Universality of fluctuations in the Kardar-Parisi-Zhang class in high dimensions and its upper critical dimension.
Phys Rev E Stat Nonlin Soft Matter Phys
; 90(2): 020103, 2014 Aug.
Article
em En
| MEDLINE
| ID: mdl-25215669
We show that the theoretical machinery developed for the Kardar-Parisi-Zhang (KPZ) class in low dimensions is obeyed by the restricted solid-on-solid model for substrates with dimensions up to d=6. Analyzing different restriction conditions, we show that the height distributions of the interface are universal for all investigated dimensions. It means that fluctuations are not negligible and, consequently, the system is still below the upper critical dimension at d=6. The extrapolation of the data to dimensions d≥7 predicts that the upper critical dimension of the KPZ class is infinite.
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Coleções:
01-internacional
Base de dados:
MEDLINE
Assunto principal:
Modelos Teóricos
Tipo de estudo:
Prognostic_studies
Idioma:
En
Revista:
Phys Rev E Stat Nonlin Soft Matter Phys
Assunto da revista:
BIOFISICA
/
FISIOLOGIA
Ano de publicação:
2014
Tipo de documento:
Article
País de afiliação:
Brasil
País de publicação:
Estados Unidos