Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Inhomogeneous sandpile model: Crossover from multifractal scaling to
  finite size scaling   We study an inhomogeneous sandpile model in which two different toppling
rules are defined. For any site only one rule is applied corresponding to
either the Bak, Tang and Wiesenfeld model {[}P.Bak, C. Tang, and K. Wiesenfeld,
Phys. Rev. Lett. \textbf{59}, 381 (1987){]} or the Manna two-state sandpile
model {[}S. S. Manna, J. Phys. A \textbf{24}, L363 (1991){]}. A parameter $c$
is introduced which describes a density of sites which are randomly deployed
and where the stochastic Manna rules are applied. The results show that the
avalanche area exponent $\tau_{a}$, avalanche size exponent $\tau_{s}$, and
capacity fractal dimension $D_{s}$ depend on the density $c$. A crossover from
multifractal scaling of the Bak, Tang, and Wiesenfeld model ($c=0$) to finite
size scaling was found. The critical density $c$ is found to be in the interval
$0<c<0.01$. These results demonstrate that local dynamical rules are important
and can change the global properties of the model.

31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
3
The categories of this paper are: physics
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph