinR C Ball
May 15, 1992·Physical Review. a·L H TangD E Wolf
Mar 1, 1987·Physical Review. B, Condensed Matter·M PlischkeD Liu
Sep 1, 1988·Physical Review. B, Condensed Matter·D Liu, M Plischke
Aug 1, 1994·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·E Frey, U C Täuber
Mar 3, 1986·Physical Review Letters·M KardarY C Zhang
May 18, 1987·Physical Review Letters·M Kardar, Y C Zhang
May 8, 1989·Physical Review Letters·J M Kim, J M Kosterlitz
Mar 19, 1990·Physical Review Letters·B M Forrest, L H Tang
May 7, 1990·Physical Review Letters·J Krug, H Spohn
Nov 5, 1990·Physical Review Letters·L H TangB M Forrest
Feb 10, 1992·Physical Review Letters·L H Gwa, H Spohn
Sep 16, 2000·Physical Review Letters·M Prahofer, H Spohn
Oct 25, 2000·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·J KondevD G Salinas
Jan 7, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Anna Chame, F D A Aarão Reis
Jul 13, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·D MuracaR C Buceta
Aug 16, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·T J OliveiraF D A Aarão Reis
Apr 28, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Géza OdorKarl-Heinz Heinig
Sep 28, 2010·Physical Review Letters·Kazumasa A Takeuchi, Masaki Sano
Sep 28, 2010·Physical Review Letters·Tomohiro Sasamoto, Herbert Spohn
Jul 21, 2011·Physical Review Letters·Pasquale Calabrese, Pierre Le Doussal
Feb 23, 2012·Scientific Reports·Kazumasa A TakeuchiHerbert Spohn
Mar 10, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·T J OliveiraS G Alves
Mar 10, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·F A Silveira, F D A Aarão Reis
Dec 12, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Thomas KlossNicolás Wschebor
May 18, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·T J OliveiraS C Ferreira
Nov 16, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Timothy Halpin-Healy
Dec 11, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Sidiney G AlvesSilvio C Ferreira
Aug 15, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Andrea Pagnani, Giorgio Parisi
Sep 15, 2016·Physical Review. E·Jeffrey KellingSibylle Gemming
Oct 3, 2019·Physical Review. E·Waldenor P GomesFernando A Oliveira

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