Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Scaling of local interface width of statistical growth models   We discuss the methods to calculate the roughness exponent alpha and the
dynamic exponent z from the scaling properties of the local roughness, which is
frequently used in the analysis of experimental data. Through numerical
simulations, we studied the Family, the restricted solid-on-solid (RSOS), the
Das Sarma-Tamborenea (DT) and the Wolf-Villain (WV) models in one- and two
dimensional substrates, in order to compare different methods to obtain those
exponents. The scaling at small length scales do not give reliable estimates of
alpha, suggesting that the usual methods to estimate that exponent from
experimental data may provide misleading conclusions concerning the
universality classes of the growth processes. On the other hand, we propose a
more efficient method to calculate the dynamic exponent z, based on the scaling
of characteristic correlation lengths, which gives estimates in good agreement
with the expected universality classes and indicates expected crossover
behavior. Our results also provide evidence of Edwards-Wilkinson asymptotic
behavior for the DT and the WV models in two-dimensional substrates.

12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
2
The categories of this paper are: math