Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The crossover region between long-range and short-range interactions for
  the critical exponents   It is well know that systems with an interaction decaying as a power of the
distance may have critical exponents that are different from those of
short-range systems. The boundary between long-range and short-range is known,
however the behavior in the crossover region is not well understood. In this
paper we propose a general form for the crossover function and we compute it in
a particular limit. We compare our predictions with the results of numerical
simulations for two-dimensional long-range percolation.

31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
19
The categories of this paper are: eess
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio