Author(s):
Miranda, R. P. 
; Ramos, Marta M. D. ; Cadilhe, A. M.
Date: 2003
Persistent ID: http://hdl.handle.net/1822/3362
Origin: RepositóriUM - Universidade do Minho
Document details
Finite-size scaling study of the ballistic deposition model in (1+1)-dimensions
Description
We performed extensive Monte Carlo simulations of the ballistic deposition model in (1 + 1)-dimensions for several system sizes up to 1280 lattice constants, on the square lattice. Though the ballistic deposition model is generally accepted to belong to the Kardar Parisi-Zhang (KPZ) universality class, strong corrections to scaling prevent numerical estimates of the exponents close to the asymptotic values. We obtained a ³ 0.40, b ³ 0.30, and z ³ 1.16, which are consistent with the expected KPZ values of a = 1/2, b = 1/3, and z = 3/2. We found a slow, and even non monotonic, convergence of the exponents towards the asymptotic values, which corroborates previous claims in the literature of strong corrections to scaling.
We performed extensive Monte Carlo simulations of the ballistic deposition model in (1 + 1)-dimensions for several system sizes up to 1280 lattice constants, on the square lattice. Though the ballistic deposition model is generally accepted to belong to the Kardar Parisi-Zhang (KPZ) universality class, strong corrections to scaling prevent numerical estimates of the exponents close to the asymptotic values. We obtained a ³ 0.40, b ³ 0.30, and z ³ 1.16, which are consistent with the expected KPZ values of a = 1/2, b = 1/3, and z = 3/2. We found a slow, and even non monotonic, convergence of the exponents towards the asymptotic values, which corroborates previous claims in the literature of strong corrections to scaling.
Document Type
Article
Language English
Language English
| Financiadores do RCAAP | |||||||
|
|
|
|
|
|
||