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Universal and nonuniversal features in the crossover from linear to nonlinear interface growth.
Oliveira, T J; Dechoum, K; Redinz, J A; Aarão Reis, F D A.
Afiliação
  • Oliveira TJ; Instituto de Física, Universidade Federal Fluminense, Avenida Litorânea s/n, 24210-340 Niterói RJ, Brazil. tiagojo@if.uff.br
Phys Rev E Stat Nonlin Soft Matter Phys ; 74(1 Pt 1): 011604, 2006 Jul.
Article em En | MEDLINE | ID: mdl-16907104
We study a restricted solid-on-solid model involving deposition and evaporation with probabilities p and 1 - p, respectively, in one-dimensional substrates. It presents a crossover from Edwards-Wilkinson (EW) to Kardar-Parisi-Zhang (KPZ) scaling for p approximately 0.5. The associated KPZ equation is analytically derived, exhibiting a coefficient lambda of the nonlinear term proportional to q identical with p - 1/2, which is confirmed numerically by calculation of tilt-dependent growth velocities for several values of p. This linear lambda - q relation contrasts to the apparently universal parabolic law obtained in competitive models mixing EW and KPZ components. The regions where the interface roughness shows pure EW and KPZ scaling are identified for 0.55< or =p< or =0.8, which provides numerical estimates of the crossover times tc. They scale as tc approximately lambda -phi with phi=4.1+/-0.1, which is in excellent agreement with the theoretically predicted universal value phi=4 and improves previous numerical estimates, which suggested phi approximately 3.
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Coleções: 01-internacional Base de dados: MEDLINE Tipo de estudo: Prognostic_studies Idioma: En Revista: Phys Rev E Stat Nonlin Soft Matter Phys Assunto da revista: BIOFISICA / FISIOLOGIA Ano de publicação: 2006 Tipo de documento: Article País de afiliação: Brasil País de publicação: Estados Unidos
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Coleções: 01-internacional Base de dados: MEDLINE Tipo de estudo: Prognostic_studies Idioma: En Revista: Phys Rev E Stat Nonlin Soft Matter Phys Assunto da revista: BIOFISICA / FISIOLOGIA Ano de publicação: 2006 Tipo de documento: Article País de afiliação: Brasil País de publicação: Estados Unidos